It takes Anastasia 50 minutes to walk 3 1/2 miles to the park. At this rate, about how many minutes should it take her to walk 5 miles?

Answers

Answer 1

Answer:

about 71minutes

Explanation:

If it takes Anastasia 50 minutes to walk 3 1/2 miles to the park, then;

50 minutes = 3.5 miles

To get the time taken for her to walk 5miles;

x = 5miles

Divide both expressions

50/x = 3.5/5

Cross multiply

3.5x = 50*5

3.5x = 250

x = 250/3.5

x = 71.42miles

Hence it will take her about 71minutes to walk 5miles


Related Questions

whats the constant proportionality of the table. x 30 24 9 y 10 8 3

Answers

Let:

y = kx

Where:

k = constant proportionality of the table

If x = 30, y = 10:

10 = k30

Solving for k:

k = 10/30 = 1/3

Verify the answer:

If x = 24, y = 8:

y = kx = 1/3*24 =24/3 = 8

Therefore, the constant proportionality of the table is 1/3

If h(x)=-3x and g(x)=2x-1 what input value would make h(x)=12?

Answers

The question gives the function h(x) as

[tex]h(x)=-3x[/tex]

To find the value that will make the function 12, we equate the function to 12, such that

[tex]-3x=12[/tex]

Solving to get x, we have

[tex]\begin{gathered} x=\frac{12}{-3} \\ x=4 \end{gathered}[/tex]

Therefore, h(x) = 12 when x = 4.

In right triangle XYZ, the hypotenuse measures 14 inches and one leg measures 10 inches. Find the length of the other leg. Show your work and write your answer in simplest radical form.

Answers

As per given by the question,

There are given that a triangle XYZ, and the hypotenuse of the triangle is 14 in., and one leg is 10 in.

Now,

First draw the triangle XYZ.

Now,

From the triangle XYZ, XZ is hypotenuse of the triangle, XY is the first leg of the triangle, and YZ is second leg of the triangle.

So,

First leg z is 10, then find the value of second leg x.

Then,

To find the value of second leg, here use pythagoras theorem.

So,

From the pythagoras theorem;

[tex]XY^2+YZ^{2^{}^{}}=XZ^2[/tex]

Now,

[tex]\begin{gathered} XY^2+YZ^2=XZ^2 \\ 10^2+x^2=14^2 \\ 100+x^2=196 \\ x^2=196-100 \\ x^2=96 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} x^2=96 \\ x=\sqrt{96}^{} \\ x=9.79 \end{gathered}[/tex]

Hence, the length of the other leg is 9.79.

Use the graph to respond to the questions. 6a. What is the height of the ball before its thrown? b. Approximately how high in the air did the ball go? C. NWAOOOOO INW Approximately long did it take the ball to reach the max height? d. How long was the ball in the air? 34(0.3) 2 e. (-0.2.0) -2 -1 (3.0) t 3 4 What does the point (3, 0) tell us about this situation? 1 INV

Answers

Given data:

The given graph is shown.

a)

The initial height of the ball is 3 units.

b)

The maximum height of the ball is approx 12.5 units.

c)

The time taken by the ball to reach maximum height is 1.5 units.

d)

The time ball was in air is 3 units.

e)

The point (3,0) denoted the coordinate of time is 3 when height is zero.

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 34minutes of calls is $25.92, and the remaining credit after 53 minutes of calls is $23.64. What is the remaining credit after 71 minutes of calls?

Answers

The remaining credit after 71 minutes is $21.48

To solve this, we can calculate the equation of the linear function that represents the remaining credit

x is the time in minutes, y is the remaining credit. the we have two points of the line and we can calculate the equation

34 min and $25.92 => (34,25.92)

53 min and 23.64 => (53,23.64)

the formula to calculate the slope of a line is

[tex]m=\frac{y_2-y_1}{x_2-x_1_{}}=\frac{23.64-25.92}{53-34}=-0.12[/tex]

now we know the slope, we can get the line euqation

[tex]y=m(x-x_1)+y_1\Rightarrow\text{ y=-0.12(x-34)+25.92=-0.12x+30}[/tex]

Now for wathever x we ask, just plug it in to the equation and will give you the reamining credit.

for x=71 min:

[tex]y=-0.12(71)+30=-8.52+30=21.48[/tex]

theremaining credit is $21.48.

Section 1- Question 10Use the quadratic formula to solve the following equation:4m2-7m +2=57+√97A87+√17B87 + √1C87+√-63D8

Answers

The Solution:

Given:

[tex]4m^2-7m+2=5[/tex]

We are required to use the Quadratic Formula to solve the equation above.

[tex]\begin{gathered} 4m^2-7m+2-5=0 \\ 4m^2-7m-3=0 \end{gathered}[/tex]

The Quadratic Formula is:

[tex]m=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]\begin{gathered} a=4 \\ b=-7 \\ c=-3 \end{gathered}[/tex]

Substitute:

[tex]m=\frac{-(-7)\pm\sqrt{(-7)^2-4(4)(-3)}}{2(4)}[/tex][tex]m=\frac{7\pm\sqrt{49+48}}{8}=\frac{7\pm\sqrt{97}}{8}[/tex]

Therefore, the correct answer is [option A]

write an equivalent ratio in simplest form of the ratio 1852 to 3690

Answers

926/1845

Explanation:

To get the equivalent ratio in its simplest form, wefind the numbers common to both numbers.

[tex]\begin{gathered} \frac{1852}{3690} \\ \end{gathered}[/tex]

2 is common to both, so we divide:

[tex]\begin{gathered} 1852\div\text{ 2 = 926 } \\ 3690\div2\text{ = 1845} \\ \frac{926}{1845} \end{gathered}[/tex]

We check again if there is a number common to them

No number is common to both numerator and denominator asides 1

Hence, the simplest form is 926/1845

In the figure, LMN is congruent to QRS.What is the value of x and y?

Answers

If they are congruent, then;

3x + 5 = 2x + 10

collect like term

3x - 2x = 10 - 5

x = 5

Similarly,

y + 6 = 2y - 12

collect like term

2y - y = 6 + 12

y = 18

What is the parallel slope to this equation? f(x)=-5x + 6

Answers

Remember the equation of a line with slope m and y-intercept b:

[tex]y=mx+b[/tex]

Which can be expressed in terms of functions by replacing y=f(x)

[tex]f(x)=mx+b[/tex]

Any line with the same slope will be parallel to that equation.

By comparing with:

[tex]f(x)=-5x+6[/tex]

We can know that its slope is equal to -5.

Since the "parallel slope" is just the slope, then

Last week you worked 28 hours, and earned $266. What is your hourly pay rate? $ per hour Give your answer in dollars and cents (like 5.50)

Answers

1) Gathering the data

Last week

28 worked hours = $266

What is your hourly pay rate?

2) To find out that, let's set a proportion

Worked hours $

28------------------------ 266

1--------------------------- x

Let's use the fundamental property of a proportion that allows us to cross multiply the ratios of that proportion

So the hourly pay rate is approximately $11.08 per hour.

Find the midpoint and distance on points (5,5) and (-1,3)

Answers

Given:

Two points (5, 5) and (-1, 3).

To find the midpoint and distance:

Using the midpoint formula,

[tex]\begin{gathered} m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{5-1}{2},\frac{5+3}{2}) \\ =(\frac{4}{2},\frac{8}{2}) \\ =(2,4) \end{gathered}[/tex]

Thus, the mid-point formula is (2, 4).

Using the distance formula,

[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}} \\ =\sqrt[]{(-1-5)^2+(3-5)^2} \\ =\sqrt[]{(-6)^2+(-2)^2} \\ =\sqrt[]{36+4} \\ =\sqrt[]{40} \\ =2\sqrt[]{10}\text{ units} \end{gathered}[/tex]

Thus, the distance between the two points is,

[tex]2\sqrt[]{10}units[/tex]

I would like someone to help me so I can understand what to do. Pls anyone

Answers

we have that

2 cups in a pint

2 pints in a quart

4 quarts in a gallon

so

4 cups in 2 pints

4 cups in a quart

16 cups in 4 quarts

16 cups in a gallon

and

we have

3 parts red and 5 parts yellow

3 parts +5 parts=8 parts

8 parts=1 gallon

red paint fraction is 3/8 gallon

yellow paint fraction is 5/8 gallon

Remember that

I need 16 cups for a gallon

Apply proportion

16/1=x/(3/8)

x=(3/8)16

x=6 cups

I A bar of gold is 10 cm long,5 cm wide, and 7 cm high. What is it's volume?

Answers

Assuming the bar of gold has a rectangular form, its volume would be the product between all three dimensions.

[tex]A=10\operatorname{cm}\cdot5\operatorname{cm}\cdot7\operatorname{cm}=350\operatorname{cm}^3[/tex]

Therefore, the volume is 350 cubic centimeters.

19.3 g/cm³
Explained- Density of a substance refers to the mass of the substance per unit volume.

Which of the following is not a step in solving the equation 3/x = 8/7 (1) Divide both sides of the equation by 8(2) Use cross products to write the equation 3.7 =8x(3) Divide both sides of the equation by 3(4) Rewrite 3.7 as 21

Answers

Let's solve the equation:

3/x = 8/7

8x = 3 * 7 Cross product

8x = 21 Rewrite 3 * 7 as 21

Dividing both sides by 8:

8x/8 = 21/8

x = 2.625

As you can see, we do not follow step 3. Divide both sides of the equation by 3.

Solve 9abs(3n-2) + 6 > 51 and graph on the number line

Answers

Solving the inequality,

[tex]\begin{gathered} 9\lvert3n-2\rvert+6>51 \\ \rightarrow9\lvert3n-2\rvert>45 \\ \rightarrow\lvert3n-2\rvert>5 \end{gathered}[/tex]

Remember that if

[tex]\lvert u\rvert>a,a>0\Rightarrow u<-a\text{ or }u>a[/tex]

This way, we get:

[tex]\begin{gathered} 3n-2<-5\rightarrow3n<-3\rightarrow n<-1 \\ 3n-2>5\rightarrow3n>7\rightarrow n>\frac{7}{3} \end{gathered}[/tex]

As an interval, we get:

[tex]\: \mleft(-\infty\: ,\: -1\mright)\cup\mleft(\frac{7}{3},\: \infty\: \mright)[/tex]

In the number line, we get:

An arch is in the shape of a parabola. It has a span of 96 feet and a maximum height of 8 feet.Find the equation of the parabola. ______________Determine the distance from the center at which the height is 2 feet. ___________

Answers

We know the equation of a parabola can be written as

y = a(x-b1) (x-b2) where a is a constant and b1 and b2 are the zeros

y = a ( x - 48) ( x - -48)

y = a ( x-48) (x+48)

Now when x = 0 y = 8

8 = a ( 0-48) ( 0+48)

8 = a (-2304)

-8/2304 = a

-1/288 = a

y = -1/288 ( x-48) (x+48)

This is the equation for the parabola

Now let y = 2

2 = -1/288 ( x-48) (x+48)

Multiply each side by -288

-576 = (x-48)(x+48)

FOIL

-576 = x^2- 2304

ADD 2304 to each side

1728=x^2

Take the square root of each side

24 sqrt(3) = x

24 sqrt(3) ft

41.569 ft

Joy has $68,020 in a savings account that earns 13% annually. The interest is not compounded. How much will she have in 5 years?

Answers

A = P + I

A is the new value

P is the initial value

I is the interest

I = PRT

R is the rate in decimal

T is the time

Joy has $68020

P = 68020

The account earns 13% annually

R = 13% = 13/100 = 0.13

The time is 5 years

T = 5

Let us find I, then A

I = 68020(0.13)(5)

I = 44213

Now let us find A

A = 68020 + 44213

A = $112233

She has $112233 in 5 years

Find the value of 4² + 6².

Answers

Answer:

Step-by-step explanation:

52

Answer:  The correct answer is 52

Step-by-step explanation:

4² + 6²

4*4 + 6*6

16 + 36 = 52

solve the given system of equations2y=x+93x-6y=-15

Answers

Answer:

No solutions

Explanation:

The given system of equations is

2y = x + 9

3x - 6y = -15

To solve the system, we first need to solve the first equation for x, so

2y = x + 9

2y - 9 = x + 9 - 9

2y - 9 = x

Then, replace x = 2y - 9 on the second equation

3x - 6y = -15

3(2y - 9) - 6y = -15

3(2y) + 3(-9) - 6y = -15

6y - 27 - 6y = -15

-27 = -15

Since -27 is not equal to -15, we get that this system of equation doesn't have solutions.

When simplified, |9+ (4-3) – 17| has a value of ______.

Answers

We have the following expression:

[tex]|9+(4-3)-17|[/tex]

First, let's solve the operation inside the parenthesis.

[tex]|9+1-17|[/tex]

Second, we add and subtract accordingly.

[tex]\lvert-7\rvert[/tex]

Third, we apply the absolute value property.

[tex]\lvert-7\rvert=7[/tex]

In conclusion, the values is 7

Can you please help me with this question D and E

Answers

Solution

Part d

T= -2ºC, V=15 km/hr

We can convert to F and mi/h like this:

T= 1.8*(-2)+ 32= 28.4ºF

Ms= As/0.62= 15 km/hr /0.62= 24.19 mi/hr

Replacing we have:

[tex]WC=35.74+0.6215\cdot(28.4)-35.75(24.19^{0.16})+0.4275(28.4)(24.19^{0.16})[/tex]

Solving we got:

[tex]WC=35.74+17.651-59.519+20.213=14.08[/tex]

Rounded to one decimal we got:

14.1

Part e

T= 10ºC = 1.8(10)+ 32=50ºF

Ms = 34 km/hr

Ms= As/0.62= 34 km/hr/ 0.62= 54.84 mi/hr

Replacing we got:

[tex]WC=35.74+0.6215\cdot(50)-35.75\cdot(54.84^{0.16})+0.4275(50)(54.84^{0.16})[/tex][tex]WC=35.74+31.075-67.847+40.566=39.53[/tex]

Rounded to the nearest tenth we got:

39,5

Althought the reported temperature is 50 ºFahrenheit, because of wind it feels like 39.5 Fahrenheit

ans (alpha particles) at Figure 127 Exercises 12.6. complete the following: Find the intercepts and domain and perform the symmetry test (a) 9x^2 - 16y^2 = 144

Answers

We have that the general equation of the hyperbola is the following:

[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]

where 'a' and '-a' are the x-intercepts.

In this case, we have the following equation:

[tex]9x^2-16y^2=144[/tex]

then, we have to divide both sides by 144 to get on the right side 1, thus, we have the following:

[tex]\begin{gathered} (9x^2-16y^2=144)(\frac{1}{144}) \\ \Rightarrow\frac{9}{144}x^2-\frac{16}{144}y^2=1 \\ \Rightarrow\frac{x^2}{16}-\frac{y^2}{9}=1 \end{gathered}[/tex]

now, notice that we have that:

[tex]a^2=16[/tex]

then, the x-intercepts are:

[tex]\begin{gathered} a^2=16 \\ \Rightarrow a=\pm\sqrt[]{16}=\pm4 \\ a_1=4 \\ \text{and} \\ a_2=-4 \end{gathered}[/tex]

therefore, the x-intercepts are 4 and -4.

Now that we know that the intercepts are on those points, we can see that the hyperbola has the following graph:

we can see that the hyperbola is not defined between -4 and 4, therefore, the domain of the hyperbola is:

[tex](-\infty,-4\rbrack\cup\lbrack4,\infty)[/tex]

finally, to perform the symmetry test, we have to check first both axis simmetries by changing x to -x and y to -y:

[tex]\begin{gathered} \frac{x^2}{16}-\frac{(-y)^2}{9}=1 \\ \Rightarrow\frac{x^2}{16}-\frac{y^2}{9}=1 \\ then \\ \frac{(-x)^2}{16}-\frac{y^2}{9}=1 \\ \Rightarrow\frac{x^2}{16}-\frac{y^2}{9}=1 \end{gathered}[/tex]

since the hyperbola got symmetry about the x-axis and the y-axis, we have that the hyperbola got symmetry about the origin

The circumference of the hub cap of a tire is 79.63 centimeters. Find the area of this hub cap. Us3.14 for a. Use pencil and paper. If the circumference of the hub cap were smaller, explain how twould change the area of the hub cap.The area of this hub cap is about square centimeters.(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearestthousandth as needed.)

Answers

Recall that the circumference of a circle is given by the following formula:

[tex]C=2\pi r,[/tex]

where r is the radius of the circle.

We are given that:

[tex]79.63cm=2\pi r,[/tex]

therefore:

[tex]r=\frac{79.63}{2*\pi}cm.[/tex]

Now, the area of a circle is given by the following formula:

[tex]A=\pi r^2,[/tex]

Therefore, the area of the hub cap is:

[tex]A=\pi *(\frac{79.63cm}{2})^2*\frac{1}{\pi^2}\approx505cm^2.[/tex]

Answer:

[tex]\begin{equation*} 505cm^2. \end{equation*}[/tex]

Given that the radius of the circle and the circumference are proportionally related, if the circumference is smaller then the radius is smaller. The area is proportionally related to the radius squared, therefore, a smaller circumference implies a smaller radius which implies a smaller area.

a. Make a scatter plot of the data in the table below.b. Does it appear that a linear model or an exponential model is the better fit for the data?

Answers

a) Option C

b) A linear model

Explanation:

To determine the correct plot from the options, we trace the x and y values given

Option A:

When x = 5, y = 1

when x = 6.6, y = 2

We see this is exact opposite of the values in the given table

Option B:

when x = 5, y = 5

when x = 6.6, y = 6.6

This is also different from the given values in the table

Option C:

when x = 1, y = 5

when x = 2, y = 6.6

when x = 3, y = 8.4

This is the same as the given values in the table.

Hence, the correct scatter plot is option C

We need to check if the points are linear:

[tex]\begin{gathered} u\sin g\text{ any two points on the table,} \\ \text{rate = }\frac{6.6\text{ - 5}}{2-1}\text{ = 1.6/1 = 1.6} \\ \text{rate = }\frac{8.4\text{ - 6.6}}{3-2}\text{ = 1.8/1 = 1.8} \\ \text{rate = }\frac{10.2\text{ - 8.4}}{3\text{ - 2}}\text{ = 1.8/1 = 1.8} \\ \text{rate = }\frac{12-10.2}{4-3}\text{ = 1.2/1 = 1.2} \end{gathered}[/tex]

A linear model fit the data

What is the equation of the line shiwn graphed below

Answers

we are given the horizontal line. To determine the equation of this line let's remember that the equation of any horizontal line is of the form:

[tex]y=k[/tex]

Where "k" is the point where the line touches the y-axis, in this case, the equation of the line is:

[tex]y=4[/tex]

Elisa's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 8 senior citizen tickets and 5 child tickets for a total of $94. The school took in $152 on the second day by selling 4 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Answers

Let's define the next variables:

x: price of one senior ticket

y: the price of one child ticket

On the first day of ticket sales, the school sold 8 senior citizen tickets and 5 child tickets for a total of $94. That is:

8x + 5y = 94 (eq. 1)

The school took in $152 on the second day by selling 4 senior citizen tickets and 10 child tickets. That is:

4x + 10y = 152 (eq. 2)

Multiplying equation 2 by 2, we get:

2(4x + 10y) = 2*152

8x + 20y = 304 (eq. 3)

Subtracting equation 1 to equation 3, we get:

8x + 20y = 304

-

8x + 5y = 94

------------------------

15y = 210

y = 210/15

y = 14

Substituting this result into equation 1:

8x + 5(14) = 94

8x + 70 = 94

8x = 94 - 70

8x = 24

x = 24/8

x = 3

Each senior citizen ticket cost $3 and each child ticket cost $14

20 points 2. Krisstopher was driving to Houston from Pasadena, he drives a 2 3/4 miles and stops for a break. He then drives 5 1/2 miles to reach his destination. What distance in miles did Krisstopher travel to reach his final destination. 81/4 miles 71/2 miles 81/2 miles 6 1/3 miles Clear selection

Answers

Add 2 + 3/4 + 5 + 1/2

this gives (2+5) + ( 3/4+2/4)

7 + 5/4 = 8.25

Dan paid three times as much as Greg for his dinner. (Translate the given situation into an equation. Pick the variable you use according to the context.

Answers

Let d represent Dan payment and let g represent Greg payment

"Dan paid three times as much as Greg for his dinner" can be represented as

d= 3g

Number 2

Let x represent the cost of Gym A and Y represent the cost of Gym B

Since Gym B cost twice as much as Gym A

Then y=2x

Number 3

Let d represent Diana's race and let c represent Calorine's race

Diana = 3 x Calorine

d=3c

find the percent notation for 0.376

Answers

To convert a decimal into a percentage we have to multiply the decimal by 100, as follows:

[tex]0.376\cdot100=37.6\text{ \%}[/tex]

0.376​ is equivalent to 37.6 %

Consider the following graph. Explain why it is possible to find an Euler circuit for this graph. Then, using Fleury's algorithm, identify and draw an Euler circuit starting with point A and choosing the first edge as A to F. Show all work using the required method. Draw the graph properly. (If you choose not to draw on my graph, then draw a LARGE graph on your paper.)

Answers

The Euler circuit for the graph using Fleury's algorithm is attached below.

The following steps are to be used to form the circuit.

Of the three edges coming from vertex "2" should I choose? We avoid choosing the edge "2-3" because it is a bridge and we cannot return to "3".

Any of the two remaining edges is ours to choose. Let's say we choose "2-0." By eliminating this edge, we can travel to vertex "0."

We pick the one edge from vertex "0" that is present, remove it, and then move to vertex "1." The Euler tour changes to "2-0 0-1."

We take the lone edge from vertex "1," delete it, and then move to vertex "2." The Euler tour is now "2-0 0-1 1-2."

Once more, vertex 2 has just one edge, so we pick it, remove it, and continue on to vertex 3.

Hence we get the required circuit.

The term "Eulerian graph" has two different meanings in graph theory. One interpretation applies to a graph with an Eulerian circuit, whereas the other applies to a graph where each vertex has an even degree. These definitions apply to linked graphs.

To learn more about Euler circuit visit:

https://brainly.com/question/22089241

#SPJ9

Other Questions
Find the area of the figure. zyd 13 / yd The area of the figure is yd? 1. How many total engineers liked science 2. Which type of engineer was surveyed the most 3. P(mechanical engineer)4. P(engineer who liked math)5. P(engineer who liked science or is a chemical engineer)6. P(electrical or chemical engineer)7. P(mechanical engineer who liked science)8. P(engineer who liked math and is an electrical engineer)Answer the following problems about two way frequency tables fill in the missing cells of each table make sure to reduce your fraction. Which line is parallel to this one: y=2/3x-9A.y=3/2x+8B.y=2/3x-9C.y=2/3x-1D.y=-3/2x+7 Graph the function h(x)=. I have a picture of the problem Find a_1 for the geometric sequence with the given terms. a_3 = 54 and a_5 = 486 the school cafeteria orders for cartons of regular milk for every three cartons of chocolate milk a. complete the bar diagram to show the ratio b. the school ordered 120 cartons of regular milk. Divide 120 cartons of regular milk by underscore_because there are__boxes in the top row c.write the value of each box in both rows of the bar diagram d.how many cartons of chocolate milk did the school order? Hi. I think I am over thinking this question. Can you show me how this works step by step? Makayla was scuba diving. She started at at-80 5/9 meters below the surface. She then swam up 20 2/9 meters from her storting location for a break. Alwhat location did she stop for her break compared to sea level? Consider models of cell reproduction. Evaluate the statements and select ALL that are NOT supported by the models. For which value of x does p(x)=-4 in the graph below Graph J(2,-1), K(4,-5), and L(3,1) and reflect across the x=-1. Please draw the line of reflection. B. The perimeter of this rectangle is 20 centimeters. What is the value of X Consider the equation below.x3 3x2 4 = 1/x-1+ 5The solutions to the equation are approximately x=and x= QuestionFind the equation of the line with slope -2 which goes through the point (7, -1).Give your answer in slope-intercept form y = mx +b.Provide your answer below: Write the slope-intercept form of the equation of the line describedthrough: (-5, 4), perp. to y=3/4x+4 Should the constitution be changed How to find slope & y interceptAnd solve for Y-6x+2y=10 The point (-2, 1) is translated 3 units down and 2 units to the left. What are the coordinates of the newpoint?Use the grid below if it helps.-65-43-214-4-3-2-1130-1--2-3-4-5-6(2,-4)o(-4,-2)(0, -4)(0,4) Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = -2(x + 1)2 + 2 Demetrius is single but would like to take care of his mother in the event of his death. He would like to replace her income of $25,000 a year with a multiple of 30. How much life insurance should he buy?