A linear function can be modeled using the equation 2x-y=2.

What is the Zero of this function

Answer:

7

Step-by-step explanation:

-8(7+2)<-56

-56-16<-56

-72<56

-72 is less than -56

The required solutions are as follows,
(a) Vertex, domain, and range of the given function is (0,3), the domain is all real numbers and the range is all real value greater than +3 respectively.

(b) The trasformation shifts the f(x) two units below and vertex and range are (0, -2) and all real values greater and equal to -2 respectively.

here,
(A)

f(x) = |x - 3|

put x= 0
f(x) = 3
So the vertex is (0, 3)
Absolute functions has a domain of all real numbers, while the range of the given function is from positive 3 to infinity because the minimum value of the function is 3.

Similarly

(b)

f(x) = |x|

Vertex = (0, 0)
For the trasformation,
f(x) =  |x|-2

Vertex = {0, -2}
Range = f(x) > -2

Thus, The required solutions are as mentioned above,

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Answer:

4

Step-by-step explanation:

Point 1: (-2, 0)

Point 2: (3, 4)

(4-0) ÷ (3-2) = 4 ÷ 1 = 4

we have the system

8x-4y=-12 -----> equation A

8x+y=-17 -----> y=-17-8x -----> equation B

substitute equation B in equation A

8x-4(-17-8x)=-12

solve for x

8x+68+32x=-12

40x=-12-68

40x=-80

x=-2

Find the value of y

y=-17-8(-2)

y=-17+16

y=-1

8x+5y=-17 -----> equation B

isolate the variable y in equation B (or equation A)

5y=-17-8x

y=-(17/5)-(8/5)x

substitute in equation A

8x-4[-(17/5)-(8/5)x ]=-12

solve for x

To be able to determine how long the race that Amanda took, let's multiply the circumference of Amanda's bicycle wheel by 50 times since it turns 50 times during the course of the race.

The formula of the circumference of a circle is,

Where,

pi = 3.14

d = diameter = 0.30 m

Let's determine the Circumference of Amanda's bicycle wheel,

Let's now determine how long the race is,

Therefore, the bicycle race that Amanda took is 47.10 m long.

A tile pattern is represented by the equation "y = 6x + 4".



A) what does the six represent in the pattern

B) what does the four represent in the pattern

C) how many times will there be in the 75th figure.​

_______________________

if x represents the figure number and y represents the number of tiles.

A) what does the six represent in the pattern

The six represent

B) what does the four represent in the pattern

C) how many times will there be in the 75th figure.​

Given: The weights of Water melon displayed using a histogram as shown in the figure

To Determine: The weight of the fourth bin

From the histogram, it can be seen that the x-axis represents the weight of the watermelons, while the y-axis represents the quantity

It can observed that the fourth been has 4 watermelons as shown below:

From the above, 4 watermelons marked with red circle on the y-axis, and their weights marked red on the x-axis

Hence, the weight of 4 watermelons is at least 12pounds but no more than 16pounds, the second option

Step-by-step explanation:

What is the slope of the line passing through the points (0, - 5) and (4, 2)?

slope = change in rise/change in run

OR:

slope = change in y/change in x

your point format is: (x , y)

SO:

slope = (-5 - 2) / (0 - 4)

slope = -7/-4

slope = 7/4

Answer:

[tex]\sf \dfrac{7}{4}[/tex]

Step-by-step explanation:

       (0 , -5)  ⇒ x₁ = 0 & y₁ = -5

       ( 4 ,2)   ⇒ x₂ = 4  & y₂ = 2

[tex]\sf \boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}\\\\[/tex]

           [tex]\sf = \dfrac{2-[-5]}{4-0}\\\\\\\=\dfrac{2+5}{4}\\\\\\=\dfrac{7}{4}[/tex]

Answer:

4+(-11)

Step-by-step explanation:

you need to put the negative 11 in ()

In this scenario, we are considering if-then statements. Looking at the given statement,

p = angle A is an obtuse angle

q = the measure of angle A = 75 degrees

A statement of if q, then p would be

q - p

where - is an arrow pointing to the right

Looking at the picture, the symbol before p represents negation. It tells us that

if q, then not p. By translation, the correct answer would be

If the measure of angle A = 75 degrees, then angle A is not an obtuse angle

Answer:

12x5-3a sishanaauanshsushss

Step-by-step explanation:

zhsuzjskakakagshs

Answer:

x=15

Step-by-step explanation:

A biscetor is a line that curs another one exactrly at its midpoint. If the diagonals of the paallelogram bisect each other, this means that both cut the other in exact halves.

For example

For the square ABCD, its diagonals BD and AC cut each other in point M.

M is their midpoint, which means that the haves of each diagonal are the same:

For diagonal AC you get that AM=MC

For diagonal BD you get that BM=MD

This means that the diagonals bisect each other and have the same midpoint M

Answer:

D. 640 students

Step-by-step explanation:

hope this helps

Answer:

1060

Step-by-step explanation:

I am assuming the factors method is the distributive property:

We can break 53x20 into 50x20+3x20

50x20=1000 and 3x20 is 60

1000+60=1060

Please give me brainiest.

The given statement is

As you can observe, the observe, we made a substitution. However, the exact property used here is the transitive property of equalities, that's the property responsible for the substitution in mathematics.

The equation will be 4x = 3 and the fraction of the butter stick that each friend will use is x = 3/4.

So, the equation will be:

Then, the equation is:

3 sticks equally shared by 4 friends:

Therefore, the equation will be 4x = 3 and the fraction of the butter stick that each friend will use is x = 3/4.

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we have the equation

Solve for x

Applying log on both sides

Answer: 2.5, 5.4

Step-by-step explanation:

[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]

1. The table of values showing the amount Kevin owes his friend after t weeks is as follows:

Week    Amount Owed

0               $90

 1               $85

2               $80

3               $75

4               $70

...

18              $0 ($5 - $5)

2. The equation representing the amount (L) Kelvin owes his friend after t weeks is L = 90 - 5t.

An equation is a mathematical statement showing that two mathematical expressions using the equation symbol (=) are equal or equivalent.

Equations establish the numerical relationship existing between two or more mathematical expressions, numbers, values, or variables.

Week    Amount Owed

0               $90

 1               $85 ($90 - $5)

2               $80 ($85 - $5)

3               $75 ($80 - $5)

4               $70 ($75 - $5)

The total amount borrowed = $90

The amount of repayment = $5

The repayment period = weekly

Let the balance after t weeks of payment = L

L = 90 - 5t

In eighteen weeks, Kevin will complete the repayment of the loan.

Check:

If t = 18

L = 90 - 5t

L = 90 - 5(18)

L = 90 - 90

L = 0

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7,9,11,13,15

First, find the common difference (d)

9-7 = 11-9 = 13-11 = 15-13 = 2

d= 11

a1 = first term = 7

apply the formula:

an = a1 + (n-1) d

an = 7 + (n-1) 2

an = 7 + 2n-2

an = 2n + 5

Answer: 19

Step-by-step explanation:

[tex]49-6(5)=19[/tex]

Answer:

19

Step-by-step explanation:

a=49,b=5

a-6b

we will just substitute for the values

=49 – 6(5)

= 49 – 30

= 19

The plane EFG  in the rectangular prism is parallel to plane ABC.

In this question, we have been given the rectangular prism ABCDEFGH

We need to find the plane which is parallel to plane ABC.

We can observe that in given rectangular prism,

plane ABH is parallel to the plane CDF

plane BCE is parallel to the plane AGF

plane EFG is parallel to plane ABC.

Therefore, the plane EFG  in the rectangular prism is parallel to plane ABC.

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The diagram given is a sector, and from the diagram

Radius(r) = 9 in

The new account balance of Clare is calculated as $127.38 by using the given data.

A mathematical operation is a mathematical action. A mathematical operation includes addition, subtraction, multiplication, division, and computing the root.

In math, a word problem is a question expressed in one or more sentences that asks learners to apply their arithmetic skills to a'real-life' scenario. This implies that in order to understand the word problem, students must be conversant with the terminology linked with the mathematical symbols to which they are used.

Given:

Clare has a savings account balance of $102.38. She uses the ATM to deposit three cheques she received for her birthday. Each check was made out for $15.00. She then takes out $20 in cash.

Amount in her savings account = 102.38

Amount after depositing 3 checks = 102.38 + 3(15)

                                                         = 147.38

Amount after withdrawing $20 in cash = 147.38 - 20

                                                                = 127.38

Therefore, the new account balance of Clare is calculated as $127.38 by using the given data.

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In a rectangle of area 50 the value of x is 5

Area of a rectangle is given by multiplication of the length and the width

Area was given as 50

length = x + 10

width = x

Area = L * w

50 = (x + 10) * x

50 = x^2 + 10x

rearranging the equation

x^2 + 10x - 50

factorizing gives

x - 5x + 10x - 50

x(x- 5) + 10(x - 5)

(x - 5)(x + 10)

therefore

x = 5 or x = -10

taking the positive value

x = 5

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Question

The area of a rectangle is 50 the length is x+10 and the width is x

solve for x.

Answer:

x=223.96

Step-by-step explanation:

Answer as a decimal: x=223.96

Answer as a fraction: x= 223  24/25

Let's solve this equation step-by-step!

5(x−225)=−5.2

Step 1: Simplify both sides of the equation.

5(x−225)=−5.2

(5)(x)+(5)(−225)=−5.2 (Distribute)

5x+−1125=−5.2

5x−1125=−5.2

Step 2: Add 1125 to both sides.

5x−1125+1125=−5.2+1125

5x=1119.8

Step 3: Divide both sides by 5.

5x/5=1119.8/5

x=223.96

Equation of a line in slope-intercept form:

m is the slope

b is the y-intercept

As you have the slope (m= -4) and a point (6,1) you use it in the equation above to find the y-intercept, as follow:

(6,1) x=6 y=1

m= -4

Solve b:

There are 714 third-graders.

A ratio is a way to show a relationship or compare two numbers of the same kind.

Given that, the ratio of second-graders to third-graders at the spelling bee was 2 to 7 and there are 204 second-graders

Let the number of  third-graders be x, then,

2/7 = 204/x

x = 714

Hence, There are 714 third-graders.

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The speed of the plane in still air is 87 kilometers, and the speed of the wind is 87 kilometers.

A plane traveled 1160 kilometers to Havana and back.

The trip there was with the wind. It took 10 hours.

The trip back was into the wind. The trip back took 20 hours.

What is speed, distance, and time?

The formula speed distance time is used to explain the relationship between speed, distance, and time. That is speed = time/distance. To put it another way, distance divided by speed equals time. You can figure out the third input if you know the first two.

Consider,

s = plane speed in still air

w = speed of the wind

then

(s+w) = ground speed with the wind

and

(s-w) = ground speed against the wind:

A dist equation for each way (dist = speed * time)

10(s+w) = 1160

20(s-w) = 1160

Simplify divide the 1st equation by 13, and the 2nd equation by 26, and you have:

s + w = 116

s - w = 58

Using adding s & eliminates w,

2s = 174

s = 174/2

s = 87 km plane speed in still air

The wind speed

87 + w = 96

w = 9 km is the wind speed

Hence, the speed of the plane in still air is 87 kilometers, and the speed of the wind is 87 kilometers.

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The slope of the tangent line at the point x = a of the function f(x) is f'(a).

We are given the function:

Computing the first derivative:

The slope of the tangent line at (1, 1), that is, where x = 1 is:

The tangent line and the normal line are perpendicular to each other. If their respective slopes are m1 and m2, then:

We have calculated m1 = -1, calculate m2:

Now we know the slope of the normal line. We need to find its equation. Use the point-slope formula:

y - k = m(x - h)

Where m is the known slope and (h, k) is a point of the line. We are given the point (1, 1), thus:

y - 1 = 1(x - 1) = x - 1

Adding 1:

y = x

Answer: D. x