List each real zero of f according to the behavior of the graph at the x-axis near that zero. Zero(s) where the graph crosses the x-axis:Zero(s) where the graph touches, but does not cross the x-axis:

List Each Real Zero Of F According To The Behavior Of The Graph At The X-axis Near That Zero. Zero(s)

Answers

Answer 1

In the graph, there are 2 zeros, one for each type.

The zero where the graph crosses the x axis is 1. When x=1, the function intercepts the x axis and crosses it.

The zero where the graph touches but does not cross the x axis is -1. When x=-1, the function touches x axis but goes back to the quadrant.


Related Questions

write the equation of the line in point slope form then rewrite the equation intercept form

Answers

We are given the slope m=-1 and the point (0,-2)

The point-slope form of the line is:

y - k = m(x - h)

Substituting:

y - (-2) = -1(x - 0)

Operating:

y +2 = -1(x - 0)

This was the point-slope form of the line

Rewriting in slope-intercept forn:

y +2 = -x

Subtracting 2:

y = -x - 2

That is the slope-intercept form of the line

Pls make sure u explain how u did part A no big words thank u

Answers

We need to calculate the following quotient:

[tex]\frac{8n^6-16n^4}{4n^3}[/tex]

We know that:

[tex]\begin{gathered} 8n^6=4n^3\cdot2n^3 \\ 16n^4=4n^3\cdot4n \end{gathered}[/tex]

Then:

[tex]\frac{8n^6-16n^4}{4n^3}=\frac{4n^3\cdot2n^3-4n^3\cdot4n}{4n^3}[/tex]

Using the distributive property of multiplication, we factor the 4n³ term of the numerator:

[tex]\begin{gathered} \Rightarrow\frac{4n^3\cdot2n^3-4n^3\cdot4n}{4n^3}=\frac{4n^3(2n^3-4n)}{4n^3} \\ \therefore\frac{8n^6-16n^4}{4n^3}=2n^3-4n \end{gathered}[/tex]

Solve the equation graphically and check the solution. 2x+5y=0. X+6y=14

Answers

Given:

The system of equations is,

[tex]\begin{gathered} 2x+5y=0 \\ x+6y=14 \end{gathered}[/tex]

First, find the points on both lines to draw the graph of the line.

Then find the point of intersection of the line.

[tex]\begin{gathered} 2x+5y=0 \\ x=0\Rightarrow y=0 \\ x=5\Rightarrow y=-2 \\ x=-10\Rightarrow y=4 \end{gathered}[/tex]

And,

[tex]\begin{gathered} x+6y=14 \\ x=0\Rightarrow y=\frac{7}{3} \\ x=14\Rightarrow y=0 \\ x=-10\Rightarrow y=4 \end{gathered}[/tex]

The graph is,

As the point of intersection is (-10,4).

The solution of the given system of equation is x = -10 and y =4

Help find the unit prices while rounding to the nearest cent.

Answers

It is clear that brand A has the lower unit price hence it is the better buy.

Which is the better buy?

We know that the better buy has to do with the commodity that would give us the least unit price for the item. Hence we must have to look at the unit price of each of the items before we decide the better buy. The unit price is the price of only one spoon.

In the first case;

Unit price = $2.17/42 = $0.05

In the second case;

Unit price = $3.97/48

= $0.08

The brand that has a higher unit price here is Brand B.

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The Study Hall Tutoring Company charges a fixed fee of $10 for coming to your house, then charges a fixed amount of $40 per hour on top of this. Which of the followinganalytical models illustrates this situation?

Answers

It is given that the company charges a fixed fee of $10 on comiing to home and then the additional charges are $40 per hour.

Let x be the number of hours and y be the total charges

then the linear equation will be:-

y=40x+10

So the correct option is the last one y = 40x+10

find the sum of the first 46 terms of the following series to the nearest integer 12,15,18

Answers

[tex]S_{46\text{ }}\text{ = 3657}[/tex]

Here, we want to find the sum of the first 46 terms of the series

Here, what we have is a series with a first term of 12 and a common difference of 15-12=18-15 = 3

Before we proceed to get the sum of the first 46 terms, we can calculate the last term

The last term is given as;

[tex]\begin{gathered} a_n\text{ = a + (n-1)d} \\ \\ a_{46}\text{ = 12 + (46-1)3} \\ \\ a_{46}\text{ = 12 + 45(3)} \\ \\ a_{46}\text{ = 12 + 135 = 147} \end{gathered}[/tex]

Now, we can apply the formula to get the sum

The formula is given as;

[tex]\begin{gathered} Sn\text{ = }\frac{n}{2}\text{ (a + l)} \\ \\ S_{46}\text{ = }\frac{46}{2}(12\text{ + 147)} \\ \\ S_{46}\text{ = 23(159)} \\ \\ S_{46}\text{ = 23 }\times\text{ 159 = 3657} \\ \text{Where the last term is given as l above} \end{gathered}[/tex]

Which of the following equations correctly describes the graphed line?y = -1/2x - 5y = -1/2x + 5y = 1/2x + 5y = 1/2x - 5

Answers

We can see in the graph that the y-intercept is equal to +5. According to that, the correct options could be second and third options.

The line has a positive slope and the third option has a positive slope (1/2), therefore, this is the correct answer. (Since the second option has a negative slope (-1/2)).

The answer is y= 1/2x + 5

Solve for y: y + 10 = -15

Answers

According to the given data we have the following equation:

y + 10 = -15​

To solve the variable y of the equation above we would make the following:

y + 10 = -15​

We would move the number 10 to the other side, so it would change its sign.

y=-15-10

Finally add the numbers So:

y=-25

The result of the y would be -25

-25

y + 10=-15

y=-15-10

y=-25

A farmer gets 24.5 L of milk from each of his cows per day.He milks all five cows and pours the milk equally into 0.5-L bottles. How many 0.5-L bottles can he fill?​

Answers

There are 245 bottles to fill the milk.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A farmer gets 24.5 L of milk from each of his cows per day.

And, He milks all five cows and pours the milk equally into 0.5-L bottles.

Now,

Since, A farmer gets 24.5 L of milk from each of his cows per day.

And, He milks all five cows.

So, The total amount of milk = 24.5 x 5 L

                                            = 122.5 L

Since, He pours the milk equally into 0.5-L bottles.

So, The number of bottles = 122.5 L ÷ 0.5 L

                                         = 245

Thus, There are 245 bottles to fill the milk.

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you have p fewer pizza than sam who has 15 slices. what expression shows how many slices of pizza you have?

Answers

[tex]y=15-p[/tex]

where y are my slices of pizza

12. A number is decreased by 50%, and the resulting number is then increased by 300%. The original number is what percentage of the final number? F. 20% G. 25% H. 40% J. 50% K. 400% Sprance Ticket Learning Targets Percent Increase Percent Deco 7

Answers

50% means 50/100 = 0.5

300% means 300/100 = 3

Now,

A number, let it be "100" (you can take any number, the answer would be the same).

It is decreased by 50%, so

100 - (0.5)(100) = 50

Then, it is increased by 300%, so

50 + 3(50) = 200

So, we started off with 100 and now we're at 200.

The questions asks ORIGINAL is what percent of FINAL.

So, original was 100 and final is 200, essentially:

100 is what percent of 200??

100/200 = 0.5

In percentage,

0.5 * 100 = 50 %

J is the correct choice.

Solve for m 18 = -6m

Answers

we have the expression

18 = -6m​

solve for m

that means

isolate the variable m

so

Divide both sides by -6

18/-6=-6m/-6

simplify

-3=m

Rewrite

m=-3

How to solve mixed applications.Last month 1/10 of the tshirts sold were size extra large and 1/8 were extra small. Were more extra large or extra small t shirts sold last month?

Answers

We have the next information:

1/10 of the T-shirts sold were size extra

1/8 were extra small

Now, we need to find which fraction represents a higher number.

Convert to decimal each fraction:

[tex]\frac{1}{10}=0.1[/tex]

and

[tex]\frac{1}{8}=0.125[/tex]

Hence, 1/8 is greater than 1/10. So, more extra small tshirts were sold.

4. Mr. Wisharts rectangular garden has a width of 4 meters and an area of 20 square meters. a. Solve for the length of the garden. 온 Length

Answers

Area of a rectangle: length*width

Replacing with Area = 20 and width = 4:

20 = lenth*4

4 is multiplying on the right, then it will divide on the left

20/4 = length

5 meters = length

find the area of a circle if the diameter is 40 meters

Answers

Area of a circle = pie x r x r

where pie = 3.14, r = radius

r = 40m/2 = 20 meters

[tex]\begin{gathered} \text{Area of the circle = 3.14 x 20 x 20} \\ =1256m^2 \end{gathered}[/tex]

6 of the people in Bob's family like dolphins and 6 like polar bears. 3 people like both dolphinsand polar bears. How many people like dolphins but not polar bears?

Answers

ANSWER

3

EXPLANATION

To answer this question we can make a Venn diagram. Each circle will represent the people who like dolphins and the people who like polar bears. We know that 3 people like both, so there are 3 people in the area shared by both circles. If 6 people like dolphins and 6 like polar bears, knowing that already 3 people are in the area shared by both circles, in the individual area of each circle there will be 3 people:

So, we can see that there are 3 people out of the 6 that like dolphins that also like polar bears.

Hence, there are 3 people that like dolphins but not polar bears.

State the coordinates of the image of point A(-5,2) after a R270

Answers

The formula for rotation 270° counterclockwise is: A(x,y) ---> A'(y,-x)

If the point is A(-5,2) then the answer would be: A'(2,-(-5)) = A'(2,5) after rotating 270° counterclockwise.

Solve y³ = 64.
O A. y = 64
OB. y = 16
OC. y = 4
OD. y = 8

Answers

Answer:y=4

Step-by-step explanation:

Answer: y= 4

Step-by-step explanation:

4 x 4 = 16

16 x 4 = 64

Select all intervals where h is increasing A:-5

Answers

Given the graph of the function y = h(x) as shown below

From the plot, it's observed that h increases at the interval as shown below

Thus, h is increasing at the intervals

[tex]-2 The correct option is B

Graph the equation Y =7x

Answers

step 1

we have the equation

y=7x

This is the equation of a line that passes through the origin (0,0)

To graph a line we need at least two points

so

assume any value of x and then calculate the value of y

For x=2

y=7(2)=14

the second point is (2,14)

step 2

Graph the line

Plot the points (0,0) and (2,14)

join them to graph the line

using a graphing tool

see the figure below

48% in simple fraction

Answers

To transform a percentage to a simple fraction we divide the number by a 100, then we have:

[tex]\frac{48}{100}=\frac{12}{25}[/tex]

Therefore 48% in simple fraction is equal to 12/25

48% in simple fraction is 12/25

First we start to convert 48% to a fraction.

48% = 48/100

Now we find the (GCF) or the greatest common factor of 48 and 100.

4 is the greatest common factor.

We divide the numbers by the greatest common factor to simplify the fraction to its’ simplest form.

(48/4) / (100/4) = 12/25


the variance for the given data 18,20,18,2,7

Answers

Solution

Given 18,20,18,2,7

The variance formula is given as;

[tex]undefined[/tex]

What is the Identity Property of multiplication?Select one:a. The product of 2 and any number is that number. b. The product of 1 and any number is that number.c. The product of 10 and any number is that number.

Answers

The Identity Property of multiplication is a property that states that there exist a number such that when you multiply it to second number, the product is still the second number.

The product of 1 and any number is that number.

The graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents the cost of food-delivery service?
A c=1/60w
B w=60c
C c=60w
D c=60
show ur work plsssssssssssssss
Picture:

Answers

The equation for a straight line can be found if its slope and coordinate of the point it passes through is given. The equation for the given graph is c = 60w. The correct answer is option C.

What is the equation for a straight line?

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The cost of food delivery is taken as c.

The number of weeks is w.

Since the graph given in the problem is a straight line, in order to find its equation its slope has to be found as follows,

From the graph, it is clear that at w = 2, c = 120.

Now, there are two points for the given straight line as (0, 0) and (2, 120).

Thus, the slope is given by (120 - 0) / (2 - 0) = 60

Then the equation for the straight line is,

(c - 0) / (w - 0) = 60

=> c = 60w

Hence, the equation of the given graph is c = 60w.

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Find the missing arc:



Arc BC =

Answers

Let the measure of arc [tex]BC[/tex] be [tex]\alpha[/tex].

[tex]\frac{70+\alpha}{2}=85 \\ \\ 70+\alpha=170 \\ \\ \alpha=\boxed{100^{\circ}}[/tex]

What is the scale factor of a pair of figures whose preimage has coordinates(2, 3), (3, 1), and (4,5), and whose image has coordinates (4, 6), (6, 2), and (8, 10)?

Answers

The scale factor is a factor that affects coordinate x and y of all the points in an image, using one of the points of th preimage and the image we can find the realtion between both

[tex](2,3)\rightarrow(4,6)[/tex]

if we analyse this the scale factor is 2, since both x and y coordinate are doubling the pre image.

Also if we analyse the other 2 points the same happens.

Answer:

The scale factor is a factor that affects coordinates x and y of all the points in an image; using one of the points of the preimage and the image, we can find the relation between both

If we analyze this, the scale factor is two since both the x and y coordinates are doubling the pre-image.

Also, if we analyze the other 2 points, the same happens.

Step-by-step explanation:

Given the equation f(t) = -16t^2+24tFind f(1) = ?

Answers

ANSWER

f(1) = 8

EXPLANATION

In this problem, we have to evaluate the function f(t) in t = 1. To do so, substitute t with 1 in the equation, and solve,

[tex]f(1)=-16\cdot1^2+24\cdot1=-16+24=8[/tex]

Hence, f(1) = 8.

A train at the local fair is 6 feet long. This is a 1;10 scale of a actual passenger train. You want to draw a mural that includes a 1:30 scale picture of the actual passenger train. Train at the fair scale 1:10 Length ft 6 Real passenger train scale 1:1. Length?? Mural of train Scale 1;30 Length?? Fair Train: Mural of Train =? :1

Answers

Too Fly For You, this is the solution:

• Race route in reality = 3 + 2 + 3 + 2 = 10 kilometers

,

• Race route ion poster = 8 inches * 20 = 160 inches

,

• 160 inches divided by 12 = 13.33 feet

Rounding to the next tenth of a feet = 13.3

For the function f(x) = x^2 + 4, identify the values of f(0), f(1/2), and f(-1).

Answers

Explanation:

The function is given below as

[tex]f(x)=x^2+4[/tex]

Find

[tex]\begin{gathered} f(0) \\ put\text{ }x=0 \\ f(0)=(0)^2+4 \\ f(0)=4 \end{gathered}[/tex][tex]\begin{gathered} f(\frac{1}{2}) \\ put\text{ }x=\frac{1}{2} \\ f(\frac{1}{2})=(\frac{1}{2})^2+4 \\ f(\frac{1}{2})=\frac{1}{4}+4 \\ f(\frac{1}{2})=\frac{17}{4} \end{gathered}[/tex][tex]\begin{gathered} f(-1) \\ put\text{ }x=-1 \\ f(-1)=(-1)^2+4 \\ f(-1)=1+4 \\ f(-1)=5 \end{gathered}[/tex]

Hence,

The final answer is

[tex]4,\frac{17}{4},5[/tex]

The FIRST OPTION is the correct answer

What is the value of x in the diagram below? Х 15 7 20 O 15 O 24 26 0 28

Answers

Explanation

the Pythagorean theorem states that for all rigth triangles:

[tex]a^2+b^2=c^2[/tex]

Step 1

so, we have two rigth triangles:

so,

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