In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7

Answers

Answer 1
Because f(x)=x^2 is the parent function of a quadratic, it has one x-intercept at (0,0), no shifts up or down. But because g(x)=(x+2)^2-7 is a quadratic being shifted 2 units to the left and most importantly 7 units down, the function will cross the x-intercept 2 times.

I hope this is the answer you were looking for!

Related Questions

Without dividing,
how can you tell if the quotient for
5,873 = 8 is greater than 700? Explain
whether the quotient is less than 800.

Answers

Answer:

The quotient is between 700 and 800

Step-by-step explanation:

Prove by multiplication

700*8 = 5600 < 5873

Similarly

800*8 = 6400 > 5873

So the expression is 5873/8

Now

We can prove the given statement to multiplication

Multiply with 8

700×85600

And

800×86400

Yes

We see 5873 lies between 5600 and 6400 hence the quotient is greater than 700 but less than 800

-77x - 78x = -155x

-66y - (-66y) = -66y + 66y = 0

264 - (-666) = 264 + 666 = 930

This leaves us with -155x = 930. Dividing by -155 on both sides, we find:

x = -6

Substitute x = -6 into one of the two original equations, solve for y, and then state the full solution to the system of equations.

Answers

Answer:

I don't understand

Step-by-step explanation:

You answer it.

What can be divided into 6 and 4 without leaving a remainder?

Answers

Answer:

6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.

A natural number that has at least one factor other than 1 and itself.

Hope it helps!!!Brainliest pls!!!

1. If Frank has 2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin does he have?
d=
q=
2. If Sam has 3 times as many dimes as quarters and they have a combined value of 330 cents, how many of each coin does he have?
d=
q=

Answers

Leftmostcomet can u help me I posted a math question d

Solve the equation X=

Answers

Step-by-step explanation:

I think the answer is x=70

Adding and subtracting I need it right now the answer

Answers

Answer:

Just give me the questions and ill do it

Step-by-step explanation:

Help picture below please

Answers

Answer:

tkm

Step-by-step explanation:

First T the middle k and at last m

please help, have to turn in in 30 mins

Answers

Please attach some form of question first, thank you!

Factor 2x2 + 7x + 10x + 35 by grouping.

Answers

Answer:

(x+5)(2x+7)

Step-by-step explanation:

x(2x+7) + 5(2x+7)

(x+5)(2x+7)

I hope this helps!!

a right triangle with a long leg (x+7) and a short leg with (x) and the hypothenuse is 13

Answers

Answer:

Area is 30cm^2 if thats what your asking

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

You need to use the Pythagorean theory to solve this question.

[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]

[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]

[tex]169 = 2 {x}^{2} + 14x + 49[/tex]

[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]

[tex]0 = 2 {x}^{2} + 14x - 120[/tex]

Now simply the equation by dividing everything by 2.

[tex]0 = {x}^{2} + 7x - 60[/tex]

[tex]0 = (x - 5)(x + 12)[/tex]

Now, you can find the possible solutions by setting each bracket to 0.

[tex]0 = x - 5[/tex]

[tex]5 = x[/tex]

OR

[tex]0 = x + 12[/tex]

[tex] - 12 = x[/tex]

However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.

Will mark YOU brainliest!!
Express the following phrase as a unit rate:
135 miles on 9 gallons of gas

Answers

Answer: 15 miles per gallon

Step-by-step explanation:

135 divided by 9

15 miles per gallon

rate:

[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]

[tex]\rightarrow \dfrac{135}{9}[/tex]

[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]

A cuple travels 420 miles to dr0p their dughter off at summer camp. The trip back has a short cut and is only 360 miles. And the gas mileage is 50% better
due to a lighter load. Write an expression for the total gas used and simplify.

Answers

The expression for the simplified total gas used is 1.43x.

How to write the expression of the total gas

let the gas used on the way to camp "x"

Then the gas used on the way back can be calculated as follows:

360 / 420 × 0.5 × x

To calculate the total fuel used, We need to add this to the 'x' used on the way.

Therefore,

total gas used = x + 360 / 420 × 0.5 × x = x + 0.43x = 1.43x

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has parallel sides but is not a trapezoid ​

Answers

Answer:

Parallelogram

Step-by-step explanation:

Instead of one pair of parallel sides like in a trapezoid, a parallelogram has two pairs of opposite sides (for example a rectangle)

Leslie’s puppy has 4 toys. Her cat has 36 toys.How many times more toys does the cat have than the puppy?
A.6
B.7
C8
D.9

Answers

D im pretty sure because 4x9=36

11. Angles 1 and 2 are supplementary. Angle 2 is 1/3 the size of angle 1. What
are the degree measurements of each angle?
⚫️67.50 and 22.5°
⚫️22.5° and 90°
⚫️60 and 120°
⚫️135° and 45°

Answers

Answer:

90 for choice 1, 112.5 is for choice 2, 180 for choice 3, and 180 for choice 4.

Step-by-step explanation:

67.50 and 22.5 is a complementary angle because it adds up to 90 degrees.

22.5 and 90 added is 112.5 which is an obtuse angle

60 and 120 added is a supplementary angle because 60 + 120 is 180

135 and 45 is also a supplementary angle because 135+45 = 180

Find x in circle O (The figure is not drawn to scale)​

Answers

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

how many 5 seater taxis do you need for78 people

Answers

Step-by-step explanation:

Answer: 78 /5 = 15.6 = 16 taxis. Step-by-step explanation: I HOPE THIS WILL HELP YOU AND MARK IT AS BRAINLIEST ANSWER PLEASE.

This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.


What is the surface area of the image after the dilation?



185 5/8 m²


219 3/8 m²


247 1/2 m²


292 1/2 m²

Answers

The surface area of the image after the dilation is 219 3/8 m²

What is an area?

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

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The statement "7 is 21 less than 28" is interpreted 7 = 21 - 28.​

Answers

it's interpreted as 28 - 21 = 7

Simplify (cosx)(tanx)(cscx)

Answers

[tex]❖\qquad\qquad\huge\underline{{\sf Answer}} \qquad \normalsize❖[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \cos(x) \times \tan(x) \times \csc(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cancel{ \cos(x) }\times \dfrac{ \cancel{ \sin(x)} }{ \cancel{ \cos(x) }} \times \dfrac{1}{ \cancel{\sin(x)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:1[/tex]

The equivalent value is 1

[tex] \rm \int_{0}^{ \pi } \cos( \cot(x) - \tan(x)) \: dx \\ [/tex]​

Answers

Replace x with π/2 - x to get the equivalent integral

[tex]\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx[/tex]

but the integrand is even, so this is really just

[tex]\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx[/tex]

Substitute x = 1/2 arccot(u/2), which transforms the integral to

[tex]\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du[/tex]

There are lots of ways to compute this. What I did was to consider the complex contour integral

[tex]\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz[/tex]

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

[tex]\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}[/tex]

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

[tex]\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}[/tex]

and it follows that

[tex]\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}[/tex]

Which number is a common multiple of 2 and 4?

A) 14

B) 24

C) 26

D) 34

LAST QUESTION MORE POINTS!

Answers

Answer:

Step-by-step explanation:

c I think I did the math that’s what it leads to so yeah

The volume of this right trapezoidal prism is 464.75 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

Answers

Answer:

so first you want to mulitply the 5,5,5.8, and 8 together to get 1160 then take away 464 from 1160 to get 696. then you add all of the numbers up to get 719.8 ten subtract .75 from that and you get 719.05. then take the cubic feet and get 200 then taky away 200 from 719.05 and get 519.05 then do that again

Step-by-step explanation:

219.05

URGENT I NEED IT NOW PLEASE HELP ME!!!!

Answers

The fourth one because they at minimum need that amount not the most. The answer is option 4 or the last option

How do I solve for y?

Answers

Answer:

Step-by-step explanation:

The angle containing y and 63 are vertically opposite. They are equal.

y + 23 = 63                   Subtract 23 from both sides

y +23-23 = 63 - 23

Answer y = 40

Data Analysis 7th grade math
Laura kept a record of the number of minutes she spent at the gym this week.

Day Minutes
Monday 60
Tuesday 70
Wednesday 62
Thursday ?

How many minutes should she spend at the gym on Thursday in order to average 65 minutes a day for four days.

________ Minutes

Answers

You would add 60+70+62=192, then you would need to figure for x. You would take 65 and multiply it by 4. I got to make it average, 78.

she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

What is Average?

The mean (also known as the arithmetic mean, which varies from the geometric mean) of a dataset is calculated as the sum of all values divided by the total number of values. This measure of central tendency is usually referred to as the "average".

Granted, Laura recorded how long she spent at the gym each day this week.

Let "x" represent the time she spent working out on Thursday.

Since,

Average = (sum of values)/ count of values

Thus, in our case

Average = (60 +70 +62 +x)/4

average is 65 minutes a day for four days.

65 = 192 +x)/4

192 +x = 260

x = 260-192

x = 68

Therefore, she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

Learn more about Average here:

https://brainly.com/question/521501

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what decimal part of one dollar is two dimes

Answers

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

8) Evaluate this expression.

7.4 - (-3.7)

A) -3.7

B) 8.4

C) 11.1

D) 13.21

Answers

Answer:

C) 11.1

Step-by-step explanation:

7.4 -(-3.7)

- and - make +

7.4 + 3.7 = 11.1

Need help with this geometric question ASAP, Thank you

Answers

It would be an isosceles triangle. Consider both sides are equal the angles would have to be equal, creating an isosceles triangle.

Write this ratio as a fraction in simplest form without any units six weeks to 18 days

Answers

Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

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