Let g (x) = 5x^2 + 3x and r (x) = 2x^2 + 6x - 13. Find g (x) - r (x)

-3x^2 - 3x + 13

-3x^2 + 3x + 13

-3x^2 + 3x - 13

-3x^2 - 3x - 13

Answer:

B.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because if you see the x-intercept you will see function with zeros of -2, -1 and 2

Answer:

50

Step-by-step explanation:

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question, 51 samples, hence, [tex]n = 51[/tex]

Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:

[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].

A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

Step-by-step explanation:

as we know, 1 exterior angle is equal to 2 interior angle

therefore let angle u be x.

now,

→ 65° + x = 105

→ x = 105 - 65 = 40°

therefore

TUS = 40°

and to know measure of angle TSU apply angle sum property of triangle in ∆TUS

so,

65 + 40 + TSU = 180

105 + TSU = 180

TSU = 180 - 105 = 75°

therefore,

TSU = 75°

hope this answer helps you dear! take care

Answer:

x=-2

Step-by-step explanation:

4(2x – 8) = 8(4x + 2)

Distribute

8x -32 = 32x+16

Subtract 8x from each side

8x-32 -8x = 32x+16-8x

-32 = 24x+16

Subtract 16 from each side

-32-16 = 24x+16-16

-48 = 24x

Divide by 24

-48/24 = 24x/24

-2 =x

Answer:

w=288

Step-by-step explanation:

-36=-w/8

-36•8=-w

-288=-w

w=288

Step-by-step explanation:

I'm assuming your solving for [tex]x[/tex]

Picture 2.

For this one since the two sides are equal

[tex]2x-12=12\\2x=24\\x=12[/tex]

Picture 4.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]

[tex]x=5[/tex]

Picture 6.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]

[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]

Picture 8.

[tex]EG=6[/tex]

Since half of [tex]EG[/tex] is [tex]3[/tex]

[tex]3\cdot2=6[/tex]

[tex]EG=6[/tex]

Brainliest, please :)

Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]

[tex]\\ \sf\longmapsto 0.08(478000)[/tex]

[tex]\\ \sf\longmapsto 38240\$[/tex]

Current value:-

[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]

Answer:

y=150x+50

y=200+150x

Step-by-step explanation:

y=150x+50

y=200+150x

Answer:

[tex](-3,4)[/tex]

Reasoning:

This problem is telling you that if y equal 4, what does x equal?

You can easily insert the y value to find the constant x.

[tex]4=-3x-5[/tex]

[tex]9=-3x[/tex]

[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]

[tex]-3=x[/tex]

Answer:

48 & 24

Step-by-step explanation:

6×8 and 8×6 will get you 48

6×4 and 8×3 will get you 24

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

Answer:

15.62500

Step-by-step explanation:

Answer:

62.5 62 1/2

Step-by-step explanation:

You need to convert the decimal into a fraction

which is 25/2 then make the bottom into the same

5/4 is good because it is 4 so change the 25/2 into a 4.

So you have to do 25x 2 and 2x2 equal to  50/4

then do it like normal

50/4 x 5/4=  250/4 62.5

(50 x 5 and 4x4

Hope that helps!

Go shop at Quelenasboutique on esty

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Answer

How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.

Step-by-step explanation:

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality

Answer:

A. 4/11

B. 2/11

Step-by-step explanation:

Use the given values to find the fractions (4+5+2=11)

Answer:

look at the picture ..........

Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.

Step-by-step explanation:1

It is 3: the partitions of 5 into ≤2 parts.

Step-by-step explanation:

Answer is in above picture

Answer:

XXXII

Step-by-step explanation:

The number 30 as a roman is XXX and the number 2 as a roman is ll. So the answer is XXXII

- Your welcome ;)

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

Answer:

From the information given, it is found that the value of the test statistic is z = -11.97.

At the null hypothesis, it is tested if the proportion is of at least 95%, that is:

At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:

The test statistic is given by:

In which:

is the sample proportion.

p is the value tested at the null hypothesis.

n is the sample size.

In this problem, we have that the parameters are:

.

Thus, the value of the test statistic is:

The value of the test statistic is z = -11.97.

Step-by-step explanation:

hope it helps

please mark brainliest