A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball

Answer:

(g ∘ f)(2) =5

Step-by-step explanation:

f(x) = 3x − 2

g(x) = x + 1

(g ∘ f)(2).

Find f(2) = 3(2) -2 = 6-2 = 4

Then find g(4) = 4+1 = 5

[tex]\sf Your \: question \: is \: incomplete. \: [/tex]

______________________

[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹

[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]

[tex]\boxed{ \sf{Explanation}} [/tex]

[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]

Answer:

see explanation

Step-by-step explanation:

If b² - 4ac = 0

Then the roots are real and equal

Answer:

36

Step-by-step explanation:

Answer:

36 feet

Step-by-step explanation:

I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%

Answer:

so the answer is I don't know

Answer:  D) reflection across y = -x

Explanation:

When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).

When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]

So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).

Similarly, B(1,5) moves to B ' (-5, -1)

Finally, C(6,9) becomes C ' (-9, -6)

Answer:

x + 80°= 180° ( angles made in straight line)

x = 180°-80°

x = 100°

hope it is helpful to you

Answer:

check ur Answer in the attachment .

Answer:

The slope-intercept form is [tex]y=\frac{1}{2}x+\frac{11}{2}[/tex]

Step-by-step explanation:

To find the slope, use

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

Replace the x and y values with the points.

[tex]m=\frac{7-5}{3-(-1)}[/tex]

Solve.

[tex]m=\frac{2}{4}[/tex]

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

After that, find the y-intercept form.

Put the equation in point-slope form.

[tex]y-5=\frac{1}{2}(x+1)[/tex]

Replace x with 0.

[tex]y-5=\frac{1}{2}(0+1)[/tex]

[tex]y-5=\frac{1}{2}[/tex]

Add 5 to both sides.

[tex]y=5\frac{1}{2}[/tex]

Convert to improper fraction form.

The y-intercept is [tex]\frac{11}{2}[/tex]

Now finally, write in slope-intercept form. (y=mx+b)

m is slope, b is the y-intercept.

Answer:

(B) The baby is male/female is determined by father’s chromosome.

Step-by-step explanation:

Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.

Answer:

hi i hope it helps you

Step-by-step explanation:

please mark brainlist and like

thanks

and have a nice day.

The length of the side CA is 29.84. Therefore, option C is the correct answer.

We need to calculate the length b to two decimal places.

AB=14, BC=22 and ∠B=110°.

The cosine rule to find the length of the side of the triangle is a²=b²+c²-2bc cos A.

b²=14²+22²-2×14×22×cos110°

⇒b²=680-616×(-0.342)

⇒b²=680+210.672

⇒b=29.84

The length of the side CA is 29.84. Therefore, option C is the correct answer.

To learn more about the cosine rule visit:

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Answer:

4

Step-by-step explanation:

A line with 0 slope is parallel to x axis and it must have the same y coordinates

Answer:

4

Step-by-step explanation:

( 3, b ) and ( - 2, 4 )

x1 y1 x2 y2

Here,

x1 = y1 = 0

x2 = - 2

y2 = 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 4 - b ) / ( - 2 - 3 )

0 = ( 4 - b ) / - 5

4 - b = - 5 x 0

4 - b = 0

4 = b

b = 4

Answer:

(a), (c) and (d)

Step-by-step explanation:

Required

Which is linear

A linear function is represented as any of:

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

[tex]y - y_1= m(x - x_1)[/tex]

[tex](a)\ 8x - 3y = 2[/tex]

Rewrite as:

[tex]- 3y = -8x+2[/tex]

Divide by -3

[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear

[tex](b)\ y = |x - 4|-7[/tex]

This is an absolute function. It is not linear

[tex](c)\ y + 8=5(x - 4)[/tex]

By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear

[tex](d)\ y = -7[/tex]

by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]

Others are not linear

Answer:

0.18

Step-by-step explanation:

Answer:

asa

Step-by-step explanation:

sorry for other one but its asa because there are 2 angles and one side and you read it left to right so asa

Answer:

Step-by-step explanation:

we know that the total time of the show is 30 minutes.  

commercial part = 3x+2

entertainment part = y

also we know that   y = 3x +2

y + 3x+2 = 30

we can also say that

2(3(x) +2) = 30

so then

6x +4 = 30

6x = 26

x = 4[tex]\frac{1}{3}[/tex]

4[tex]\frac{1}{3}[/tex]  is the time in minutes for commercials

[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]

[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]

Espero que te sea de ayuda.

Answer:

38°

Step-by-step explanation:

90-58

I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI

Answer:

[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]

Step-by-step explanation:

From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.

*Vertical angles are two lines that intersect each other.*

So ∠BAC is equal to ∠IAK.

[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°

(Interior angles in a triangle always add up to 180°).

[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]

[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]

[tex]\tt \angle BCA=32^{\circ}[/tex]

∠BCA and ∠x are vertical angles, therefore they are congruent.

∠BCA and ∠x= 32°

Answer:

this question is missing needed information

Answer:

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

Step-by-step explanation:

Test if the proportion of odd numbers is significantly different from 50%.

At the null hypothesis, we test if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, we test if the proportion differs from 0.5, that is:

[tex]H_1: p \neq 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]

Two thousand numbers are selected randomly; 960 were even numbers.

This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]

[tex]z = -1.79[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.

Looking at the z-table, z = -1.79 has a p-value of 0.0367

2*0.0367 = 0.0734

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

Answer:

D=8

Step-by-step explanation:

normal division rules

33 goes into 47 1 time

then it leaves 17D

if we divide 170 by 33, we get 5 and if we divide 179 by 33, we still get 5. So we have 17D-165. That leaves us with something that you multiply 33 with to have a 2 in the ones place so that you get a remainder of 2. (In order to get 2 in the remainder, we need a 2 in the ones place because 4-2=2. In order to get that we need to see which number multiplied with 33 would get us a number smaller than 179 but also has a 2 in the ones place. Theres only one number and thats 4. 33*4=132. So in order to get only 2 in the remainder, we need the rest to be subtracted. This means that 17D-165=134. This way we can see that D=8

Answer:

[tex]5.06 x 10^{-3}[/tex]

Step-by-step explanation:

Move decimal 3 place to right.

Because the decimal was moved to right, the exponent is negative.

Answer: 220 feet tall

Step-by-step explanation:

1. Draw!

2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)

Answer:

The building is 220 ft tall

Step-by-step explanation:

This is equivalent to the fraction 1085/2

===============================================================

Explanation:

AP stands for "arithmetic progression", which is another name for "arithmetic sequence"

a1 = -10 is the first term

the 15th term happens when n = 15, so

an = a1 + d*(n-1)

a15 = -10 + d(15-1)

a15 = 14d-10

Set this equal to 11 (the stated 15th term) and solve for d

a15 = 11

14d-10 = 11

14d = 11+10

14d = 21

d = 21/14

d = 3/2

d = 1.5 is the common difference

Let's find the nth term

an = a1 + d(n-1)

an = -10 + 1.5(n-1)

an = -10 + 1.5n - 1.5

an = 1.5n - 11.5

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

The last term is 41, so we'll replace the 'an' with that and solve for n

an = 1.5n - 11.5

41 = 1.5n - 11.5

41+11.5 = 1.5n

52.5 = 1.5n

1.5n = 52.5

n = (52.5)/(1.5)

n = 35

So the 35th term is 41.

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

We're summing n = 35 terms from a1 = -10 to an = 41

S = sum of the first n terms of arithmetic progression

S = (n/2)*(a1 + an)

S = (35/2)*(-10+41)

S = 542.5

The 35 terms add up to 542.5 which is the final answer

As an improper fraction, this converts to 1085/2

Answer:

Number of Volleyballs = 8 balls

Step-by-step explanation:

Given:

Total number of balls = 30 balls

Fraction of soccer ball = 2/5 balls

Fraction of basketball = 1/3 balls

Rest are Volleyballs

Find:

Number of Volleyballs

Computation:

Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs  

Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)

Number of Volleyballs = 30 - 12 - 10

Number of Volleyballs = 30 - 22

Number of Volleyballs = 8 balls

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)

Answer:

x=2 is the answer to your question

Answer:

A

Step-by-step explanation:

Answer:

The answer is <ead

please mark me brainliest

Answer:

x = 73.35

Step-by-step explanation:

Here, we want to find the value of x

We can get this by simply re-arranging the equation

we have this as follows;

x = 57/cos 39 degrees

x = 73.35

Answer:

6

Step-by-step explanation:

So since we are handling decimals we need to get rid of them in order to divide.

Now the numbers should be 96 and 16.

16 * 6 = 96 therefore 6 is the answer.

The required solution of 9.6 divided by 1.6 is 6.

Given that,
To determine 9.6 divided by 1.6

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
= 9.6 / 1.6
= 96 * 10 / 16 / 10
Factoring 36 in the numerator as 96 = 16 * 6
= 16 * 6 * 10 / 16 * 10
Now,
factors that are common between numerator and denominator will be eliminated,

= 6 / 1
= 6

Thus, the required solution of 9.6 divided by 1.6 is 6.

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Answer:

[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]