Let ​f(x)=4x−1 and ​g(x)=x2+ 2.
Find ​(f◦​g)(5​).

Answers

Answer 1

Step-by-step explanation:

[tex]f(g(x) = 4(2x + 2) - 1 \\ 4(2(5) + 2) - 1 \\ 4(12) - 1 \\ 48 - 1 = 47[/tex]


Related Questions

Please solve (X+2) 3 = (x-4) 5

Answers

Answer:

x= 13

Step-by-step explanation:

(X+2) 3 = (x-4) 5

distribute on both sides: 3x + 6 = 5x - 20

add 20 to both sides: 3x + 26 = 5x

subtract 3x from both sides: 26 = 2x

divide both sides by two: 13 = x

Answer:

x=13

Step-by-step explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

Find the slope of the line that passes through the pair of points (-1,-9) and (-3,10)

Answers

Answer:

  -9.5

Step-by-step explanation:

The slope (m) is the ratio of the change in y to the change in x:

  m = (y2 -y1)/(x2 -x1)

  m = (10-(-9))/(-3-(-1)) = 19/-2

  m = -9.5

The slope of that line is -9.5.

__

The graph shows the line through those points, written in point-slope form.

PLEASE HELP DUE IN LESS THAN 10 MINUTES. Thank you

Answers

Answer:

answer is B all the best for your exam

Step-by-step explanation:

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Evaluate the following expression.
Your answer must be exact.

Answers

Answer:

1

Step-by-step explanation:

= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]

= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]    

= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]

apply the exponential rule:

    ([tex]-\sqrt{3}-i[/tex])¹²

=  --------------

         2¹²

note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096

= 4096

  4096

= 1

Of the following statements, which one or ones describe actions helpful to your credit score?
1. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
c. I and HII
d. III only

Answers

Answer:

a is the answer

Step-by-step explanation:

What are the measures of each interior and exterior angles of regular quadrilateral MNOP?

Answers

Answer:

A regular polygon is a polygon that is equilateral and equiangular.

The only regular quadrilateral is the square.

We know that all the interior angles of a square are 90° each, so we are fine with that.

Now, for the exterior angles.

If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.

Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:

this is:

360° - 90° = 270°

Below is an image as a guide of this.

Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 12% hydrochloric acid solutionFind the amount of 16% solution and the amount of 8% solution she should mix to get this solution

Answers

ANSWER: 16 ounces of the 11% solution and 12 ounces of the 7% solution should be used.

Explanation: Let x be the number of ounces of the 14% solution and 28 - x be the number of ounces of the 7% solution.

The equation you must set up shows the number of ounces of acid added from each solution equals the number of ounces in the 11% solution.

The key thing to remember is that the number of ounces of acid is the amount of solution times the concentration of acid it contains.

Thus,

.11x + .07(28-x) = .11(28).

You can solve this in the usual way, but it helps to clear the decimals by multiplying both sides by a suitable number.

So here goes,

.14x + 1.96 - .07x = 3.08

Multiply both sides by 100:

14x + 196 - 7x = 308.

Now finish solving:

7x = 308 - 196 = 112
x = 112/7 = 16

Then 28-x = 28 - 16 = 12.

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles.

using Systems of Linear Equations with Three Variables

Answers

Answer:

KJslDKSLADJKLJALKJDLKDLKAsdmjklLkLKLKSLKSLKSKLSJSSJLKJLAJDJLDKJDLSJDLSAJALDLKASJLAS

Step-by-step explanation:

Solve: 2x-3 = 5(x + 6) O A. x=33/7 A. X = 7 O B. x=-11 O C. x= -9 O D. x= -3​

Answers

Answer:

B -11

Step-by-step explanation:

2x-3=5x+30

or,2x-5x=30+3

or,-3x=33

x=-11

Which of the following does NOT show an identity property? Group of answer choices
5 ÷ 1 = 5
2 + 1 = 3
4 × 1 = 4
3 − 0 = 3

Answers

the answer is 2 + 1 = 3

Answer:

2+1=3

Step-by-step explanation:

What additional information is needed to prove the triangles are congruent by ASA?

Answers

Answer:

The additional information that needed is m∠ABD = m∠CDB ⇒ C

Step-by-step explanation:

In the given figure

Triangles ADB and CBD are congruent by ASA under these conditions

m∠ADB = m∠CBDDB = BD ⇒ the side joining the congruent anglesm∠ABD = m∠CDB

Let us see the given to find the correct answer

∵ ∠ADB and ∠CBD have the same mark

∴ m∠ADB = m∠CBD ⇒ (1) given

∵ Side DB is a common side in the two triangles

∴ DB = BD ⇒ (2) given

∵ ∠ABD and ∠CDB are the angles at the end of BD

m∠ABD must equal m∠CDB ⇒ (3) to prove the congruency using ASA

The additional information that needed is m∠ABD = m∠CDB

Answer:

To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.

Step-by-step explanation:

evaluate f(x)=3x-6 when x=2 and x=-4

Answers

Answer:

Step-by-step explanation:

Plug in the x

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

2 = -12 - 6

2 = -18

which is an x intercept of the continuous function in the table -2, -10

Answers

Answer:

-10

Step-by-step explanation:

i

-5 + 10m + -2m^2 simplify

Answers

Answer:

−2m2+10m−5

Step-by-step explanation:

−5+10m−2m2

=−5+10m+−2m2

Can someone help me please!!

Answers

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) =  1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y =  (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1

At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more Riders each hour and how much more?​

Answers

Answer:

The spinning swings would have 10 more an hour.

Answer:

5

Step-by-step explanation:

35 more

F(x) = -2x^2 + 6x-3, opens (down or up) and has a (maximum or minimum) value

Answers

Answer: D

Step-by-step explanation:

(Using the formula in my attachment)

x^2 − 6x + 19

(x - 3)^2 = x^2 - 6x + 9

9 - e = 19

e = -10

(x - 3)^2 - e

(x - 3)^2 - - 10

(x - 3)^2 + 10

when x - 3 = 0, x = 3

Subsitute 3 into the equation

(3 - 3)^2 + 10

0 + 10

Minimum (3,10) in this case f(3) = 10

1
2
3
4
5
6
10
34:10
Which division problem does the model show?
1
1
1
1
1
3
3-3 -9
9
San

Answers

Answer:

3 ÷ 1/3 = 9

Step-by-step explanation:

= 3 ÷ 1/3

= 3/3 (3/1) ÷ 1/3

= 9/3 × 3/1

= 9/1

= 9

A survey found that 12 out of every 15 people like eating at restaurants. If 500 people surveyed like eating at restaurants, how many people took the survey?
if the answers are 600 | 625 | 15 | 500

[URGENT]

Answers

Answer:

625

Step-by-step explanation:

625

Solve 3[-x + (2 x + 1)] = X – 1.
Х=

Answers

Answer:

x=-2

Step-by-step explanation:

Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio was $104 per month (Home Energy Report, Duke Energy, March, 2012). A researcher believes that the cost of electricity for a comparable neighborhood in Chicago, Illinois is higher. A sample of homes in this Chicago neighborhood will be taken and the sample mean monthly cost of electricity will be used to test the following null and alternative hypotheses.
Assume the sample data lead to rejection of the null hypothesis.
What would be your conclusion about the cost of electricity in the Chicago neighborhood?
The input in the box below will not be graded, but may be reviewed and considered by your instructor. What is the Type I error in this situation?
The Type 1 error in this situation What are the consequences of making this error?
The input in the box below will not be graded, but may be reviewed and considered by your instructor. What is the Type II error in this situation?

Answers

Answer:

When the null hypothesis is rejected

The  conclusion is that there is enough evidence to support the claim of the researcher

When a type I error occurs

The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

When a type II error occurs  

 The consequences is  that the conclusion that there is enough evidence  to support the claim of the researcher is actually correct        

Step-by-step explanation:

From the question we are told that

The cost of electricity per month is [tex]\mu = \$104[/tex]

The null hypothesis is [tex]H_o : \mu = \$104[/tex]

The  alternative hypothesis is   [tex]H_o :  \mu  >   \$104[/tex]

Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher

Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected

So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

 Generally a Type II  error is an error that occurs when the null hypothesis is incorrectly not rejected

So in the case of this question the consequence of making this type of  

error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct

Ramona believes that plants exposed to radio waves will become extra tall. She decides to plant two
seeds in 20 separate pots. She placed 10 pots near a radio for 5 days and the other 10 pots in a room
without a radio. Each plant had the same size pot and the same amount of soil and water She
compared the height of the exposed plants to those not exposed. The average height of the plants
exposed to the radio waves was 6.5 cm. The average height of the plants unexposed was 70 cm

Answers

Answer:I have this same problem but if you’re asking for the independent and other questions here’s the answer. Independent variable is the radio since that’s the only change happening to the 10 other pots. Dependent variable is the height of the plant since that’s what Ramona wants to see change as the output. Control group is the 5 pots without the radio i’m pretty sure. The constants are the amount of seeds, pots, soil, and water.

Step-by-step explanation:

what is cardinality of A={1,4,9}​

Answers

Answer:

3

Step-by-step explanation:

The cardinality of a set a measure of the number of elements in a set.

A set is a group of objects that have a well defined relationship between them.

In the given set,  A={1,4,9}​

 The set of A has 3 elements which are 1, 4 and 9

So, the cardinality of this set is 3.

Olivia buys 4 masks that each cost the same amount and a scarecrow. She spent a total of $176.75. If the scarecrow costs $56.75, write an equation she can use to find the cost of each mask. * 10 points 4m + 56.75 = 176.75 5m + 56.75 = 176.75 4m - 56.75 = 176.75 5m - 56.75 = 176.75

Answers

4m+56.75=176.75

Solve the equation to find the cost of each mask.

Factor (5x − 6)2 − (4x − 3)2.

Answers

Answer:

9( x-3) (x-1)

Step-by-step explanation:

(5x − 6)^2 − (4x − 3)^2

This is the difference of squares   a^2 - b^2 = ( a-b) (a+b)

(5x − 6)^2 − (4x − 3)^2   where a = 5x-6  and b = 4x-3

( 5x-6 - (4x-3))  ( 5x-6 +(4x-3)

Distribute

( 5x-6 -4x+3)  ( 5x-6 +4x-3)

Combine like terms

(x-3) ( 9x-9)

Factor out the 9

9( x-3) (x-1)


What is the equation of a line passing through the point (4,-1) and parallel to the line whose equation is 2y-x=8

Answers

9514 1404 393

Answer:

  2y -x = -6

Step-by-step explanation:

You can use the same x- and y-coefficients. You just have to change the constant on the right. Put the point values into the left expression to see the new constant.

  2y -x = 2(-1)-(4) = -6

The parallel line is ...

  2y -x = -6

£72 in the ratio 5:4

Answers

Answer:

40:32

Step-by-step explanation:

5+4= 9.

72 / 9 = 8

5x8:4x8

aka

40:32

If F= 2x²+ +6x - 5 G=3x² + 4) and C=G-3F, find the value of C as a trinomial

Answers

dang boi i thought my stuff was hard lol

Forty one thousand,two hundred eleven

Answers

Answer:

forty one thousand, two hundred eleven written in numeric form is 41,211

Step-by-step explanation:

i'm assuming this is what you were asking; good luck

What is 15% of 90?
O 13.5
O 6
O 600

Answers

Answer:

13.5

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

What number is 15% of 90?

The calculated percentage of the number 15% of 90 would be 13.5.

If this helps please mark brainliest.

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