The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70

Answers

Answer 1

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[tex]q(x) = {x}^{2} - 3x - 4[/tex]

[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]

[tex]q(10) = 100 - 30 - 4[/tex]

[tex]q(10) = 70 - 4[/tex]

[tex]q(10) = 66[/tex]

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Thus the correct answer is (( C )) .

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Related Questions

The populations of Cities A and B are 1.6 x 10^5 and 1,070,000​, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City​ A?

Answers

Answer:

13

Step-by-step explanation:

First find the population of city c 1,070,000 times 2 = 2140000

Round 2140000 to the nearest hundred thousands = 2,100,000

Third find how many places the decimal moves which is 6 places

Fourth scientific notation of 2,100,00 is 2.1 times 10^6

Fifth divided city c by the population of city a

2.1x 10^6 divided by 1.6 x 10^5

2.1 / 1.6 rounded is 1.3

10^6 divided by 10 ^ 5 is 10

Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13

The population of city c is about 13 times the population of city a


Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?

Answers

9514 1404 393

Answer:

domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line test

Step-by-step explanation:

The domain is the list of x-values of the points on the graph. It is ...

  {-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

  {-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.

Answers

Whats the original temp? Is this the full question?

7 (3 - 0.5k) 3k - 5​

Answers

Your answer is going to be 63k-10.5k square 2 -5

Step-by-step explanation:

63k -10.5k square 2-5 and you have you answer

please help me in math ​

Answers

there are two ways you can do this. Go through each of the nth terms separately and find the one that matches or you can find the nth term with the sequence itself.

so you find the size difference inbetween each term which is -5 so you know there will be -5n in your formula so then you need to make n= 1 (for the first term) so that equals -5 but you want -3 so you need to find what + -5 equals -3 which is 2.

So now you know your answer is 2-5n

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answers

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18

Answers

Answer:

I think the answer is B.23

Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7

Answers

Answer:

A=3√5

B=11√7

Step-by-step explanation:

5√5-2√5

5-2√5

3√5

B) 8√7+3√7

8+3√7

11√7

i am in need of assistance

Answers

The cars speed is 80 miles per hour

The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?

Answers

We know, distance between two points A( p,q) and B(r,s) is given by :

[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]

So, distance between P an Q is :

[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]

Distance between Q and R is :

[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]

Distance between R and S is :

[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]

Therefore, total distance is 11 + 12 + 2 = 25 units.

Hence, this is the required solution.

I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?

Answers

Answer:

$120*.12= then add the answer to the money amount

Step-by-step explanation:

Answer:  120*1.12

The multiplier 1.12 represents the idea of increasing by 12%

This is because 100% + 12% = 1 + 0.12 = 1.12

For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.

A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?

Answers

Answer:

# of 5 dollar bills: 9

# of 1 dollar bills: 6

Step-by-step explanation:

9•5 = 45

1•6 = 6

To Check: 45 + 6=51

9 $5 bills and 6 $1 bills

what is f(x)=5x-12 what is f(2)?

Answers

Answer:

f(2) = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 12

f(2) is x = 2

Step 2: Solve

Substitute:                         f(2) = 5(2) - 12Multiply:                             f(2) = 10 - 12Subtract:                            f(2) = -2

Answer:

f ( 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 5x - 12            Function

Step 2:

f ( 2 ) = 5 ( 2 ) - 12          Input x

Step 3:

f ( 2 ) = 10 - 12        Multiply

Answer:

f ( 2 ) = - 2

Hope This Helps :)  

Which equation is equivalent to y – 6 = –12(x + 4)?
A. y = –6x – 48
B. y = 6x – 48
C. y = –12x – 42
D. y = –12x – 54

Answers

Answer:

Y-6 = -12 (x+4) Y = -12x - 48 + 6 Y = -12x - 42 answer is c

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[tex]y - 6 = - 12(x + 4)[/tex]

[tex]y - 6 = - 12x - 48[/tex]

Add sides 6

[tex]y - 6 + 6 = - 12x - 48 + 6[/tex]

[tex]y = - 12x - 42[/tex]

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The correct answer is (( C )) .

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Anyone know this pls help ill give brainliest :)

Answers

Answer:

30, 40, 60, 70,

Step-by-step explanation:

pattern by 10

For 3=30

      4=40

       6=60

        7=10

  Calculate the slope

           50-20/5-2

             10

a b c d ?? help me pleas and ty

Answers

Answer:

a

Step-by-step explanation:

Answer:

a is the answer hopw this helps

Can you show me the answers step by step please?

Answers

Answer:

3490

Step-by-step explanation:

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

To learn more about the product visit:

https://brainly.com/question/10873737

Please help!! I’m stuck on this one haha

Answers

Answer:

Ready to help soon as we know what that "one" is

Answer:

hahaha where is the pic

Step-by-step explanation:

Find the value of x that makes m ∥ n .

Answers

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?

Answers

6.75 is the answer hope it helps

help if you cannn please

Answers

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

Answers

Answer: y= 9

Step-by-step explanation:

A = (4, 2)
B = (- 1, y)

We know that the slope is -7/5 which is rise/run

Thankfully the run is 5 which is the exact distance from 4 to -1 so we would need to apply -7 to 2 which would be 5
The answer is
B = (- 1, 5)

Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??

Answers

Step-by-step explanation:

1. 4/8=1/2

2.3/9=1/3

3.9/12=3/4

4.3/6=1/2

Find the values of x and y.
X= __
Y= __

Answers

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!

Identify each pair of angles as alternate interior, corresponding, alternate exterior, or none of these.
∠1 and ∠10
∠6 and ∠12
∠8 and ∠10
∠4 and ∠11
∠2 and ∠8

Answers

Step-by-step explanation:

Identification of given pairs of angles are as follows:

∠1 and ∠10: Corresponding angles

∠6 and ∠12: Alternate exterior angles

∠8 and ∠10: Alternate interior angles

∠4 and ∠11: Alternate interior angles

∠2 and ∠8: Alternate exterior angles

Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?

Answers

Given:

Original price of a blouse = $21.99

Sale = 25% off

To find:

The cost of blouse during the same before tax.

Solution:

Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.

[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]

[tex]\text{Price of blouse during sale}=16.4925[/tex]

Approximate the value to the nearest cent (2 decimal places).

[tex]\text{Price of blouse during sale}\approx 16.49[/tex]

Therefore, the cost of blouse during sale is $16.49.

Answer:

16.49

Step-by-step explanation:

Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.

Answers

Answer:

first i know but idk then

to increase an amount by 19% multiple by?

Answers

To increase an amount by 19% you need to multiple the amount by 1.19

Answer:

1.19

Step-by-step explanation:

The original full amount is 100%.

When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.

To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19

Answer: 1.19

Find three consecutive even integers suche
that one half of their sum is between 15
and 21.

Answers

9514 1404 393

Answer:

  10, 12, 14   and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question

Step-by-step explanation:

If x is the middle one, then their sum is 3x. You want ...

  15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21

  30 < 3x < 42

  10 < x < 14

The only even integer in that range is 12, so the three integers are ...

  10, 12, 14 . . . . . half their sum is 18

__

We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.

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