The table shows values for functions f(x) and g(x) .

What is the solution to f(x)=g(x) ?
Select each correct answer.

A. −3

B. −2

C. −1

D. 0

E. 1

F. 2

G. 3

Answer:

2t-6

Step-by-step explanation:

Answer:

580/24

Step-by-step explanation:

=24.something

Answer:

s= number of small cups sold

l= number of large cups sold

system of equations:

10s+24l = 580

l = 2s

Step-by-step explanation:

Answer:

$9,709.17

Step-by-step explanation:

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

Answer:

10m/7

Step-by-step explanation:

quotient means division so 10 times m is 10m

and then we will divide 10m and 7

10m/7

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Answer:

[tex]\frac{dy}{dx} = 24 x + 21[/tex]

Step-by-step explanation:

Explanation:-

Given that the function

      y = f(x) = 3 x ( 4 x + 7)

     y  = 3 x ( 4 x + 7)  

    y = 12 x² + 21 x ..(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]

[tex]\frac{dy}{dx} = 24 x + 21[/tex]

Answer:

Michael has 3 times more oranges than apples.

Step-by-step explanation:

Given that:

Number of apples = 06

Number of oranges = 18

Let,

x be the number of times.

Number of oranges = Number of times * Number of apples

18 = x * 6

18 = 6x

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

Hence,

Michael has 3 times more oranges than apples.

Step-by-step explanation:

lolekieieieieieooe EP of everything e

The multiplication of the given numbers is obtained as 0.43.

A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.

The given numbers are 1.34 and 0.32 respectively.

The multiplication of these numbers are given as follows,

1.34 × 0.32

= 0.4288

In order to round it to the nearest hundredth, look at the digit at the thousandth place.

Here, it is given as 8 which is greater than 5.

Thus, the required number is 0.43.

Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.

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Answer:

if you are doing the absolute value.....

7.) since 17 -16 is 1. l1l is 1

11.) since l-101l is a negative that absolute value is 101

the absolute value is the distance from 0

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

=  6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L

Answer:

16

Step-by-step explanation:

20% = 0.2

80 x 0.2 = 16

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Answer:

16 is 20 percent out of 80

Step-by-step explanation:

Answer:

Bella saves more per chore than sweet t

Step-by-step explanation:

Becuase i just did it

The comparison situation is:

Bella save more per chore than Sweet T.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.  LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

Bella's amount: d= 3.5c + 11

Sweet T amount:

Rate of Change = (14-12)/ (2-1)= 2

So, d = 2c + 12

Thus, the initial saving of Bella is less than Sweet T and Bella save more per chore than Sweet T.

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Answer:  The correct answer is A

Step-by-step explanation:

If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4

1/4 x 5/1 = 5/4

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9514 1404 393

Answer:

  a) $42.35

  b) $5124.56

  c) $407.44

Step-by-step explanation:

a) The interest due is that for one month on the remaining balance:

  I = Prt

  I = $5082.21·0.10·1/12 = $42.35

__

b) The final payment is ...

  $5082.21 +42.35 = $5124.56

__

c) Had Hudson continued paying, he would have paid ...

  20·$276.60 = $5532.00

So, he saved ...

  $5232.00 -5124.56 = $407.44

Answer: 26

Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in

(4x+24)+ (3x-4)=90, then combine like with like.

7x+20=90

7x=70

x=10

Then let plug it in for angle B

(3(10)-4= 26

Answer:

x = 10°

∠B = 26°

Step-by-step explanation:

complementary means they add up to 90 degrees.

4x + 24 + 3x - 4 = 90°

combine like terms:

7x + 20 = 90°

7x = 70°

x = 10°

Answer:

x=6

Step-by-step explanation:

Answer:

E. HL

Step-by-step explanation:

In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.

Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.

Answer:  90 words per minute

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

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

Answer:

21

Step-by-step explanation:

The units Lily walked are 21 units.

Distance is defined to be the magnitude or size of displacement between two positions.

Given that, Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7).

We know that, the distance between the two points is given by =

D = [tex]\sqrt{(x_{2}-x_{1} )^2 +(y_{2} -y_{1})^2 }[/tex]

The given points are A (–6, –3), B (5, –3) and C (5, 7).

The distance between her house and the store (AB) =

[tex]\sqrt{(5+6)^2 +(-3+3)^2} \\= \sqrt{121} \\= 11[/tex]

Therefore, The distance between her house and the store (AB) = 11 units

Similarly,

The distance between the store and the library (BC) =

[tex]\sqrt{(5-5)^2+(7+3)^2} \\= \sqrt{100} \\= 10[/tex]

Therefore, The distance between the store and the library (BC) = 10 units

Therefore, the total distance = 10+11 = 21 units

Hence, She walked a total 21 units from point A to C.

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Answer:

Step-by-step explanation:

Hi there :)

So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.

Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.

Good luck with the rest of your assignment, have a good day/night!!

Answer: The correct option is the first one.

Step-by-step explanation:

Let's define how to interpret each symbol:

x < a  (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)

x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)

x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)

x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)

In this case, we have the inequality:

x ≤ 15

Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.

Answer:

x2

Step-by-step explanation:

x2 82

Answer: 32

Step-by-step explanation: since y=5, 4y= 20. 12+20=32

Answer:

2c+-6

Step-by-step explanation:

add the Cś then add the numbers

Answer:

Diameter= 16 cm circumference is 50.24

Step-by-step explanation:

The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.

Since the radius is 8 cm

So here the diameter be

= 2(radius)

= 2 (8)

= 16 cm

Now the circumference of the circle is

[tex]= 2\pi r\\\\= 2 \times 3.14 \times 8[/tex]

= 50.24

hence, The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.

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Answer:

x=3

y=0

i hope this helps:)

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Shape: Isosceles Right Triangle.

Isosceles Right Triangles always have two sides of equal length. In this case, the sides of equal length include 17 and 17. The third side (9) would refer to the base, so it would not count.

Also, if you turn the shape sideways, you can see that the unknown side would be 17.

Hope this helps!

Answer:

i. Predicted chi-square value(x^2)?______ 22.35

ii.  df_______ 6-1= 5

iii. Using the critical values table, determine the predicted P value

The P-Value is .050985 for 5 df and 0.05 significance level. The result is not significant at p < .01.

The P-Value is .010362 for 5 df and 0.01 significance level. The result is not significant at p < .01.

Step-by-step explanation:

Phenotype     Predicted ( o)       Expected (e)           (o-e)          (o-e)²/e

                       (observed)

A- normal         19                 3/4 * (1/4)= 3/16  25.5      -6.5           1.66

O  normal         5                  1/4 * (1/4)= 1/16     8.5        -3.5            1.44

A trait               70                 3/4 * (1/2)= 3/8     51          19               7.07

O  trait               25                1/4 * (1/2)= 1/8      17            8              3.67

A  Disease        13               3/4 * (1/4)= 3/16    25.5      -12.5           6.13

O  Disease       4                 1/4 * (1/4)= 1/16        8.5     -4.5             2.38

                       136                                              136                         22.35

i. What is your predicted chi-square value(x^2)?______ 22.35

ii. Calculate df_______ 6-1= 5

iii. Using the critical values table, determine the predicted P value

The critical region for alpha =0.05 is χ² ≥ χ² (0.05,5) = 11.02

The P-Value is .050985. The result is not significant at p < .01.

The critical region for alpha =0.01 is χ² ≥ χ² (0.01,5) = 15.00

The P-Value is .010362. The result is not significant at p < .01.

The calculated value of chi square is  22.35  which is greater than  15.00  and 11.02 , the critical regions at alpha 0.05 and 0.01

Therefore it falls in the critical region and the result is insignificant.