What is (f - g)(x)?
f(x) = -2x + 4
g(x) = -x2 + 4x + 5

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Use the slope formula:

slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]

Let:

[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]

Simplify the fraction. Divide common factors from both the numerator and denominator:

[tex]\frac{(\frac{3}{9} )}{\frac{3}{3} } = \frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] is your answer.

~

Answer:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Y₂= 4

Y₁=1

X₂= 4

X₁= (-5)

Solve.

4-1/4-(-5)

4-1=3

4+5=9

=3/9

Divide.

3/3=1

9/3=3

=1/3

[tex]\large\boxed{\dfrac{1}{3}}[/tex]

Therefore, the slope is 1/3.

Answer:

107 chocolate cupcakes sold

78 chocolate covered strawberry cupcakes sold

Step-by-step explanation:

to solve one of these questions, you need to write two equations and then substitute back and forth to get the answer.

to start, we need to write an equation.

2.75c+3.75s=586.75

and c+s=185

reworking the second equation to isolate s, we'll then substitute it into the first one.

so s=185-c

2.75c+3.75(185-c)=586.75

2.75c+693.75-3.75c=586.75

combine like terms (the ones with a c variable attachment)

2.75c-3.75c=-1c

693.75-1c=586.75

-693.75

-107=-1c

/-1

107=c

put that back into the second equation

107+s=185

78=s

Answer:

D

Step-by-step explanation:

Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the corresponding factors are

(x - 5) , (x - 7)

The equation is then the product of the factors, that is

y = (x - 5)(x - 7) ← expand using FOIL

   = x² - 7x - 5x + 35 ← collect like terms

y = x² - 12x + 35 → D

The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

It is Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the other factors are

(x - 5) , (x - 7)

The equation is then the product of the factors,

[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]

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The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

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Answer:

Half of 20 is 10(new radius)

10^2(radius being squared) = 100

Next step is to multiply by pi

100π cm2

Step-by-step explanation:

Formula of area of a circle:

πr^2

pi x radius squared

Answer: 29%

Step-by-step explanation:

This is correct on acellus :)

The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

The probability is represented as:

P(Large | Hot)

This is calculated using:

P(Large | Hot) = n(Large and hot)/n(hot)

Using the data on the given table, we have:

P(Large | Hot)  = 22/(8 + 12 + 5)

P(Large | Hot)  = 0.88

In percentage

P(Large | Hot)  = 88%

Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

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Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's.

Answer:

(9-7)

Step-by-step explanation:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

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Answer:

100,000-110,000 pounds

Step-by-step explanation:

one ton equal to 2000 pounds

50x2000=100000

55x2000=110000

100,000-110,000 pounds

If this helps please mark as brainliest

Answer:

100,000-110,000

Step-by-step explanation:

2000x50= 100,000

2000x55= 110,000

Answer:17(milk):13(water)

Step-by-step explanation:milk is denser then water so its the bigger potion based on the picture, and u add all 3 cups of milk together and do the same for the water, again sorry if I am wrong

Answer:

yes because the truck is smaller than the parking space. the area is 66.25 sq. ft

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Answer:

flood is the answer fycgguvvytugcut because snow turns into water

Answer:

12 yards

Step-by-step explanation:

h = (3×198)/(½×11×9)

= 594/(49.5)

= 12 yds

Answer:

no its not a function

Step-by-step explanation:

the x-int. repeats its self

Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Answer:

-45/4 or -11.25

I'm pretty sure this is right hope it helps

Answer:

Simplify the expression:

Exact form:

-27/4

Decimal form:

-6.75

Mixed number:

-6 3/4

Step-by-step explanation:

The / actually means to divided.

Answer:

inverse, 50

Step-by-step explanation:

By looking at this, we can realize that it cannot be direct, because the y value does not increase when the x value does. Furthermore, we can realize that when the x and y values are multiplied, they all equal 50. This is a property of inverse variation. This means the relation is inverse. Lastly, the constant is 50 because that is the common product.

Answer:

47.34158

rounded to the nearest tenth of a minute: 47.3

Answer:

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

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Answer :

ASA

ASA stands for “Angle, Side, Angle”. ASA refers to any two angles and the included side.

Answer: 7.5 feet

Step-by-step explanation:

.

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

Answer:

-6 2/3

Step-by-step explanation: