Evaluate piecewise functions
Pls answer

Evaluate Piecewise Functions Pls Answer

Answers

Answer 1

Answer:

-23

Step-by-step explanation:

x = -5 lies in the last piece

h(-5) = 4(-5) - 3

= -20 - 3

= -23

Answer 2

Step-by-step explanation:

Step 1:  Find which piece-wise function it is in

Equation 1 → x < -7

Let x = -5 → (-5) < -7 ← False

Equation 2 → -7 ≤ x < -5

Let x = -5 → -7 ≤ (-5) < -5 ← False

Equation 3 → x ≥ -5

Let x = -5 → (-5) ≥ -5 ← True

Step 2:  Find the value of h(-5)

[tex]h(-5) = 4x - 3[/tex]

[tex]h(-5) = 4(-5) - 3[/tex]

[tex]h(-5) = -20 - 3[/tex]

[tex]h(-5) = -23[/tex]

Answer:  [tex]h(-5) = -23[/tex]


Related Questions

JEWELRY Ava bought a necklace for $8.50 and some earrings
that cost $3.75 for each pair. The total cost was $19.75. Write
and solve an equation to find how many pairs of earrings
Ava bought

Answers

1 necklace = $8.50
1 pair of earrings = $3.75

8.50+3.75 = 12.25
19.75 - 12.25 = 7.5

7.5 / 3.75 = 2

in total ava bought 3 pairs of earrings
$19.75 - $8.50 = $11.25/$3.75 = 3 pairs of earrings

What is the domain of f?

Answers

Answer:

Step-by-step explanation:

(-3,6)

i need help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
billy has 19 bottles of dis soap. he needs 5 more to complete his collection. how is billy gonna get more soap?

Answers

Answer:

Go to the store or get some from friends?

Step-by-step explanation:

I honestly don't know what kind of question this is but maybe it helps?

In a box of eight donuts, two have pin sprinkles. Express the percent of the donuts in the box that have pink sprinkles.

Answers

Answer:

25%

Step-by-step explanation:

We can rephrase the question like this :

2 is what percentage? of 8

let p be the percentage

then

2 = 8 × p%

  = 8 × (p/100)

then

200 = 8p

then

p = 200/8 = 25

solve the following expression: 4 (r - 8 ) when r + 10

8
2
72
6

Answers

Answer:

The answer is 8

Step-by-step explanation:

if R is equal to 10, the you subtract 10-8 which is two and multiply by four.

Please help!! Select all the triangles that have an area of 8 square units in the picture. Explain how you know please?

Answers

Answer: A,B,D,E

Step-by-step explanation: All of them either have a base and height of 4, or if its E, it is 8 by2. The formula for solving a triangle is base x height divided by 2. In this case, the two sides have to equal 16, as the area is 16/2, or 8

the triangles that have an area of 8 square units in the picture are

A, B, D  and E

Given :

The graph of 4 triangles are given

We know that the area of the triangle formula is

[tex]\frac{1}{2} \cdot base \cdot height \\[/tex]

Lets find out the area of each triangle .

(A) base =4  and height =4

[tex]Area=\frac{1}{2}\cdot 4 \cdot 4=8 \; square \; units[/tex]

(B) base =4, height =4

[tex]Area=\frac{1}{2}\cdot 4 \cdot 4=8 \; square \; units[/tex]

(C) base = 3 and height =5

[tex]Area=\frac{1}{2}\cdot 5 \cdot 3=\frac{15}{2} \; square \; units[/tex]

(D) base =4  and height =4

[tex]Area=\frac{1}{2}\cdot 4 \cdot 4=8 \; square \; units[/tex]

(E) base = 8 and height =2

[tex]Area=\frac{1}{2}\cdot 8 \cdot 2=8 \; square \; units[/tex]

the triangles that have an area of 8 square units in the picture are

A, B, D  and E

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PLEASE HELP ME????: Divide. Write your answer as a decimal. 0.408 ÷ 0.51=

Answers

Answer:

0.8 i think

Step-by-step explanation:

Yes the answer is 0.8

To decorate for a party, Rob and Loretta were each given a bag of balloons. There were 40 balloons between both bags. Rob used 8 balloons from his bag, and Loretta used 8 balloons from hers. The product of the number of balloons left in each bag is no more than 44.

Let x represent the number of balloons that Rob had in his bag before he used any. Which choice represents the number of balloons left in their bags?

If Rob originally had more balloons than Loretta, what is the least number of balloons that Rob could have had before using any?

Answers

Answer:

1) Option D is correct.

The choice that represents the number of balloons in their bags is x² - 40x + 300 ≥ 0

2) Option A is correct

If Rob had more balloons than Loretta, the least number of balloons that Rob van have before using any = 30.

Step-by-step explanation:

Complete Question

To decorate for a party, Rob and Loretta were each given a bag of balloons. There were 40 balloons between both bags. Rob used 8 balloons from his bag, and Loretta used 8 balloons from hers. The product of the number of balloons left in each bag is no more than 44.

Let x represent the number of balloons that Rob had in his bag before he used any. Which choice represents the number of balloons left in their bags?

A. x² - 40x - 300 = 0

B. x² - 40x - 300 < 0

C. x² - 40x = 300

D. x² - 40x + 300 ≥ 0

If Rob originally had more balloons than Loretta, what is the least number of balloons that Rob could have had before using any?

A.30

B.20

C.10

Solution

If x is the number of balloons that Rob had at the start, the number of balloons that Loretta would have at the start = (40 - x)

Then, they both use 8 balloons each for their designs,

The number of balloons Rob has after the design = (x - 8)

The number of balloons Lorretta has after the design = (40 - x - 8) = (32 - x)

The product of the balloons left isn't more than 44

(x - 8) × (32 - x) ≤ 44

32x - x² - 256 + 8x ≤ 44

44 ≥ -x² + 32x + 8x - 256

44 ≥ -x² + 40x - 256

44 + x² - 40x + 256 ≥ 0

x² - 40x + 300 ≥ 0

To solve the second part of the question, we just solve the expression obtained in the first part.

x² - 40x + 300 ≥ 0

Simplifying the left hand side

(x - 30)(x - 10) ≥ 0

The solutions of the inequality is

x ≤ 10 or x ≥ 30

Hence, if Rob had more balloons than Loretta, the feasible solution for x would be x ≥ 30 and the least number of balloons that Rob van have before using any = 30.

Hope this Helps!!!

Answer:

D & A

Step-by-step explanation:

Answer:

1) Option D is the right answer.

x2 - 40x + 300 0 is the option that reflects the number of balloons in their bags.

2) Option A is the right answer.

If Rob had more balloons than Loretta, the minimum number of balloons Rob could have before using any would be 30.

Step-by-step instructions:

Question in its entirety, Rob and Loretta were each handed a bag of balloons to decorate for a party. Between the two bags, there were 40 balloons. Loretta used 8 balloons from her bag, while Rob used 8 from his.The total number of balloons left in each bag cannot exceed 44. Let x be the number of balloons in Rob's bag before he utilized any of them. Which option best depicts how many balloons they still have in their bags? x2 - 40x - 300 = 0 A. x2 - 40x - 300 0 x2 - 40x - 300 0 x2 - 40x - 300 0 x2 C. 40x - x2 = 300 x2 - 40x + 300 0 x2 - 40x + 300 0 x2 - 40x + 300 0 x2 What is the smallest number of balloons that Rob has if he started with more than Loretta? What is the smallest number of balloons Rob could have had before using any if he had more than Loretta at the start? Solution A.30 B.20 C.10 If x is the number of balloons Rob had at the start, Loretta's number of balloons at the start would be = (40 - x) Then they each use eight balloons to create their creations. After the design, the number of balloons Rob possesses Equals (x - 8) Then there was (40 - x - 8) = the amount of balloons Lorretta possesses after the design (32 - x) The product of the remaining balloons is just 44. (x - 8) (32 - x) 44 x x x x x x x x x x x 32x - x2 - 256 + 8x 44 44 -x2 + 32x + 8x - 256 44 -x2 + 32x + 8x - 256 44 -x2 + 40x - 256 x2 - 40x + 256 0 x2 - 40x + 300 0 44 + x2 - 40x + 256 0 We just solve the equation acquired in the first half of the question to solve the second portion of the question. x2 - 40x + 300 ======================== Simplifying...

(x - 30)(x - 10) 0 (x - 30)(x - 10) 0 (x - 30)(x - 10) 0 (x - 30)(x - The inequality's solutions are x 10 or x 30. As a result, if Rob has more balloons than Loretta, the viable solution for x is x 30, and the smallest number of balloons Rob may have before using any is 30. I hope this information is useful!!! ⭐️

What is the surface area of the rectangular prism?

A rectangular prism with a length of 7 inches, width of 9 inches, and height of 4 inches.

[Not drawn to scale]

99 square inches
127 square inches
252 square inches
254 square inches

Answers

Answer:

254

Step-by-step explanation:

I did the test on edenuity and got it right

The surface area of a rectangular prism with length = 7 inches, width = 9 inches and height = 4 inches is 254 inches square.

How to find the surface area of a rectangular prism?

Surface area of a rectangular prism = 2(lw + lh + wh)

where

l  = lengthw = widthh = height

Therefore,

length = 7 inches

width = 9 inches

height = 4 inches

Therefore,

surface area  = 2(63 + 28 + 36)

surface area  = 2(127)

surface area  = 254 inches²

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PLEASE ANSWER THIS QUESTION ILL MARK YOU AS THE BRAINLIEST

Answers

Answer:

Its the first one

Step-by-step explanation:

Answer:

The first choice (1.)

I hope I helped you! If I am correct, may I please get marked as brainiest? Thanks!

Help me please will brainlist

Answers

Answer:B

Step-by-step explanation:

18 is greater than >16

18> 8-8(-1)

18>8+8

If Benjamin practices the trumpet 49 days out of 100, what fraction and what
percentage of days does Benjamin not practice the trumpet?
61
A.
100
or 0.61%
49
B.
100
or 0.49%
49
C.
100
or 49%
D.
51
or 51%
100

Answers

Answer: B

Step-by-step explanation:

The answer is B, because if he practices 49 times out of 100, then you know that it is a fraction of 49/100.

49/100 can also be changed into a decimal, making it 0.49.

Answer:

A: 61/100 or 0.61%

Step-by-step explanation:

He practices 49/100 days, but the question is asking us what percentage of days, he does not practice. He practices 49% of the days, but does not practice 100-49/100 days=61/100 days.

7a – 3 = 3 + 6a answer i already know it is 6

Answers

Answer:

Step-by-step explanation:

7a - 3 = 3 + 6a

7a = 6 + 6a

a = 6

Answer:

a = 6, Nice work!

Step-by-step explanation:

7a - 3 = 3 + 6a

First step is to subtract 6a from the right, also subtracting it from the left. This will leave you with:

a -3 = 3

Now you need to isolate the variable, so to get rid of -3, you have to add 3 to both sides.

a -3 = 3

 +3   +3

a = 6

SRRY BUT PLZ HELP IVE TRIED SO MANY TIMES XCCC

The table shows the weekly salaries in dollars of eight staff members of a company

Which of the following is most affected by the highest salary?

A.) the mean and median
B.) the median
C.) the mean
D.) the mode​

Answers

Answer:

The answer is C

Step-by-step explanation:

Mean is more affected by the highest salary because 890 is an outlier and using mean makes middle salary inaccurate. Outliers do not affect the median because you are just counting. 

A number is chosen at random from 1 to 50. Find the probability of selecting numbers less than 25

Answers

Answer: 50 percent i think

Answer:48%

Step-by-step explanation:The reason is because 50% is 25 AND lower, when it said under 25

Please answer quickly thank you

Answers

Answer:

minimum

Step-by-step explanation:

I think it is (-1,-2) minimum

11. Write an equation for a line that is parallel to the line 6x - 3y = 15 and goes through the point
(-2,4).

Answers

Answer:

y = 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 3y = 15 ( subtract 6x from both sides )

- 3y = - 6x + 15 ( divide all terms by - 3 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = 2x + 8 ← equation of parallel line

The required equation of the parallel line is,

[tex]6x-3y+24=0[/tex]

Equation of parallel lines:

Parallel lines are lines that never intersect. Because of this, a pair of parallel lines have to have the same slope, but different intercepts (if they had the same intercepts, they would be identical lines).

Given, the equation of the line is [tex]6x-3y=15[/tex]

Let the equation of the parallel line be,

[tex]6x+3y+k=0[/tex]...(1)

Since, the equation (1) passes through the point (-2,4) then,

[tex]6(-2)-3(4)+k=0\\-12-12+k=0\\k=24[/tex]

Now, substituting [tex]k=24[/tex]  in equation (1) we get,

[tex]6x-3y+24=0[/tex]

Learn More information about the topic equation of the  parallel lines:

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help with geometry
Which figure correctly shows the line of symmetry?

Answers

Answer:

C

Step-by-step explanation:

Figure C is correctly and exactly divided into two parts so it's a line of symmetry.

Answer:

C is divided correctly and exactly into two seperate parts.

Step-by-step explanation:

Identify the graph of (x+3)^2 - 4y for T(-7,2) and write and equation of the translated or rotated graph in general form.

Answers

Answer:

Step-by-step explanation:

C

Answer:

C.

Step-by-step explanation:

parabola; x^2 + 20x - 4y + 108 = 0

Evaluate the expresion (-3)^-2=​

Answers

Answer:

[tex](-3)^{-2} = \frac{1}{(-3)^{2} } = \frac{1}{9} (ANS)[/tex]

Step-by-step explanation:

What is the slope of the graph ? I have no time limit. Thank you to anyone who answers!

Answers

Answer:

The slope is 1

Step-by-step explanation:

Pick two points

(-1,0) and (0,1)

The slope is given by

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

   = (1-0)/( 0 - -1)

   = (1-0)/(0+1)

   = 1/1

   1

Hello there!

Y = mx + b

Looking at the graph we can find our y-intercept, which would be 0,1.

To find the slope, we can use any two coordinates on the line, such as

(-1,0) and (0,1).

Plug it into the slope formula: rise over run.

1 - 0 / 0 - - 1 = 1/1

1/1 = 1

Therefore our slope is 1x.

Lastly, we just plug the values in for our slope intercept form.

y = 1x + 1

Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 50 centimeters

Answers

The length of the hypotenuse of a [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex] triangle with a leg length of 50 centimeters is [tex]50\sqrt{2}[/tex].

Formula to find the hypotenuse of [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex]triangle.

The formula to calculate the hypotenuse of [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex]  traingle is to multiply the length of the leg by [tex]\sqrt{2}[/tex].

How to find the length of the hypotenuse?

The length of the two legs of [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex] triangle is equal.

Then the length of its hypotenuse will be calculated by multipling the length of the leg and [tex]\sqrt{2}[/tex].

Since the length of the leg is 50 centimeters,

Then its hypotenuse will be

[tex]h=50\times\sqrt{2}\\h=50\sqrt{2}[/tex]

So, the length of the hypotenuse will be [tex]50\sqrt{2}[/tex].

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Tbh I want you to have more :D

Answers

Answer:

Okay.

Step-by-step explanation:

By the wording on this problem is can assume that is the correct answer.

Step-by-step explanation:

Please explain more easier

A rectangle with perimeter 30 in. has length 10 in. What is the area of the rectangle?

Answers

Answer:

Length of rectangle = 10in.

Breadth " " =x

Perimeter= 2( l+b)=30in.

Perimeter=2(10+b)=30in.

=(10+b)=30/2=15

=b=15-10

Breadth=5in.

Answer: 50 in²

Explanation: Remember that the formula for the area of a rectangle is length · width so we need to find the width of the rectangle.

To find the width of the rectangle, let's use our formula

for the perimeter of a rectangle which is 2l + 2w.

Since we know that the perimeter of the rectangle is 30 inches and the length of the rectangle is 10 inches, we have 30 = 2(10) + 2w.

Simplifying on the right side gives us 30 = 20 + 2w.

Now subtract 20 from both sides to get 10 = 2w.

Finally, dividing both sides by 2, we find that 5 = w.

So the width of the rectangle is 5 inches and remember

that the length of the rectangle is 10 inches.

So the area of the rectangle, l · w, is 10 · 5 or 50 in².

Write the value of the expression 2^3/2^3

Answers

Answer:

1

Step-by-step explanation:

[tex]\frac{2^3}{2^3}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\=2^{3-3}\\2^{3-3}=1\\2^{3-3}\\\mathrm{Subtract\:the\:numbers:}\:3-3=0\\=2^0\\\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0\\=1[/tex]

Which will hold more juice, 12cans which is 150 ml or 2 bottles which is 1 liter

Answers

Answer:

if the two bottles are 1 liter each then those two bottles would hold more juice because in total they would hold two liters of juice

Step-by-step explanation:

the 12 cans of 150 ml would hold a total of 1.8 liters which is less than 2 liters

Given the following formula, solve for m.
y=mx+b

A.m=x(y-b)
B.m= y-b/x
C.m= x(y+b)
D.m= y+b/x

Answers

y = mx + b

You need to isolate m.

1. Bring b to the other side by subtracting it from both sides

y - b = mx

2. Divide out x to isolate m on the right

(y - b)/x = m

You answer is B. m = y - b / x

in 0.95 in which place is in the 5

Answers

Answer: hundredth

Step-by-step explanation:

You have units tenths then hundredths

How do I solve special right triangles?

Answers

Answer:

2*sqrt2

Step-by-step explanation:

In right isosceles triangles, the ratios of the sides are:

1:1:sqrt(2)

1=the legs, and sqrt2 being the hypotenuse.

So, in this problem, we can simply divide the hypotenuse by sqrt2 to find the legs.

2*sqrt6/sqrt2=2*sqrt3

Therefore, the lengths of the legs are 2*sqrt2

Which systems of equations are best solved using addition?
x = 2y +6
3x - 4y = -6
- 2x + 3y = 6
4x - 3y = -6
19.6x + 3.6y = 6
9.6x-3.6y = -6
x= - 2y + 6
9.6x-3.6y = 6
Select all that apply
DIA
9.6x +3.6y = 6
9.6x - 3.6y = -6
I B.
- 2x + 3y = 6
4x – 3y = - 6
C.
x = 2y + 6
3x - 4y = -6
D D
x = - 2y + 6
9.6x - 3.6y = 6

Answers

Answer:

do u still need this

Step-by-step explanation:

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The first group participated in a didactic course teaching them about healthy eating habits, exercise, and other types of self-care. The second group received the same training and also participated in a weight-loss support group. The third group was placed on a waiting list to participate in the training until after completion of the study. Researchers found that students in both the group that received didactic training only and the group that received both didactic training and a support-group lost significantly more weight throughout the course of the study than did those in the wait-list control group, but that they did not differ significantly from each other. However, at 6-month follow-up, they found that 90% of those in the group that had only received didactic training had regained the weight they had lost, whereas only 50% of those in the group that had also participated in the support-group experienced similar weight gain. 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