You work for an electric company and make a base pay of $200 every two weeks. You earn and extra
$15 for each hour you work. Write a function to model this scenario using f(h) for the amount of
money made and h for the hours of worked.

Answer:

here is the, ans hope it helps :)

x = -13 ± (√ 565) / 22 is the solution to the operation

(8x² + 8x - 9) + (3x² + 5x) = 0.

 ∴ (8x² + 8x - 9) + (3x² + 5x) = 0

=> 8x² + 8x - 9 + 3x² + 5x = 0

=> 11x² + 13x -9 = 0

After obtaining the standard form a, b and c are identified from the original equation and are placed into the quadratic formula.

∴ x = (-b±√(b²-4ac))/(2a)

11x² + 13x -9 = 0

where,

a = 11, b = 13, c = -9

=> x = (-13 ± √(13² - 4×11(-9)) )/ (2×11)

=> x =( -13 ± (√ 565) )/ (22).

So, the solution to (8x² + 8x - 9) + (3x² + 5x) = 0 is x = -13 ± (√ 565) / 22.

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The complete question is -

Perform the operation:

(8x² + 8x - 9) + (3x² + 5x) = 0

The percent error of the measurement , to the nearest tenth of a percent is 5.9% .

In the question ,

it is given that

the actual length of the line = 17.1 inches

the length of the line measured by Julia = 16.1 inches

the percent error can be calculated using the formula

percent error = (actual length - measured length)/(actual length)

Substituting the actual and measured value in the formula ,

we get

percent error = (17.1 - 16.1)/17.1

= 1/17.1

= 5.84795

≈ 5.9%

Therefore ,The percent error of the measurement , to the nearest tenth of a percent is 5.9% .

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Answer:

Sally can make 26 bracelets and 13 necklaces.

Step-by-step explanation:

necklace = 16 beads

bracelet = 27

(twice as many bracelets as necklaces)              

total = 910 beads

27*26 = 702 beads    (26 bracelets)

16*13 = 208 beads      (13 necklaces)

702+208 = 910

Answer:

-25

Step-by-step explanation:

if you are 25 feet underground, you can use ground level as zero and go down from there.

The complete table of values is:

x  -2  -1  0  1  2

y 1/9  1/3 1  3  9

From the question, we have the following equation:

f(x) = 3ˣ

From the table of values, we have the following x values

x = -2, -1, 0, 1 and 2

Substitute x = -2, -1, 0, 1 and 2 in the equation f(x) = 3ˣ

When x = -2

f(-2) = 3⁻² = 1/9

When x = -1

f(-1) = 3⁻¹ = 1/3

When x = 0

f(-1) = 3⁰ = 1

When x = 1

f(1) = 3¹ = 3

When x = 2

f(2) = 3² = 9

Hence, the complete table of values is:

x  -2  -1  0  1  2

y 1/9  1/3 1  3  9

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If four digit numbers are made using the digits 0 to 6, the number of even digits formed without repeatetion is 204.

For an even number the last digit can be either zero or 2,4, 6 and each digit can be used only once

If the 4th digit is 0, then that leaves 5 possible numbers for the 1st digit, 4 for the 2nd, and 3 for the 3rd. 5 x 4 x 3 = 60 possible 4-digit even numbers.

If the 4th digit is 2,4 or 6, that leaves 4 possible numbers for the 1st digit (as 1st digit can’t be 0), 4 for the 2nd digit, and 3 for the 3rd digit. 4 x 4 x 3 x 3 = 144 possible 4-digit even numbers.

total possible even digits is = 60 + 144 = 204

Therefore, if four digit numbers are made using the digits 0 to 6, the number of even digits formed without repeatetion is 204.

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At 4 months of subscription, both plans will cost the same.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Two subscription services offer deliveries of boxes of nutritious, organic snack foods each month.

Snacks 4 U has 4$ for 3 months and from then $14 a month and Healthy times has 1 month of free subscription and then $10 months.

Assuming no. of months required that two plans will cost the same is x.

∴ 12 + 14x = 10x

4x = 12

x = 3 and + 1 for the free months.

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Use the regression equation y = 6050-725x to predict the value of a china cabinet after x years. x is 5325.

For example,

[tex]$&Y-\bar{Y}=b_{y x}(X-\bar{X}) \\[/tex]

Y-11 = 0.929(X-4)

Simplifying, then we get

Y = 0.929 x - 3.716 + 11

= 0.929 x + 7.284

The regression equation of Y on X is

Y = 0.929 x + 7.284

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Answer:

i think this is your question from edge?

Step-by-step explanation:

The transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up

The parent function function is

f(x) = |x|

The second function is

g(x) = |x - 3| + 5

The transformation of the function or the shape is the change of the coordinates of the shape. The shape and the size will be same only the coordinates will change

The parent function

f(x) = |x|

First there is a horizontal shift, that is 3 units right

Then there will be a vertical shift, that is 5 units up

There is no reflection about x axis or any vertical compression

Hence, the transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up

The complete question is.

Describe the transformation from f(x) of g(x) where f(x) = |x| and g(x) = |x-3| + 5.

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They have to drive 200 miles before Lena and Peter pay the same price for the rental .

In the question ,

it is given that ,

let x be the number of miles they drive together and pay the same amount.

the charge for Lena's car rental company is $50 per day and then $0.40 per miles which is represented by the equation

Cost = 50 + 0.40x

the charge for Peter's car rental company is $70 per day and then $0.30 per miles which is represented by the equation

Cost = 70 + 0.30x

Equating the cost for Lena and Peter car rental company

70 + 0.30x = 50 + 0.40x

0.40x - 0.30x = 70 - 50

0.10x = 20

x = 20/0.10

x = 200

Therefore , They have to drive 200 miles before Lena and Peter pay the same price for the rental .

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The figure shown in 2 and 4 are the functions. Options B and D are correct.

Given that,
A number of graphs have been shown, to determine which graph is a function,

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Graph 1,
Is not function because it is a scatter plot,

Graph 2
Is line, which is a function,

Graph 3
Is a circle with a curve that is not functional,

Graph 4
Is parabola and quadratic function,

Thus, the figure shown in 2 and 4 are the functions. Options B and D are correct.

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The numbers 0, 2, and 5 can be repeated any number of times to create 16 three-digit numbers.

Given that,

As many three-digit numbers as you can must be written. Only the numerals 0, 2, and 5 may be used in your replies, although you may repeat digits.

This is a problem on Permutations

Permutation is the different ways that a set of elements can be arranged, either all at once or part of them at a time. There are two alternative arrangements, AB and BA, for instance, if we have two elements, A and B.

Repeating number permutation

= 3³ - 11(as one of the digit is Zero "0")

= 3 × 3 × 3 - 11

= 16

Let me list each result one by one.

222, 205, 250, 255, 225, 252, 220, 202.

502, 520, 552, 525, 555, 522, 550, 505.

Thus, there are 16 three-digit integers that may be constructed by the numbers 0,2, and 5 with any digit repeated.

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Answer:

One solution which is x = 2

Step-by-step explanation:

Equations like these most often won't have more than one solution unless they are the exact same equation.

If the equation was x + 1 = x + 1, it would have infinitely many solutions because both sides are the same.

Equations with absolute value and quadratic equations most often have 2 solutions have there is a negative answer and a positive answer.

None of the graphs shows the solution set for the given inequality, so it may be written incorrectly or maybe there are some graphs not shown in the image.

Here we have the inequality:

4x - y ≤ - 6

If we isolate the variable y, we get:

4x + 6 ≤ y

First, because of the symbol "≤" we know that we will have a solid line (the points on the line are also solutions).

We also can see that we have a positive slope

y ≥ 4x + 6

Also we can see that the y-intercept is 6, now the problem is that none of the graphs meets the 3 conditions.

So there is no correct option, which means that there may be a mistake in the inequality you wrote.

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The following number in the series is 48.

Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.

Given first five terms of a sequence are 3,8, 15, 24, 35

On examining the series we see:

3 - 0 = 3

8 - 3 = 5

15 - 8 = 7

24 - 15 = 9

35 - 24 = 11

The increments are an arithmetic progression with the first term being 3 and the difference being 2.

The next term (sixth term) is 13.

Hence the next number of the series 3, 8, 15, 24, and 35 is 35 + 13 = 48

Therefore the next number in the series is 48

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Answer:

x=-12.5

Step-by-step explanation:

The corresponding angles theorem shows that -6x+80 is supplementary to 25.

So -6x+80+25=180

-6x+80=155

-6x=75

-6x/-6=75/-6

x=-12.5

The ball hits the ground after 3.39 seconds.

acc to our question-

The following quadratic equation can be used to calculate the height of the ball after t seconds while accounting for gravity.

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for #3:

a) 0.9

b) 0.4

c) 0.7

d) 0.08

e) 3.9

f) 1.6

g) 5.5

h) 12.4

And for #4:

The answer is $131.63

Nathan earns 9.75 dollars in one hour, and you want to figure out how many he makes in thirteen and a half hours. To do this, just multiply 9.75 by 13.5.

9.75*13.5 is 131.625. However, money only goes to the hundredths place, which means there are only 2 decimal places. This means you should round 131.625 to the hundredths place, which makes 131.63.

I'm going to do a short answer so here:

a) 0.9

b) 0.4

c) 0.7

d) 0.8

e) 0.39

f) 1.6

g) 5.5

h) 12.4

All of these can be solved by doing this (example_:

2.7/3=

(27/3)/10

(9)/10= 0.9

essentially, just recognize that they are similar to their whole number counterparts.

4. $9.75*13.5= ~131.63 (technically 131.625, but that doesn't exist in monetary values)

Answer: x = [tex]\frac{15}{7}[/tex]

Step-by-step explanation:

     To solve, we will isolate the variable by using reverse operations. You commented the proper equation is 45 - 3x = 18x

Given:

45 - 3x = 18x

Add 3x to both sides of the equation:

45 = 21x

Divide both sides of the equation by 21:

x = [tex]\frac{15}{7}[/tex]

The amount due on the note with the cost of $7800 , 10% promissory note for 60 days is equal to $7930.

As given in the question,

Cost of purchase a plumbing components  = $7,800

Valley spa signed promissory note for 60 day

Percentage of promissory note = 10%

Condition: For the note is dishonored :

Amount due,  

Due Interest on the note

= 7800 × (10 /100) × ( 60 /360)

= 78 × 10 × ( 1/6)

= 13 × 10

= $130

Total amount due

= original cost + interest

= $(7800 + 130)

= $7930

Therefore, for the dishonored note  the amount due on the note is $7930.

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The oven that has a higher price is the combination oven.

The normal price of the microwave will be illustrated as x. This will be:

(x - 1/3x) = 90.

2/3x = 90.

Cross multiply

2x = 3 × 90.

2x = 270

Divide

x = 270/2

x = 135

The normal price is £135

For the combination oven, the normal price will be:

(x - 0.4x) = 84

0.6x = 84

Divide

x = 84/0.6

x = 140

The price is £140

The combination oven is costlier.

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The alternative hypothesis will be French people differ from English people in height.

A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables.

In statistical hypothesis testing, null and alternate hypotheses are applied. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

Given

Null hypothesis- French people do not differ from English people in height.

Therefore, the Alternative hypothesis for the given statement is - French people differ from English people in height.

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Only option 'a' is true

Calculation

Given, x + 5.5 = 0

x = -5.5

a. 2(x+3) ≤ -5

2(-5.5+3) ≤ -5

2*(-2.5) ≤ -5

-5 ≤ -5

Hence, it is true

b. 3 – 2x > 12

3 – 2(-5.5) > 12

3 – 11 > 12

-8 > 12

Hence, it is false

c.[tex]x^{2}[/tex] +(-5.5) < 24.75

[tex]-5.5^{2}[/tex] + (-5.5) < 24.75

30.25 <24.75

Hence, it is false

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Answer:

B

Step-by-step explanation:

y intercept is whenever x is 0 or in this case when they haven’t been on any rides

Here Jamie starts off with 24 tickets before going on any rides

Hopes this helps

The given probability distribution is a discrete probability distribution.

Given,

 x:    3        4        7

P(X=x): 0.19    0.3    0.51

Discrete probability distribution property;

∑P[tex](x_{i} )[/tex] = 1

Discrete probability distribution;

The outcomes of events that can be counted or are finite are included in a discrete probability distribution. This differs from a continuous distribution, in which results can occur anywhere along a continuum. The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

That is,

∑P[tex](x_{i} )[/tex]

= 0.19 + 0.3 + 0.51

= 1

The property for a discrete probability distribution is thus satisfied.

So, the probability distribution that is being presented is a discrete probability distribution.

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The given question is incomplete. Completed question is given below;

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −3 4 7 P(X=x) 0.19 0.3 0.51 Answer First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

None of the two graphs in this problem represents proportional relationships, as pairs of (input,output) have different ratios in each case.

A proportional relationship is modeled as follows:

y = kx.

Then the constant is given by:

k = y/x.

A relationship will be proportional only if for all points of the relationship, the constant k assumes the same value.

Two points of the relation between height and days are:

(30,10) and (50,20).

The constants are:

Different constants, hence not proportional.

For the second graph, the different constants are 2/2 and 2/3, as the two points of the second graph on the image at the end of the answer are:

(2,2) and (2,3).

The image presented at the end of the answer give the two graphs in which we verify if they are proportional or not.

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Answer:

20%

Step-by-step explanation:

19 of 95 can be written as:

19/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

19/25  x  100/100

= (19 x 100/95) x 1/100 = 20/100

Therefore, the answer is 20%

If you are using a calculator, simply enter 19÷95×100 which will give you 20 as the answer.

Hope this helped!

Answer: 3000 thousand books were sold

Step-by-step explanation:  

The sampling distributions are used for statistical tets.

Hence,The sampling distributions are used for statistical tets.

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