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3 years ago

Algebra 1

Mathematics

2 answers:

AveGali [126]3 years ago

6 0

Answer:

$416.60

Step-by-step explanation:

In this question the expression is given in the form of a regression line given: profit = 372.6 + 17.2×(advertising dollars)

We have to find the residual value for the advertising dollars spent

= $1,020 and profit = $17,500

We will calculate the profit for advertising dollars = $1,020

Profit = 372.6 + 17.2×(1020)

= 372.6 + 17544

= $17,916.6

But the profit is $17,500 so the difference in amount will be residual value

Residual value = 17,916.6 - 17,500 = $416.60

The value of residual is $416.60.

yuradex [85]3 years ago

3 0

Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation.
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

17,916.60 - 17,500 = 416.60 residual value

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Answer right or brainliest

Westkost [7]

Area of triangle:
1/2 • b • h = 1/2 • 12 • 6 = 36

Area of square:
l • w = 12 • 12 = 144

144 ÷ 36 = 4 squares

3 0

3 years ago

A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material t

Nat2105 [25]

Answer:

Length of the rectangle = 9.58 feet and width = 27.14 foot

Step-by-step explanation:

Let the length of the rectangular area is = x feet

and the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 260

y = $\frac{260}{x}$ -------(1)

Cost to fence the three sides = $3 per foot

Therefore cost to fence one length and two width of the rectangular area

= 3(x + 2y)

Similarly cost to fence the fourth side = $14 per foot

So, the cost of the remaining length = 14x

Total cost to fence = 3(x + 2y) + 14x

Cost (C) = 3(x + 2y) + 14x

C = 3x + 6y + 14x

= 17x + 6y

From equation (1)

C = $17x+\frac{260\times 6}{x}$

Now we take the derivative,

C' = 17 - $\frac{1560}{x^{2} }$

To minimize the cost of fencing,

C' = 0

17 - $\frac{1560}{x^{2} }$ = 0

$\frac{1560}{x^{2} }$ = 17

$x^{2} =\frac{1560}{17}$

$x=\sqrt{\frac{1560}{17} }$

x = 9.58 foot

and y = $\frac{260}{9.58}$

y = 27.14 foot

4 0

3 years ago

Plz help i need answer ASAP

Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3>Reading the graph!</h3>

The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Intercepts:</h3>

When a line meets both the axes (x-axis and y-axis), it forms intercepts.

There are two types of intercepts:

x-intercept (when the line meets the x-axis)
y-intercept (when the line meets the y-axis)

Each of their length is equal to their distance from the Origin(0, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Equation of a line (intercept form):</h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

$\boxed{ \mathsf{ \frac{x}{a} + \frac{y}{b} = 1 }}$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Equation of the line in question:</h3>

x-intercept (a) = -1
y-intercept (b) = 2

$\implies \mathsf{ \frac{x}{( - 1)} + \frac{y}{2} = 1 }$

The sign of the denominator is taken by the numerator:

$\implies \mathsf{ - \frac{x}{1} + \frac{y}{2} = 1 }$

Taking LCM:

$\implies \mathsf{ \frac{ - 2x + y}{ 2} = 1 }$

Cross multiplying:

$\implies \mathsf{ - 2x + y = 2 }$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Isolating y:

$\implies \mathsf{ \underline{ y = 2 + 2x }}$

That's the equation of the given line!

6 0

3 years ago

George wants to buy a new bike, which costs $280. So far, he has earned $56. What percent of the total price has he already earn

Katarina [22]

Answer:

20%

Step-by-step explanation:

56÷280=0.2

0.2×100=20

Formula: ÷ numerator by denominator. Then multiply what you got by 100.

Can I please have Brainliest?

4 0

3 years ago

Factorise: 3x3-3x2y+xy2-x2y

qaws [65]

$3x^3-3x^2y+xy^2-x^2y$

All terms have an x in them, so you factor that out first to get

$x(3x^2 -4xy+y^2)$

Now the 2nd degree equation will be of the form (3x- ... y)(x- ... y) and by just trying you find that the ... is just 1. So the factorization is:

$x(3x - y)(x - y)$

5 0

4 years ago