Marta just started a new job as an engineer. She is given a $9,000 sign on bonus and paid $4,500
per month. Write and solve an equation to determine the number of months that Marta must work
before she earns $27.000.

Answer:

(-1,1)

Step-by-step explanation:

you can solve them simultaneously or by just looking at the point at which the lines are meeting or intersecting

Answer:

(-1,1)

Step-by-step explanation:

Answer:

-17/32

this is the answer I got

Answer:

15cm

Step-by-step explanation:

scale factor =image diatace/object distance

0.75=x/20

0.75×20=x

15=x

: .x=15cm

Answer:D

Step-by-step explanation:

Answer:

D. The population of New York City is more than double the population of Los Angeles.  

Answer:

[tex] \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]let \:the \: multiplicative \: inverse \: be : x \\ then \: \frac{3}{5 } \times x = 1 \\ \frac{3x}{5} = \frac{1}{1} \\ 3x \times 1= 5 \times 1 \\ 3x = 5 \\ x = \frac{5}{3} [/tex]

♨Rage♨

Answer:

a) x=-a, x=a+b

b) x=5/2a, x=1/3b

c) x=1/2a, x=a/a-2

Step-by-step explanation:

a) (x-a)(x-a)-b(x+a)=0

   (x+a)(x-a-b)=0

   x=-a, x=a+b

b) 3x(2x-5a)-b(2x-5a)=0

   (2x-5a)(3x-b)=0

   x=5/2a, x=1/3b

c) (2a-4)x^2=a^2(x-1)

   (2x-a)(ax-2x-a)=0

Answer:

the answer is undefined

Step-by-step explanation:

If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.

Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

116

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360 degrees, so:

79+55+110+x=360

244+x=360

x=116

Answer:

3.058s

Step-by-step explanation:

i cant rewrite everything i solve in the paper sorry

Step-by-step explanation:

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

Step-by-step explanation:

P = 2(L + B ), but L = B + 5. so,

P = 2(B+ 5 + B ), B = 16 & L = 21.

Answer:

0.4207

Step-by-step explanation:

Determine z-score

[tex]z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}\\ \\z=\frac{52-50}{10/\sqrt{70}}\\ \\z\approx1.6733[/tex]

Find P(Z>1.6733)

[tex]P(Z > 1.6733)=normalcdf(1.6733,\infty)\approx0.4207[/tex]

Therefore, the probability that the mean stress level for a sample of 70 employees will fall above 52 is 0.4207

6 - 23 + (-9+5) * 2

-17 + (-4)*2

-17 + (-8)

-17 - 8

-25

Answer:

-25

Step-by-step explanation:

follow the order for pemdas which is (parenthesis,exponent,multiplication/division, and then addition/subtraction)

Answer:

Step-by-step explanation:

Answer:

Therefore, there 16 chances of getting a spade OR a five.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line with the slope 0 is horizontal line, so the equation is

y = 2

Answer:

50° for angle FEG

Step-by-step explanation:

Following the Verticle Angles Theorem, the angle on the other side of 140 must also be 140. Since it is split up and we know one of them is a right angle, we must subtract 90 from 140.

140 - 90 = 50.

Thus, angle FEG is 50°.

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

15b

10 balls...........200

15 balls.......... = 15x200 : 10 = 300

Rs 300 for 15 balls

Answer:

B. angle 2

Step-by-step explanation:

Angle 2 is opposite to the 110 degrees, and opposite angles are congruent
Hope this helps :)

Answer:

The tower itself is 300 metres (984 feet) high. It rests on a base that is 5 metres (17 feet) high, and a television antenna atop the tower gives it a total elevation of 324 metres (1,063 feet).

Answer:

Procedures:

1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.

2.) The GCF of an exponent is the least value.

ANSWER: 12a² and 38a⁴b²

GCF = 2a²

Factored Form = 2a²(3+19a²b²)

Answer:

$189.43

Step-by-step explanation:

P = regular price

65% as a decimal = [tex]\frac{65}{100}[/tex] = .65

Discount = .65

To get the amount of the discount we would multiply P * .65

To find the sale price we subtract the discount from the original price.

Now we write our equation:

P - P(.65) = $66.30  

Solve for P

P - P(.65) = $66.30  

1P - P(.65) = $66.30  

1P - .65P = $66.30  

.35P = 66.30   Divide each side by .35

.35P.35 = 66.30/.35

P = 66.30/.35

P ≈ $189.43

[tex]x + y = 90[/tex]

[tex]x = 3y[/tex]

[tex]3y + y = 90[/tex]

[tex]4y = 90[/tex]

[tex]y = 15[/tex]

[tex]x = 3(15) = 45[/tex]

Answer:

45 °

Step-by-step explanation:

Knowing that:

Supplementary Angle = 180 °

Angle x is 3 time the measure of angle y.

Solve:

Equation below:

x + y = 180

x = 3y

Substitute

3y + y =180

4y = 180

Divide both sides by 4

4y/4 = 180/4

y = 45

Value of x:

x = 3 × 45

x = 135

Therefore the measure of angle x is 135.

x = 45

y = 135

~Lenvy~

Answer:

D

Step-by-step explanation:

0.05 is equivalent to 5%

Hope that helps!

Step-by-step explanation:

4/5x-3=3/10x+7

We move all terms to the left:

4/5x-3-(3/10x+7)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

Domain of the equation: 10x+7)!=0

x∈R

We get rid of parentheses

4/5x-3/10x-7-3=0

We calculate fractions

40x/50x^2+(-15x)/50x^2-7-3=0

We add all the numbers together, and all the variables

40x/50x^2+(-15x)/50x^2-10=0

We multiply all the terms by the denominator

40x+(-15x)-10*50x^2=0

Wy multiply elements

-500x^2+40x+(-15x)=0

We get rid of parentheses

-500x^2+40x-15x=0

We add all the numbers together, and all the variables

-500x^2+25x=0

a = -500; b = 25; c = 0;

Δ = b2-4ac

Δ = 252-4·(-500)·0

Δ = 625

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=625−−−√=25

x1=−b−Δ√2a=−(25)−252∗−500=−50−1000=1/20

x2=−b+Δ√2a=−(25)+252∗−500=0−1000=0