A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, for a repair that takes x hours.
y=45x+75
What is the meaning of the y-intercept of the equation?
A.It means the technician charges a fixed amount of $45 for the repair
B.It means the technician charges a fixed amount of $75 for the repair.
C. It means the technician charges $45 per hour for the repair.
D.It means the technician charges $75 per hour for the repair.

Answer:

                 √33

x = -5/2 ± ---------

                     2

Step-by-step explanation:

Through completing the square, we get:

x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or

(x + 5/2)^2 - 25/4 - 2 = 0.

This simplifies to

(x + 5/2)^2 = 33/4

Taking the square root of both sides yields:

x + 5/2 = ±√(33/4), which can be solved explicityl for x:

                 √33

x = -5/2 ± ---------

                     2

Answer:

if they vary together then y would be 2

Step-by-step explanation:

since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

Answer:

x = 29/20 or x = 1.45

Step-by-step explanation:

6/x + 5/(4x) = 5

Multiply all terms by x and cancel.

6 + 5/4 = 5x

Combine terms on the left side of the equation.

29/4 = 5x

Divide both sides by 5.

29/4/5 = (5x)/5

29/20 = x

Answer:

Step-by-step explanation:

[tex] \frac{6}{x} + \frac{5}{4x} = 5[/tex]

Multiply through by the LCM

The LCM of x and 4x is 4x

So we have

[tex] {4x} \times \frac{6}{x} + {4x} \times \frac{5}{4x} = 5 \times {4x} \\ \\ 24 + 5 = 20x \\ \\ 20x = 29 \\ \\ x = \frac{29}{20} \: \: \: or \: \: \: 1 \frac{9}{20} [/tex]

Hope this helps you

Answer:

The answer is 16.

Step-by-step explanation:

First, you have to make the equation into 0 by moving all the terms to one side :

[tex] - 3 = - {x}^{2} + 2x[/tex]

[tex] {x}^{2} - 2x - 3 = 0[/tex]

Next, you have to apply Discriminant Law, D = b² - 4ac :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: a = 1 \: , \: b = - 2 \: , \: c = - 3[/tex]

[tex]D = {( - 2)}^{2} - 4(1)( - 3)[/tex]

[tex]D = 4 + 12[/tex]

[tex]D = 16[/tex]

Answer:

This indicates that the point of intersection is: (8,-6)

Step-by-step explanation:

The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.

The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.

In this case you have y=14−2.5x and y=1.5x−18

Equating the equations you get:

14-2.5x=1.5x-18

Solving:

14+18=1.5x+2.5x

32=4x

32÷4=x

x=8

Replacing in both equations: y=14-2.5*8=-6

y=1.5*8-18=-6

This indicates that the point of intersection is: (8,-6)

The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18

Answer:

36 and 24

Step-by-step explanation:

Answer:

Part a : 20 units², Part d : 12 units²

Step-by-step explanation:

We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.

Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,

Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,

4 [tex]*[/tex] 4 = 16 units²

Area of inscribed Square = 36 units² - 16 units² = 20 units²

For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,

Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,

Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,

12 [tex]*[/tex] 2 = 24 units²

Area of inscribed shape = 36 units² - 24 units² = 12 units²

Answer:

C.

Step-by-step explanation:

Well if 1 is blue and 2 is tan and 3 is blue and across from 1.

Then 4 will be tan because it is across from 2 which is tan.

C.

Answer:

C

Step-by-step explanation:

It goes blue, blue pink, blue pink blue, so according to the pattern the next would be pink.

p.s. thank you so much for all the points!!!!! Like the other answer said brainliest is always appreciated. Here I am, question #2. You can award it to them now 8-D

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

Answer:

A

Step-by-step explanation:

Answer:

132 tiles

Step-by-step explanation:

We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.

Answer:

Yes, it is an exponential function. The base is 2.

Step-by-step explanation:

As you can see, the function is f(x) = 2^(2x).

Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.

The base is 2 because 2x, the exponent, is applied to it.

---

I hope this helps, let me know if you have any questions.

Answer:

Connect every other intersection of an arc and the circle with a segment.

Step-by-step explanation:

Connect every other intersection of an arc and the circle with a segment.

Answer:

a) Connect every other intersection of an arc and the circle with a segment.

b) Connect the intersections of the diameters and the circle with a segment.

c) Connect every intersection of an arc and the circle with a segment.

d) Connect the intersections of the perpendicular bisector and the circle with a segment

HOPE THIS HELPS :)

Answer:

The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.

Step-by-step explanation:

In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

Answer:

10

Step-by-step explanation:

This triangle is divided into 2 identical rigth triangles.

We will use the pythagorian theorem:

●8^2+ (12/2)^2 =x^2

● 64 + 36 = x^2

● x= 10

So x is 10

Answer:

[tex]\Large \boxed{(x+4)(x-1)}[/tex]

Step-by-step explanation:

Hello,

[tex]x^2+3x-4\\\\\text{*** The product of the zeroes is -4=-1*4 and their sum is -3=-4+1. ***}\\\\\text{*** So we can factorise. ***}\\\\x^2+3x-4=x^2-x+4x-4=x(x-1)+4(x-1)=\large \boxed{(x+4)(x-1)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The factors of given function are (x + 4) and (x - 1)

To undestand more, check below explanation.

The modeled for algebra tiles is given as,

                 [tex]f(x)=x^{2} +3x-4[/tex]

We have to find the factors of given function.

Factoring means finding expressions that can be multiplied together to give the given equation.

If a quadratic equation can be factored, it is written as a product of linear terms.

            [tex]f(x)=x^{2} +3x-4\\\\f(x)=x^{2} +4x-x-4\\\\f(x)=x(x+4)-1(x+4)\\\\f(x)=(x+4)(x-1)[/tex]

Hence, the factors of given function are (x + 4) and (x - 1)

Learn more about the factors here:

https://brainly.com/question/25829061

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

3244.5

Step-by-step explanation:

LxW=A

1 blue paper chain and 2 red paper chains

Answer:

1 blue paper chains and 2 red

Step-by-step explanation:

becuase 4 plus 3 plus 3 is 10

Answer:

3

Step-by-step explanation:

(x+(×+12)=(×+4×+14)-3

×+×+12=×+4×+14-3

2×+12=5×-2×

+12-11=5×-2×

-1=3×

Answer:

Hey there!

96 correct/120 total= 4 correct/5 total.

Thus, the student had 0.8 of the answers correct, or 80% of them

Hope this helps :)

Answer:

please mark me as the brainliest

Step-by-step explanation:

80%

Answer:

f(30) represents the total cost when the car is driven 30 miles

Step-by-step explanation:

f(30) is the y value when x= 30

Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.

We solve this by plugging 30 in for x:

f(30)= 90 + 0.11(30)

f(30)= 90 + 3.3

f(30)= 93.3

Thus, renting a car for a day and driving it 30 miles costs $93.30

Answer:

The 6 lemons for 2.50 is the better deal.

Step-by-step explanation:

2*3=6

3*0.99=2.97

2.97>2.50

Answer:

15/32

Step-by-step explanation:

5/8 ÷ 1 1/3

Change to an improper fraction

5/8 ÷ ( 3*1+1)/3

5/8 ÷ 4/3

Copy dot flip

5/8 * 3/4

15/32

Answer:

C. 3.98 x 10^4

Step-by-step explanation:

We are only allowed one non zero digit before the decimal

A. 398 x 10^1   3 non zero digits

B. 39.8 x 10^2   2 non zero digits

C. 3.98 x 10^4 1 non zero digit

D. .398 x 10^3  0 non zero digits

Answer:

1 and 3.

Step-by-step explanation:

The given system of equations

[tex]2x-7y=-13[/tex]     ...(1)

[tex]-2x+11y=1[/tex]     ... (2)

Here, coefficients of x have same values with opposite signs.

The x-variable will be eliminated when adding the system of equations.

Add (1) and (2), we get

[tex]2x-7y-2x+11y=-13+1[/tex]

[tex]4y=-12[/tex]

Divide both sides by 4.

[tex]y=-3[/tex]

Put y=-3 in (1).

[tex]2x-7(-3)=-13[/tex]

[tex]2x+21=-13[/tex]

[tex]2x=-13-21[/tex]

[tex]2x=-34[/tex]

Divide both sides by 2.

[tex]x=-17[/tex]

So, the given system of equations have unique solution, i.e., (-17,-3).

Therefore, the correct options are 1 and 3.

Answer:The set of possible values for the independent variable is called the domain. Similarly, there are constraints on the values for any dependent variable. ... Graphs of functions are traditionally drawn with the independent variable on the horizontal axis and the dependent variable on the vertical axis.

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

If a square root is not a perfect square, then it is considered an irrational number.

The square root of the number 34 is not a rational number

From the question, we have the following parameters that can be used in our computation:

The square root of the number 34

When evaluated, we have

The square root of the number 34 = √34

So, we have

The square root of the number 34 = 5.83.....

The above number cannot be represented by the quotient of 2 integers

Using the above as a guide, we have the following:

We can conclude that the number is an irrational number

Read more about rational number at

brainly.com/question/22221295

#SPJ6

Answer:

D

Step-by-step explanation:

2/5 is 40%, so we need to find 40% of 25. .40 x 25 = 10. We see that 31 - 40 has 8 values and 41 to 50 has to, and 8 + 2 = 10, so our answer is D.

Answer: A

Step-by-step explanation:

Divide each total by 5 to get 5, 200, 20, 2.50.  $5 per value meal is the most fair price.

Hope it helps <3

If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.

B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable

C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal

D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.

Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.

Learn more about the unitary method;

https://brainly.com/question/23423168

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Answer:

2 and -2

Step-by-step explanation:

● 7q^2 -28 = 0

Add 28 to both sides

● 7q^2-28+28 = 28

● 7q^2 = 28

Divide both sides by 7

●7q^2/7 = 28/7

● q^2 = 4

You can write directly q= 2 or q= -2

To understand it use the absolute value.

● |q| = 2

● q = 2 or q = -2

The solutions are {2, -2}