Sara’s checking account is overdrawn with a balance of -$3.00. She deposits some money into her account so the new balance is $4.50.

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

Answer:

2.56 = 30

b = 12

(Sorry if I’m wrong! I speeded on it.)

Step-by-step explanation:

Answer:

About 57.14285714, or 57 1/7 (400/7)

Step-by-step explanation:

Suppose the answer is x. This would mean that x multiplied by 0.56 (56%) would equal 32. To isolate x, you would have to divide both sides by 0.56, making the answer 32/0.56, or About 57 and 1/7

Answer:

-7.5

Step-by-step explanation:

Answer:

1) y = -8/5x + 8

2) slope = -3

3) x = 4

4) x ≥ 22/3

5) x = 21/16

6) x = 12

Step-by-step explanation:

1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).

This makes your slope 8/-5 which is the same as -8/5

2) The slope is next to the x, so the slope is -3/1 which is -3.

3) Rearrange the equation to y = mx + b.

Firstly, subtract 6x from both sides:

-3y = -6x + 24

Then, divide both sides by -3:

y = 2x - 8

To get the x-intercept, divide the y-intercept (but positive) by the slope.

8/2 = 4

Your x-intercept is 4.

4) Distribute on the terms:

-53 ≥ -9x - 9 + 3x

Combine like terms:

-53 ≥ -6x - 9

Add 9 to both sides:

-44 ≥ -6x

Divide both sides by -6:

44/6 ≤ x

(Inequality flipped because you divide by a negative)

Simplify:

22/3 ≤ x

Flip the inequality:

x ≥ 22/3

5) Multiply both sides by 4:

3x - x/3 = 7/2

Multiply both sides by 3:

9x - x = 21/2

Combine like terms:

8x = 21/2

Divide both sides by 8:

x = 21/16

or

x = 1.3125

6) Combine like terms:

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

Hope this helps!

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

Answer:

6b-8=58

b=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y=2x+1??

Answer:

2x - y = -1

Step-by-step explanation:

hope this helps

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Step-by-step explanation:

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line.

Answer:

[tex]3(x - 1)^2 - 11= 0[/tex]

Step-by-step explanation:

Given

[tex]3x^2 - 6x = 8[/tex]

Required

Rewrite in form of [tex]3(x - p)^2 + q = 0[/tex]

[tex]3x^2 - 6x = 8[/tex]

Subtract 8 from both sides

[tex]3x^2 - 6x - 8 = 8 - 8[/tex]

[tex]3x^2 - 6x - 8 = 0[/tex]

Express -8 as 3 - 11;

So, we have:

[tex]3x^2 - 6x + 3 - 11= 0[/tex]

Expand [tex]3x^2 - 6x + 3[/tex]

[tex]3(x^2 - 2x + 1) - 11= 0[/tex]

Factorize the expression in the bracket;

[tex]3(x^2 - x -x + 1) - 11= 0[/tex]

[tex]3(x(x - 1) -1(x - 1)) - 11= 0[/tex]

[tex]3((x - 1)^2) - 11= 0[/tex]

[tex]3(x - 1)^2 - 11= 0[/tex]

By comparison: [tex]3(x - p)^2 + q = 0[/tex]

[tex]p= 1[/tex]

[tex]q = -11[/tex]

Answer:

The answer is D

Step-by-step explanation:

Hope this helps

please mark as brainlist

Answer:

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]

Answer:

(0,5)

Step-by-step explanation:

you are supposed to take the lowest and highest numbers of the x values and then that would be your domain

Answer:

y-3=2(x-(-4))

Or

y-3=2(x+4)

Step-by-step explanation:

Answer:

1296m^2

Step-by-step explanation:

12m = 1cm per square

3 squares • 3 squares = 36 • 36 = 1296

Hope this helps! :)

Answer:

$ 9698 will be paid paid in interest.            hope this helps.

Step-by-step explanation:

interest= prn/100

i= 21254x9x5.07/100

i= $ 9698.2

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

y= -5/2x+18

Step-by-step explanation:

(Refer to picture)

Just like the last one, use the point-slope formula: y-y1=m(x-x1)

Plug in (8, -2) as y1 and x1

Simplify the equation.

Answer:

The answer is for this question is 5.

Answer:

V= 5 X=6

Step-by-step explanation:

Answer:

i kinda see its test or not?

Step-by-step explanation:

you have to divided it.

Answer:

The values which are added to the table are;

Sea turtles = 1, Jellyfish  = 3

Sea turtles = 4, Jellyfish  = 12

Jellyfish = 24, Sea turtles= 8

Sea turtles = 14, Jellyfish  = 42

Jellyfish = 60, Sea turtles= 20

Step-by-step explanation:

The given parameters are;

The ratio of sea turtles to jellyfish = 4:12

Therefore, the ratio of sea turtles to jellyfish = 1:3

Which gives;

When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes

When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes

When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles

When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes

When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles

The values given in the table can be presented as follows;

Number of Sea Turtles    [tex]{}[/tex]                                          Number of Jellyfish

1                                             [tex]{}[/tex]                                           3

4    [tex]{}[/tex]                                                                                   12

8                                             [tex]{}[/tex]                                          24

14                                              [tex]{}[/tex]                                        42

20                                            [tex]{}[/tex]                                         60

Answer:

X=30

Step-by-step explanation:

The answer is X=30

Step-by-step explanation:

Hey there!

Given;

6x + 13 = 9x - 8

Shift "6x" to right side and "-8" to left side and simplify it to get answer.

13+8 = 9x-6x

21 = 3x

x= 21/3

Therefore, x= 7.

Hope it helps...

Answer:

you have to but it back 2 times

Step-by-step explanation:

ir is because it should be back 2 rimes

Answer:

120.9

Step-by-step explanation:

Pls give Brainliest!

Answer:

20???

Step-by-step explanation: