Solve x2 - 16x + 60 = -12 by completing the steps.

First, subtract [?] from each side of the equation.
what is [?]

Answer:

No possible solution

Step-by-step explanation:

Let:

Shirt = x

Pant = y

x + y = 9 - - - - - - - - - (1)

38x + 38y = 222 - - - (2)

From (1):

y = 9 - x

Put y = 9 - x in (2)

38x + 38(9 - x) = 222

38x + 342 - 38x = 222

Based on the Given parameters, we can conclude that the equation does not have a possible solution.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

11/12 - 5/8 =  ? Make the denominator the same (multiply the first term by 2 and the second term by 3).

22/24 - 15/24 = ? Just simplify/solve. 22-15=7.

7/24

OPTION A = 7/24

Answer:

2. and 4.

Step-by-step explanation:

Answer:

A lot of 128 pages are printed after 3 minutes.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Multiply the top equation by -3 and the bottom equation by 2.

Answer:

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]

Hence, ption B is true.

Step-by-step explanation:

Given the expression

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]

solving the expression

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]

as

[tex]\sqrt{x^2y^3}=xy\sqrt{y}[/tex]

[tex]2\sqrt{x^3y^4}=2xy^2\sqrt{x}[/tex]

so the expression becomes

[tex]\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}[/tex]

Group like terms

                                        [tex]=2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}[/tex]

Add similar elements

                                        [tex]=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]

Therefore, we conclude that:

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]

Hence, option B is true.

Answer:

b

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

Answer:

All real numbers of x.

Step-by-step explanation:

5x+10=5(x+2) have the exact same equations on both sides.

5x+10=5x+10

If both are graphed, they will intersect each other for every value of x.

Answer:

here's the answer,

Step-by-step explanation:

by solving it we get ;

5x + 10 = 5 (x + 2)

5x + 10 = 5x + 10

hence , L.H.S = R.H.S

proved ..

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

Answer:

1.116071429

Step-by-step explanation:

This is an irrational number, but if you round it, it should be about 1 or 1.12. You can put this in the calculator btw :)

Answer: 2J - 5

Step-by-step explanation:

The number of cards that Jacob has = J

Melissa has 5 fewer cards than Jacob. Melissa card will be: = J - 5

The expression that shows the number of cards they have together will be gotten by adding their cards together. This will be:

= J + (J - 5)

= J + J - 5

= 2J - 5

Answer:

O1: b) linear, proportional

O2: a) linear, non-proportional

O3: c) nonlinear

Step-by-step explanation:

Recall that a proportional function can be drawn as a straight line (linear function) through the origin (0,0).

O1 is a proportional function since it is linear and goes through the origin.

O2 has a y-intercept of y = 5; therefore, it is not proportional because it does not go through the origin (0,0), although it is linear.

O3 resembles a quadratic function, which means it's not a linear function (nonlinear).

Answer:

B

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Answer: 8%

Step-by-step explanation:

Original Perimeter of the rectangle is:

= 2 * ( Length * Width)

= 2 * (20 + 30)

= 100 cm

The length increased by 10%. It therefore increased to:

= 30 * ( 1 + 10%)

= 30 * 1.1

= 33 cm

The width increased by 5%. It increased to:

= 20 * ( 1 + 5%)

= 21 cm

New Perimeter is therefore:

= 2 * ( 33 + 21)

= 108 cm

Percentage increase in perimeter is:

= (New perimeter - old) / old perimeter

= (108 - 100) / 100

= 8%

Answer:

y = 5/4x + 10

Step-by-step explanation:

First, we need to use point-slope form which is:

y - y₁ = m(x - x₁)

Now, we substitute the numbers:

y - 5 = 5/4(x - (-4))

y - 5 = 5/4(x + 4)

y - 5 = 5/4x + 5

y = 5/4x + 10

You can check by substituting the points into the equation:

5 = 5/4(-4) + 10

5 = -5 + 10

5 = 5

x=9/34 that's the answer

Answer: #3

Step-by-step explanation:

Answer:

A. Always positive

Step-by-step explanation:

Answer:

The slope of y= 1/2x-7 is always positive.

Step-by-step explanation:

[tex]y = mx + c \\ y = \frac{1}{2} x - 7 \\ \boxed{slope = \frac{1}{2}} \: which \: is \:always \: positive.[/tex]

Answer:

x=-1

Step-by-step explanation:

4(x-3(-2))=6(x-3(-2)) => 4(x+6)=6(x+6) => 4x+24=6x+26 => -2=2x => x=-1

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

[tex]f(x) = -16t^2 + 64t + 960[/tex] .....(1)

When it will hit the ground, f(x) = 0

[tex]-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0[/tex]

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

[tex]-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]

Put t = 2 in equation (1)

[tex]f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}[/tex]

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Answer:

Abraham

Step-by-step explanation:

Abraham used the correct equation because if we represent the original size as 100% and decrease that by 20 it would be 80% or 0.8

Nasser's equation will solve for the change in price

Kathleen's equation solves for if the popcorn size was increased by 20%

Answer:

nasser

Step-by-step explanation:

0.20 = 20/100=20%

Answer:

Step-by-step explanation:

Answer:

i think it would be A

Step-by-step explanation:

Answer:

B 30

Step-by-step explanation:

The answer is B :)

Answer:

$275

Step-by-step explanation:

30% + 15%=45%

45% of 500 is 225, because 500 x 0.45=225. Then subtract the discount from the total, 500 - 225, and you get 275

Answer:a,cd,and h

Step-by-step explanation: