Solve x2 + 14x = −24 by completing the square.

What is the solution set of the equation?

Answer:

$ 1.25/m

Step-by-step explanation:

5 m ............. $ 6.25

1 m .............. $ x

x = 1×6.25/5 = 6.25 : 5 = $ 1.25/m

Answer:

I think the answer is 34

Answer:

its $6

Step-by-step explanation:

the nearest tenth it 40, and the you ask google what 15% of 40 is.

Answer: Emmet bought 94 more cans of cat food than dog food.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 × 10 = 100 Cans of cat food

3 x 2 = 6 Cans of Dog food

Total cat food - Total dog food

100 - 6

94 Cans of cat food

Answer: The answer is x=9

(PLEASE VOTE ME BRAINLIEST. I NEED TO LEVEL UP LOL)

Answer:

$62.50

Step-by-step explanation:

The original price is x

It is marked up 40 percent

x+.40x = new price

1.40x = new price

The new price is 87.50

1.40x = 87.50

Divide each side by 1.40

1.40x/1.40 = 87.50/1.40

x =62.50

The price before mark up is 62.50

Answer:

$62.50

Step-by-step explanation:

After mark up, price is

100 + 40 = 140% of cost

140/100 × Cost = 87.50

Cost = 87.50 × 100/140

Cost = $62.50

You're 42. 42-21=21 and 21x2=42.

The current age of your is 42 years old.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

In other words, an equation is a set of variables that are constrained through a situation or case.

To form an equation we must know the constraint of that condition,

For example x < 5 is a constraint.

Another example of a constraint is;

7x + 3y = 8 like that

Let say

Your age is  = x

21 year ago your age were = x - 21

Now it was half the age x so,

x - 21 = (1/2)x

2x - 42 = x

x = 42

So your current age will be 42 years old.

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Here is the explicit formula for the arithmetic sequence: an = 500 + 50(n - 1)

where:

an is the amount of money Elian receives in week n

500 is the first payment

50 is the common difference

n is the week number (1-indexed)

For example, in week 2, Elian will receive $550 because 500+50(2−1)=550.

The formula is in simplified form because the common difference is a simple integer

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Answer:

1. A polygon is a plane figure with at least three sides and angles. It mus be closed and have straight lines.

Polygon: Square

Not a polygon: Circle

2. same, same

Step-by-step explanation:

answer:

a plane figure with at least three straight sides and angles, and typically five or more.

2. congruent figures have same size and the same shape

hope it helps

Answer:

3) 9x5=45

4) 15x8=120

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) the area for formula is length * width

4)

hope this helps :D

Answer:

2+2 is 4

Step-by-step explanation:

-1 is 3 quick maths

Answer:

TS = 11.

Step-by-step explanation:

Consider triangles UTO and UCS.

m < C = m < UTO (Given)

< U is common to both triangles.

Therefore triangles UTO and OCS are similar.

So  corresponding sides are in the same ratio and:

5 / (TS + 4) = 4/ (7+5)

5 * (7 + 5) = 4(TS + 4)

TS + 4 =   5*12 / 4

TS + 4 = 15

TS = 11.

Answer:

Cholula

Step-by-step explanation:

first find the vlumes of the different pyramids:

FORMULA:

volume = (1/3) * basearea

Cholula- 157,583,664

Cheops- 91,204,000

Answer:

The Cholula Pyramid has a greater volume.

Step-by-step explanation:

volume = (1/3) * area of base * height

In both cases, the base is a square, so the area of the base is (side)^2

volume = (1/3) * (side)^2 * height

Cholula Pyramid:

volume = (1/3) * (side)^2 * height

volume = (1/3) * (1476 ft)^2 * 217 ft

volume = 157,583,664 ft^3

Cheops Pyramid:

volume = (1/3) * (side)^2 * height

volume = (1/3) * (755 ft)^2 * 480 ft

volume = 91,204,000 ft^3

The Cholula Pyramid has a greater volume.

Answer:$9.3 is the bars and the rest is the apples

Step-by-step explanation:because you take away from the bars than what is left is the apples.

The difference in price between a cliff bar and an apple is $0.50.

To determine the difference in price between a cliff bar and an apple, we must create two equations based on the information provided:

8C + 4A = 12.40 (equation 1 for the Kendall family)

15C + 9A = 24.30 (equation 2 for the Smith family)

We can solve these equations using substitution or elimination. Let's use the elimination method:

Multiply equation 1 by 2 to get 16C + 8A = 24.80 (equation 3).

Subtract equation 3 from equation 2: (15C + 9A) - (16C + 8A) = 24.30 - 24.80 which gives us -C + A = -0.50.

From this simplified equation, we gather that the price difference between a cliff bar and an apple is $0.50.

Therefore, the difference in price between a cliff bar and an apple is $0.50.

Answer:

(- 2, 5 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ), thus

(5, - 2 ) → (- 2, 5 )

Answer:

That would be -5, -2

Step-by-step explanation:

Answer:

75 gallons of water

180 gallons of premium anti-freeze

Step-by-step explanation:

X + Y = 255

X = 255 - Y

0.85Y = 0.6(255)

0.85Y = 153

Y = 180

X = 255 - 180

X = 75

Answer:

l = 14 ft

Step-by-step explanation:

S = 112π ft²

πrl = 112π

π*8*l = 112π

[tex]l=\frac{112*\pi}{\pi*8}\\\\l=\frac{112}{8}\\\\[/tex]

l = 14 ft

Final answer:

Given a sphere with a volume of 904.78 cm3, we find the radius to be approximately 6.13 cm, and the area of the largest cross-section, a circle, turns out to be approximately 118.08 cm2.

Explanation:

If the sphere has a volume of approximately 904.78 cm3, we can start by calculating the radius of the sphere using the volume formula for a sphere:

V = (4/3)πr3

Solving for r:

r = &Sqrt[3]{(3V)/(4π)} = &Sqrt[3]{(3×904.78 cm3)/(4π)} ≈ 6.13 cm

The largest cross-section of the sphere will be a circle with the diameter equal to the diameter of the sphere, hence the area A of this circle will be:

A = πr2 = π×(6.13 cm)2 ≈ 118.08 cm2

Therefore, the approximate area of the largest cross-section of the sphere is 118.08 cm2, which is not listed among the provided options, implying a possible typo or error in the options. Option closest to the calculated area is B) 113.1 cm2.

Answer:

3:5

Step-by-step explanation:

We are given that

Basket player attempted basket=15

He makes number of attempted basket=9

We have to find the ratio which describes the number of baskets the player made to the number of baskets to play attempted.

[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{9}{15}[/tex]

[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{3}{5}[/tex]

Hence, the ration which describes the  number of baskets the player made to the number of baskets to play attempted=3:5

Answer:

3:5

Step-by-step explanation:

Answer: -x^2+3x+7

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Answer:

x = -2.5 or -5/2

Step-by-step explanation:

1. Solve

2x = 3x + 10/4

-x = 10/4

x = -10/4

x = -2.5

2. Check Answer

2( -2.5) = 3( -2.5) + 10/4

- 5 = - 7.5 + 10/4

-5 = -5

Answer:

x = -10/4

Step-by-step explanation:

[tex]2x - \frac{10}{4} = 3x \\ 2x - 3x = \frac{10}{4} \\ - x = \frac{10}{4} \\ x = - \frac{10}{4} [/tex]

Answer: C

Step-by-step explanation:

The arc length, s, equals the radius, r, times the central angle, θ, given in radians. (In shorthand, s=r⋅θ.) If r=5 cm and θ=6 radians, the arc length is 5 cm⋅6=30 cm. If r=7 cm and θ=5 radians, the arc length is 7 cm⋅5=35 cm. If r=9 cm and θ=4 radians, the arc length is 9 cm⋅4=36 cm. An angle of 180∘ is π radians, or about 3.14. If r=10 cm, the arc length is 10 cm⋅3.14=31.4 cm. Of these choices, the longest arc is 36 cm.

The most likely reason for Gerald feeling this way is because his red blood cell count is low.

Based on the information given, it was stated that Gerald is lightheaded and tired from a lack of oxygen in his tissues.

It should be noted that the reason why he'll be lightheaded and tired from a lack of oxygen in his tissues is that his red blood cell count is low. This will make him dizzy sometimes too.

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Answer:  The ceiling is 10 feet high.

Step-by-step explanation: the light source is 7 feet, and the ceiling is 10.

A is the correct answer.

Answer:

8

Step-by-step explanation:

Answer:

1, 2, 4, 8. 8 is the greatest common factor.

Step-by-step explanation:

Find factors of both.

24:  1, 2, 3, 4, 6, 8, 12, 24

136: 1, 2, 4, 8, 17, 34, 68, 136

Find common numbers.

24:  1, 2, 3, 4, 6, 8, 12, 24

136: 1, 2, 4, 8, 17, 34, 68, 136

Factors are 1, 2, 4, and 8.

Answer:

140/3

Step-by-step explanation:

(28/3)*5

140/3

Answer:

Y=4X-1/2

Step-by-step explanation:

You must isolate the variable by dividing each side by factors that dont contain variables.

Answer:

y = 4x - 1/2

Step-by-step explanation:

2y + 1 − x = 7x

2y = 7x + x - 1

2y = 8x - 1

y = (8x - 1)/2

y = 4x - 1/2