Complete the square in the following quadratic equation

Answer:

[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]

Step-by-step explanation:

volume of the right rectangular prism

[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]

Answer: The volume is 148 3/4 in3.

Step-by-step explanation:

V= l*w*h      

V= 10* 4 1/4* 3 1/2

V= 148 3/4

Answer:

adjacent

Step-by-step explanation:

Answer: 2.90 acres.

Step-by-step explanation:

1.45x2 or 1.45 + 1.45  

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Answer:

that would be 6

x = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

C(16, 4)   = 1820 ways

16

   C

     4                    = (16x15x14x13)  /  (4x3x2x1)

Answer:

the answer is c

Step-by-step explanation:

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation is y = x² + 7x.

We can determine the values of a, b, and c by comparing the equation to the standard form of a quadratic equation,

which is y = ax² + bx + c.

In this case,

a = 1, b = 7, and c = 0.

To determine the direction in which the parabola opens, we can look at the coefficient of the x² term, which is a.

Since a is positive, the parabola opens upwards.

The y-intercept is the point where the parabola intersects the y-axis.

To find it, we can set x = 0 in the equation:

y = 0² + 7(0) = 0

So the y-intercept is (0,0).

Thus,

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

Learn more about equations here:

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Answer:

i really dont know but i hope you get it right good luck

Step-by-step explanation:

Answer:

1. [tex]\frac{3}{8}[/tex]

2. [tex]\frac{1}{4}[/tex]

3a. [tex]-\frac{1}{4}[/tex]

3b. 3

3c. [tex]-\frac{4}{5}[/tex]

4. [tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

Step-by-step explanation:

1.

Rises 6 inches for every horizontal change of 16 inches

Slope = rise/run

Slope = 6/16

Slope = 3/8

2.

Rises 3 feet for every horizontal change of 12 feet

Slope = rise/run

Slope = 3/12

Slope = 1/4

3a.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}[/tex]

[tex]m = \frac{3-2}{-2-2}[/tex]

[tex]m = \frac{1}{-4}[/tex]

[tex]m = -\frac{1}{4}[/tex]

3b.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

[tex]m = \frac{-1 - 2}{-1-0}[/tex]

[tex]m = \frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

3c.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

[tex]m = \frac{1 - (-3)}{-1-4}\\[/tex]

[tex]m = \frac{4}{-5}\\[/tex]

[tex]m = -\frac{4}{5}[/tex]

4.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

Answer:

q=3

Step-by-step explanation:

315=390-25q

390-25q=315

390-25q-390=315-390

-25q=-75

Divide both sides by 25

q=3

Answer: q = 3

Step-by-step explanation:

315 = 390 - 25Q  

1. Minus 390 from both sides

-75 = =-25q

2. Divde both sides by -25 to get q by itself

3 = q or  q = 3

Step-by-step explanation:

measure all the sides then multiply you will get the answer

Answer:

y = 29

Step-by-step explanation:

x/2 + 3 = y/3 - 2

28/3 ÷ 2 = 14/3

14/3 + 9/3 = y/3 - 6/3

23/3 + 6/3 = y/3

29/3 = y/3  ∴ y = 29

Answer:

lol the is no equation there to solve

Answer:

5

Step-by-step explanation:

yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5

Answer:

We conclude that the mean age of average viewer has changed

Step-by-step explanation:

H0 : μ = 43

H1 : μ > 43

The test statistic :

(xbar - μ) ÷ σ/sqrt(n)

Sample size, n = 100

xbar = 45 ; σ = 5

Test statistic :

(45 - 43) ÷ 5/sqrt(100)

2 ÷ 0.5 = 4

The Pvalue :

P(Z < 4) = 0.000032

Pvalue < α

0.000032 < 0.05 ; Hence, we reject the Null

We conclude that the mean age of average viewer has changed

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Answer:

1/5 or .20 or 20% (same answer in different formats!)

Step-by-step explanation:

Subtract 1/2 from 7/10

make the denominators the same, so 7/10 - 5/10. You get 2/10 or 1/5.

Answer:

B

Step-by-step explanation:

Hope I helped! I tried my best.

Answer:

B

Step-by-step explanation:

Answer:

2362 ...........................

Answer:

64.80

Step-by-step explanation:

Answer:

y = -15

Step-by-step explanation:

Given that,

y varies directly as x i.e.

[tex]y\propto x\\\\y=kx[/tex]

Where

k is the constant of variation.

Put y = 12 and x = 4 to find k.

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]

Now put k = 3 and x = -5 and finding the value of y.

[tex]y=3\times -5\\\\y=-15[/tex]

So, the value of y is equal to -15.

Answer:

Friend C would be 20 years old

Step-by-step explanation:

Consecutive integers are integers that follow each other

In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:

A + B + C = 57

If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:

A + (A + 1) + (A + 2) = 57

3A + 3 = 57

3A = 54

A = 18

So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.

Answer:

20 years old

Step-by-step explanation:

3x + 3 = 57

3x = 54

x = 18

X + 2 = 18 + 2

Answer = 20 years old

Answer:

I think 3lb is greater

Step-by-step explanation:

Answer:

3. The answer is B: 315 dm³

4. It is A: 47,786 2/3 ft³

Step-by-step explanation:

3.I multiplied Length x Width x Height and then divided by 3

4. I did 64 to the second power and then multiplied it by 35/3