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2 years ago

Given the equation below, which of the following shows the quadratic formula

Mathematics

1 answer:

Musya8 [376]2 years ago

7 0

Answer:

Step-by-step explanation:

$x=\frac{-(-9)\pm\sqrt{(-9)^2-4(2)(4)} }{2 \times 2} \\x=\frac{9\pm\sqrt{81-32} }{4} \\x=\frac{9\pm\sqrt{49} }{4} \\x=\frac{9 \pm 7}{4} \\either~x=\frac{9+7}{4} =\frac{16}{4} =4\\or\\x=\frac{9-7}{4} =\frac{2}{4} =\frac{1}{2}$

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You have a rectangular Box whose dimensions are 5cm X 4 Cm X 4 Cm that holds 32 jelly beans, and another rectangular Box whose d

Marizza181 [45]

Answer:

.4 Jelly beans per cubic Centimeter

Step-by-step explanation:

Volume = 4*4*5 = 80 cm^3

Ratio = 32beans/80cm^3 = .4beans/cm^3

3 0

3 years ago

Read 2 more answers

Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual

Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually = 1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

$A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}$

Substituting the known values for Tom, gives;

$A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P$

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

$A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P$

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

$PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%$

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0

3 years ago

What is the equation of the line that is horizontal and goes through the y-axis<br> at -4?

Ivan

Y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

6 0

3 years ago

Read 2 more answers

Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who

yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

$\dfrac{1}{2}x+\dfrac{3}{4}y=765.$

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

$\dfrac{1}{4}x+y=745.$

3. Multiply each equation by 4 and get a system of two equations:

$\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.$

From the second equation $x=2980-4y$ , then

$2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.$

Then

$x=2980-4\cdot 580=2980-2320=660.$

6 0

3 years ago

The quality-control manager of a large factory is concerned about the number of defective items produced by workers. Thirty work

kotegsom [21]

Answer:

a. There is no blocking variable, and incentive plans will be randomly assigned to the workers.

Step-by-step explanation:

The Randomized Complete Block Design (RCBD) is a standard experimental design where experimental units or subjects are grouped as blocks (also known as replicates). In RCBD, subjects within each block are randomly assigned to the experimental units within a block. RCBD is a type of design that reduces variability by controlling variation within each treatment, thereby enhancing the estimation of the treatment effects (combinations of the factor levels of the different factors).

6 0

3 years ago