All categories

3 years ago

X 3 + 14x 2 + 59x + 70 = (x + 2)(x + 5)(x + a0)

Mathematics

2 answers:

Klio2033 [76]3 years ago

5 0

A0 = 7 because 2 * 5 * 7 = 70

erma4kov [3.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

$x^3 + 14x^2 + 59x + 70 = (x + 2)(x + 5)(x + a_0)$

Here a0 is a constant

To find the value of a0 we multiply all the constant terms and make it equal to constant 70

2 times 5 times a0 is 10a_0

$10a_0=70$

Divide both sides by 10

$a_0= 7$

So, the value of a_0 is 7

You might be interested in

Please explain step-by-step. If you don't explain, don't even bother answering.

Andre45 [30]

Answer:

Step-by-step explanation:

From the diagram :

∠AOC = ∠AOB + ∠BOC
96 = 9x - 75 + 8x - 67
17x - 142 = 96
17x = 238
x = 238/17
x = 14

Finding ∠BOC :

∠BOC = 8x - 67
∠BOC = 8(14) - 67
∠BOC = 112 - 67
∠BOC = <u>45°</u>

4 0

2 years ago

Read 2 more answers

Who is responsible for developing the punnett square

AysviL [449]

Reginald Punnett and William Bateson were among the first English geneticists. Punnett devised the "Punnett Square" to depict the number and variety of genetic combinations, and had a role in shaping the Hardy-Weinberg law. Punnett and Bateson co-discovered "coupling" or gene linkage.

Mark brainliest please

Hope this helps you

7 0

3 years ago

Solve each equation 3x^2=80

Lapatulllka [165]

Answer:

$x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}$

$x = \frac{\pm4\sqrt{15}}{3}$

Step-by-step explanation:

Hello!

Use the quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

First, let's convert our equation to standard form of a Quadratic: ax² + bx + c = 0

3x² = 80

3x² - 80 = 0

Note, thats the value of b will be 0, as there is no "bx"

Now, solve:

$x = \frac{-(0) \pm \sqrt{(0)^2 - 4(3)(-80)}}{2(3)}$ Plug in values
$x = \frac{\pm\sqrt{960}}{6}$ Simplify the radical (Discriminant)
$x = \frac{\pm8\sqrt{15}}{6}$ Pull out perfect squares
$x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}$ Reduce factors

The solutions are $x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}$

5 0

2 years ago

Last year Salma opened an investment account with $8200. At the end of the year the amount in the account had increased by 6.5%.

nikklg [1K]

Answer:

61,500

Step-by-step explanation:

8200 x 6.5 = 53,300 + 8200 = 61,500 = $61,500

3 0

2 years ago

A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle

liraira [26]

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

3 0

3 years ago