Factor the expression on the left side of the equation. Then solve the equation.x³ - 2x² - 5x = 0

-5, 0, 3
0, -1 ± √24
0, -1 ± √6
0, 1 ± √6

Answers

Answer 1

Answer: x³ - 2x² - 5x = 0

First, take common factor:

x(x^2 - 2x - 5 )= 0

Now use the quadratic formula to find the roots of the trinomial

x = [- b +/- √(b^2 - 4(a)(c)] / 2a

$x = (2 +/- √(4 -4(1)(-5)) )/(2)$

x = [2 +/-2√6 ]/2

x = 1 + √6 and x = 1 -√6

Then the solutions are:

x =0; x = 1 + √6; x = 1 - √6

That is the las option shown.

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Which shows the factored form of x2 – 12x – 45?(x + 3)(x – 15) (x – 3)(x – 15) (x + 3)(x + 15) (x – 3)(x + 15)

H ( t) = -10 + 6 h ( ) = -44

Answers

Answer:

-44

Step-by-step explanation:

Simplify the following expression.
7x- 8+2x5x11

Answers

Answer:110x^2+7x-8

Step-by-step explanation:

7x- 8+2x5x11

7x-8+110x^2

reoder the terms

110x^2+7x-8

An apple tree is 93 ft tall and a peach tree is 5ft tall. How much taller is theapple tree than the peach tree? help!!

Answers

88ft. You need to subtract 5 from 93 (93-5) which would equal 88

7 Solve (x² - 11x +29)(6x²+x-2) = 1.

Answers

Answer: The answer is x=0.670

Step-by-step explanation:

ab=1⇒a=1 or b=0 or a=−1 if b is even

So we can just solve three different cases.

Case 1: a=1.
x2−11x+29x2−11x+28(x−4)(x−7)x1x2=1=0=0=4=7

Case 2: b=0.
6x2+x−2(3x+2)(2x−1)x3x4=0=0=−23=12

Case 3: a=−1 and b is even.
x2−11x+29x2−11x+30(x−5)(x−6)x5x6=−1=0=0=5=6(inadmissible)

The possible answers are therefore x= -2/3, 1/2, 4, 6, 7

A data set contains an independent and dependent variable which must be true or the data set of a linear function can be used to represent the data

Answers

The correct answer for the question that is being presented above is this one: "d. The values in the set must be increasing." A data set contains an independent and dependent variable which must be true or the data set of a linear function can be used to represent the data.

Here are the following choices:
a. The set must have a constant additive rate of change.
b. The set must have a constant multiplicative rate of change.
c. The values in the set must be positive.
d. The values in the set must be increasing.

Answer: D

Step-by-step explanation: edg

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in 0ne year?

Answers

2.5% of 5000 is 125. So in the first year you'll earn $125.

Final answer:

The interest earned on a $5000 deposit with a simple interest rate of 2.5% for one year is $125.

Explanation:

To calculate the interest earned on a savings account, you can use the formula: Interest = Principal × Interest Rate × Time. In this case, the principal (amount deposited) is $5000, the interest rate is 2.5% (or 0.025 as a decimal), and the time is 1 year. Plugging in these values, we get:

Interest = $5000 × 0.025 × 1 = $125.

Therefore, you will earn $125 in interest on your $5000 deposit after one year.