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Ket [755]
3 years ago
7

Solve for xxx. Write the smaller solution first, and the larger solution second.

Mathematics
2 answers:
____ [38]3 years ago
4 0

Answer:

x=-5\text{ or }x=2

Step-by-step explanation:

We have been given an equation x^2+3x-10=0. We are asked to find the solutions of our given equation.

We will use splitting the middle term method to solve quadratic equation.

We will split middle term of our given equation into parts such that whose product is -10 and whose sum is 3.

We know that such two numbers are 5\text{ and }-2.

x^2+5x-2x-10=0

(x^2+5x)+(-2x-10)=0

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

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

Using zero product property, we will get:

(x+5)=0\text{ or }(x-2)=0

x+5=0\text{ or }x-2=0

x=-5\text{ or }x=2

Therefore, the solutions for our given equation are x=-5\text{ or }x=2.

S_A_V [24]3 years ago
3 0

Answer:

Step-by-step explanation:

The real answers are x=2 and x=3

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Find 75% of 150. Round to the nearest tenth if necessary.
maria [59]

Find 75% of 150

First, let's convert 75% to decimal by dividing by 100:

\frac{75}{100}=0.75

Now, we will multiply 0.75 with 150 to find out answer:

\begin{gathered} 0.75\times150 \\ =112.5 \end{gathered}Answer112.5
4 0
1 year ago
Read 2 more answers
Which is a counterexample for the conditional statement shown? If three distinct points lie in a plane, then the points can form
lina2011 [118]
<h2>Answer:</h2>

We take the example of:

Three collinear points in a plane.

Then we may conclude that they will never form a triangle.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is given by:

If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

Counter example for a conditional statement--

A counter example is an example that makes the general statement is false.

i.e. a example which fulfills the condition of the hypothesis but does not satisfy the conclusion of the given statement.

  • Here the statement is:

If three distinct points lie in a plane, then the points can form a triangle.

i.e. Hypothesis is: Three distinct point lie in a plane.

and conclusion is: The points form a triangle.

So we take a example as:

Three collinear points lie in a plane but they will never form a triangle.

3 0
4 years ago
80 POINTS!!!!<br><br> Simplify 6 to the power of -3 over 6 to the power of 5
tigry1 [53]

6^-3 / 6^5

Because the numerator has a negative exponent, use the negative exponent rule b^-n = 1/b^n

To do this move 6^-3 to the denominator:

1 / (6^5 * 6^3)

When you multiply identical numbers with exponents you add the exponents so (6^5 * 6^3) becomes 6^8

Now you have 1 / 6^8

Now raise 6 to the power of 8 to get:

1/1679616

Depending on the format your answer needs to be in you have 3 different answers:

1) 1/6^8 ( Leaving it as an exponent)

2) 1 / 1679616 (As a fraction)

3) 5.9537 x 10^-7 (As a decimal, round as needed)

5 0
4 years ago
Read 2 more answers
I don't understand 1 and 2
Trava [24]
1. addition
2. subtraction
8 0
4 years ago
I don't understand this question but the company I choose was PepsiCo. The shares price is $146.02​
Anni [7]

9514 1404 393

Answer:

  136.96754 shares, or maybe 136 shares

Step-by-step explanation:

At a cost of $146.02 per share, $20,000 will buy ...

  $20,000 / (146.02/share) = 136.96754 shares

__

Some accounts will let you purchase partial shares; others require you purchase whole shares. $20,000 is enough to pay for 136.96754 shares, but you may be able to purchase only 136 shares. (You would have $141.28 in cash remaining after that transaction.)

Some accounts manage shares in multiples of 0.001 shares; others may use more decimal places. Above, we have shown the quantity that spends the entire $20,000. Using fewer decimal places will leave some cash remaining.

We have assumed you're not paying any brokerage fees or loads that would reduce the amount of money that actually purchases shares.

_____

<em>Additional comment</em>

Whenever you buy anything, the cost of more than one of it is the unit price times the number of units. (Quantity discounts may apply.) In like fashion, the cost of multiple shares of stock is the single-share cost multiplied by the number of shares. As with all multiplication relations, a corresponding division relation is <em>the number of shares is the total cost divided by the cost per share</em>.

8 0
3 years ago
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