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Doss [256]
3 years ago
15

Write an algebraic expression for the word phrase. the product of 8 and s.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0
(C) 8s would be the answer.
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Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Nina [5.8K]

1. Simplify the inequality 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):

15.3+11.22x>-14.25-10.2x-24,\\
15.3+11.22x>-10.2x-38.75.

2. Separate terms with x and without x in different sides:

11.22x+10.2x>-38.75-15.3.

3. Add similar terms:

21.42x>-54.05.

4. Divide by 21.42:

x>-\dfrac{54.05}{21.42} ,\\ \\x>-2.5.

Answer: correct choice is C.

4 0
3 years ago
Read 2 more answers
Use the fundamental identities to verify
Vilka [71]

Answer:

see below

Step-by-step explanation:

6 cot ^2 (y) ( sec^2 (y) -1) = 6

We know that ( sec^2 (y) -1) = tan ^2(y)

6 cot ^2 (y) tan ^2 (y) = 6

We know cot = cos/ sin   and tan = sin / cos

6 cos/ sin ^2 (y) sin/cos ^2 (y) = 6

6 ( 1) = 6

6=6

8 0
3 years ago
Read 2 more answers
The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at
Anna007 [38]
<h3>Answer: Choice B is correct</h3>

========================================================

Explanation:

Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.

The x intercept is the same as the root or zero of a function.

You should find that only choice B has a root thats larger than 4. That specific root being x = 7.

----------------------------

A non-graphing approach:

You can use the quadratic formula or the factoring method to find the roots.

For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.

On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7  and x = -2. This is another way to see why choice B is the answer.

Here are the steps for the quadratic formula for choice B

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.

8 0
3 years ago
What is the remainder of 203 divided by 9?
ra1l [238]

203/9=22 with a remainder of 5

3 0
3 years ago
Find the L.C.M of 6,9​
Oxana [17]

Answer:

Lcm=18

Step-by-step explanation:

First do prime factorization of 6 and 9

common factor of 6 is 3

and remaining factor is 2×3

Now,

C.F×R.F= 3×2×3

=18

6 0
2 years ago
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