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Natalija [7]
3 years ago
14

I need help with this question please ASAP!!!!!!!!!

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

The simplified expression is \left(-\frac{5}{7}\right)^{17}.

Solution:

Given expression is \left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}.

To simplify this expression:

$\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}

Using exponent rule:

If the base of the product is same then add the powers of the bases.

a^m \cdot a^n = a^{m+n}

$\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}=\left(-\frac{5}{7}\right)^{8+9}

                           $=\left(-\frac{5}{7}\right)^{17}

$\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}=\left(-\frac{5}{7}\right)^{17}

The simplified expression is \left(-\frac{5}{7}\right)^{17}.

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A Venn Diagram comparing swimmers and weightlifters is shown below: an image of a Venn diagram is shown labeled swamp and rainfo
Alecsey [184]
Your Universe is D, set B ={swimmers}, set C = {weightlifters}.

First, you are looking for what is either swimmers or weightlifters and that is given by the union of sets B and C: B∪C

Then, you have to look for everything that is not swimmers or weightlifters, and that is the complement of the previous set: ¬(B∪C)
An other notation could be everything that is in the Universe which is not a swimmer or a weightlifter: D - (B∪C)

The area will be therefore the one outside the circles.

4 0
4 years ago
Read 2 more answers
(3 x 6) = 10 x _____ = ____
nataly862011 [7]

Answer:

1.8

18

Step-by-step explanation:

(3 \times 6) = 10 \times 1.8 = 18

4 0
3 years ago
How can you check the reasonableness of your solution
storchak [24]

You would basically go back and trace all your steps, that's what I do. And if your answer seems reasonable then you have the right answer but if your work doesn't match the answer than you've messed up.   I hope I helped if I did like my answer and comment down below thx

6 0
4 years ago
Solve algebraically: x2 − x ≥ 6.
hammer [34]

Answer:

B. x ≥ 3 or x ≤ −2

Step-by-step explanation:

<u>Inequalities</u>

Solve the inequality:

x^2-x\ge 6

Subtracting 6:

x^2-x-6\ge 0

Factoring:

(x-3)(x+2) ≥ 0

We have a product that must be greater or equal to 0. This can only happen if:

x - 3 ≥ 0  and x + 2 ≥ 0

Or:

x - 3 ≤ 0  and  x + 2 ≤ 0

The first couple of conditions yields to:

x ≥ 3 and x ≥ -2

Which lead to the solution

x ≥ 3       [1]

The second couple of conditions yields to:

x ≤ 3 and x ≤ -2

Which lead to the solution

x ≤ -2        [2]

The final solution is [1] or [2]:

Answer:

B. x ≥ 3 or x ≤ −2

5 0
3 years ago
3. Write a simplified algebraic expression for<br> the model
ICE Princess25 [194]

The simplified algebraic expression for the model is x = -1

<h3>What are algebraic expressions?</h3>

Algebraic expressions are known as mathematical statements gotten when operations such as addition, subtraction, multiplication, division, etc. are operated or used on variables and constants

From the figure given;

We have:

  • x
  • x
  • -x
  • (- 1) ^6
  • (1) ^5

Now, let's add the variables

= x + x - x

= 2x - x

= x

For the constants

= -1^6 = -1

= 1 ^5 = 1

= 1 × -1 = -1

Thus, the simplified algebraic expression for the model is x = -1

Learn more about algebraic expressions here:

brainly.com/question/4344214

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8 0
1 year ago
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