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3 years ago

8

Find the difference (7a-6b+7) - (8a-2)

1 answer:

olga nikolaevna [1]3 years ago

6 0

Hey there!

Let's set up our expression:

(7a-6b+7)-(8a-2)

In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:

7a-6b+7-8a+2

Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:

(7a-8a) - 6b + (7+2) =

-a - 6b + 9

Hope this helps!

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A like has two-fold Symmetry

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Answer:

yes

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3 years ago

Find the value of expression the a3−3a2+5a−7 by substituting a=3.

8090 [49]

Answer:

21 is answer

Step-by-step explanation:

Find the value of expression the a3−3a2+5a−7 by substituting a=3.

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3 years ago

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

Leto [7]

Answer:

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Z score

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 180, σ = 8.

For x = 185:

z = (185 - 180)/8 = 0.625

For x = 190:

z = (190 - 180)/8 = 1.25

P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

3 0

2 years ago

5x²+4x+3=0 solve for x

juin [17]

Answer:

${ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }$

Step-by-step explanation:

$5 {x}^{2} + 4x + 3 = 0$

from quadratic formular:

${ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }}$

general equation:

${ax}^{2} + bx + c = 0$

a is 5, b is 4 and c is 3:

substitute in formular:

${ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}$

but from complexes, <em>i</em><em>²</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em>

${ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}$

6 0

3 years ago

What is the length of ED

STALIN [3.7K]

Answer:

ED ≈ 2.6 units

Step-by-step explanation:

Using the Sine rule in Δ DEF

$\frac{FD}{sin115}$ = $\frac{ED}{sin20}$

$\frac{6.95}{sin115}$ = $\frac{ED}{sin20}$ ( cross- multiply )

ED sin115° = 6.95 sin20° ( divide both sides by sin115° )

ED = $\frac{6.95sin20}{sin115}$ ≈ 2.6 ( to the nearest tenth )

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2 years ago