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3 years ago

Evaluate 5x-6y-7z-3x+2y-z-4x-3y+z

Mathematics

1 answer:

Mazyrski [523]3 years ago

6 0

Answer:

-2x-7y-7z

Step-by-step explanation:

I'm going to start off by separating the different variables and keeping the sign in front with it.

(5x-3x-4x) + (-6y+2y-3y) + (-7z-z+z)

After that it's simply solving a simplifying.

(-2x) + (-7y) + (-7z)

And your final answer should be...

-2x - 7y - 7z!

Hope I helped!

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What is the value of c in the equation below?

Rudik [331]

Answer:

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ and $a^{-m}$ = $\frac{1}{a^{m} }$

Given

$2^{-4}$ × 2² = $2^{(-4+2)}$ = $2^{-2}$ = c , hence

c = $2^{-2}$ = $\frac{1}{2^{2} }$ = $\frac{1}{4}$ → D

4 0

3 years ago

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Select all the true statements

Doss [256]

The true statements are;

1) AB + BC = AC

Length of BC = |6 - 1|

2) ∠JMK = 50°

∠KML = 35°

<h3>How to Interpret Number Line intervals?</h3>

1) From the given number line interval, we can deduce the interpretation as follows;

AB + BC = AC

Length of BC = 5 units or |6 - 1|

Length of B = 3 Units

2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;

6x + 2 + 4x + 3 = 85

10x + 5 = 85

10x = 85 - 5

10x = 80

x = 80/10

x = 8°

Thus;

∠JMK = 6(8) + 2

∠JMK = 50°

∠KML = 85° - 50°

∠KML = 35°

Read more about Number Line Intervals at; brainly.com/question/27998235

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6 0

2 years ago

Figure A is the preimage. Which figure is the image of figure A after a dilation with a scale factor of 2 and a center of (0, 0)

Travka [436]

Answer:

Step-by-step explanation:

it is u

4 0

3 years ago

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Find (f ∘ g)(-6) when f(x) = 9x + 2 and g(x) = -9x2 - 2x + 1.

Salsk061 [2.6K]

Given that the two functions are $f(x)=9x+2$ and $g(x)=-9x^2-2x+1$

We need to determine the value of $(f \circ g)(-6)$

<u>The value of </u> $(f \circ g)(x)$ <u>:</u>

The value of $(f \circ g)(x)$ can be determined using the formula,

$(f \circ g)(x)=f[g(x)]$

Substituting $g(x)=-9x^2-2x+1$ in the above formula, we get;

$(f \circ g)(x)=f[-9x^2-2x+1]$

Now, substituting $x=-9 x^{2}-2 x+1$ in the function $f(x)=9x+2$ , we get;

$(f \circ g)(x)=9(-9x^2-2x+1)+2$

$(f \circ g)(x)=-81x^2-18x+9+2$

$(f \circ g)(x)=-81x^2-18x+11$

Thus, the value of $(f \circ g)(x)$ is $(f \circ g)(x)=-81x^2-18x+11$

<u>The value of </u> $(f \circ g)(-6)$ <u>:</u>

The value of $(f \circ g)(-6)$ can be determined by substituting x = -6 in the function $(f \circ g)(x)=-81x^2-18x+11$

Thus, we have;

$(f \circ g)(-6)=-81(-6)^2-18(-6)+11$

$(f \circ g)(-6)=-81(36)-18(-6)+11$

$(f \circ g)(-6)=-2916+108+11$

$(f \circ g)(-6)=-2797$

Thus, the value of $(f \circ g)(-6)$ is -2797

Hence, Option B is the correct answer.

8 0

4 years ago

You lose 2 points every time you forget to write your name on a test. You have forgotten to write your name 6 times. What intege

coldgirl [10]

A loss in 2 points per forget, times 6 times forgetting gives 12. But since it is a deduction in points the final integer answer is -12

5 0

3 years ago

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