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natka813 [3]
3 years ago
12

Drag a statement or reason to each box to complete this proof. If −3(x+8)=−21, then x=−1.

Mathematics
2 answers:
Mamont248 [21]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

We can solve for x:

−3(x+8) = −21

Distribute the -3 over the parentheses:

-3x - 24 = -21

Add 24 to both sides:

-3x -24 + 24 = -21 + 24

-3x = 3

Divide both sides by -3:

x = -1.

So that proves the original equation.

Zigmanuir [339]3 years ago
4 0

Answer:

Yes, this is true.

Step-by-step explanation:

If you substitue x for -1 you get -3(-1+8)=-21, Then you add -1 and 8 so you should get 7. After, you multiply 7 times -3 you get -21. Proving this statement is correct.

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a researcher at a major clinic wishes to estimate the proportion of the adult population of the united states that has sleep dep
Anna11 [10]

Answer:

The estimate of a population proportion is approximately 541.

Step-by-step explanation:

We can solve the the problem by using the formula for minimum sample needed for interval estimate of a population proportion which is given by the formula

n = pq ((Z/2) / E)^2

As, p is not defined so we use the standard p and q which is 0.5 and 0.5.

The reason for this is we have to choose form 0.1 to 0.9 both values of p and q, we will find the maximum value of pq occurs when they both are 0.5.

Next, we will find the value of (Z/2) by looking at the Z-table, we will find that at 98% confidence (Z/2) = 2.326. Now we start substituting the values in the above formula

n = (0.5)×(0.5) × (2.326/0.05)^2

n = 541.027

n ≅ 541.

5 0
3 years ago
Vectorcardiography Suppose the voltage vector of a healthy heart is given by [0.3, 20.2]. Cardiac abnormalities result in change
Alexeev081 [22]

Answer:

Please see attachment

Step-by-step explanation:

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7 0
3 years ago
Square root of 50 + square root of 18
skelet666 [1.2K]

if ya asking for simpliicatio

remember that \sqrt{ab}=(\sqrt{a})(\sqrt{b})

and

\sqrt{a^2}=(\sqrt{a})(\sqrt{a})=a

\sqrt{50}+\sqrt{18}=

factor

(\sqrt{2})(\sqrt{5})(\sqrt{5})+(\sqrt{2})(\sqrt{3})(\sqrt{3})=

(\sqrt{2})(5)+(\sqrt{2})(3)=

5\sqrt{2}+3\sqrt{2}=

8\sqrt{2}

5 0
3 years ago
Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra
Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

3 0
2 years ago
Artaud noticed that if he takes the opposite of his age and adds 45 he gets the number 32. How old is Artaud?
elena-14-01-66 [18.8K]

Answer:

He is 13 years old

Step-by-step explanation:

32-45=-13

the opposite of -13 is positive 13

3 0
3 years ago
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