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Gemiola [76]
3 years ago
8

What value of q makes the statement true? -(q + 14) = -3 + (-14)

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0
The answer is

q=3

-(3+14)=-3+-14  

3+14=17--> -17
myrzilka [38]3 years ago
6 0
<span>-(q + 14) = -3 + (-14)
Add -14 to -3
</span><span>-q - 14 = -17
Add 14 to both sides
-q=-3
Divide -1 on both sides
Final Answer: q=3</span>
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Write 7 x 10^-3<br> in standard notation.
VashaNatasha [74]

Answer:

0.007

Step-by-step explanation:

A negative notation starts with 0's from the left.

count 3 places before the 7, that is where my point is.

I am pretty sure of my explanation but the answer is correct.

5 0
3 years ago
a library has an average of 510 visitors on Sundays and 240 visitors on other days. The average number of visitors per day in a
serious [3.7K]

Answer:

285

Step-by-step explanation:

hi

personally this is how i would do this question but there are other ways.

i would start off by seeing how many sundays there are in the month (which is 5) then the number of other days which is 25. i'd then multiply 5 by 510 which is 2550. add that to 240 times 25 (which is 6000) and all of that together is 8550. divide that by the number of the days in the month (30) and then you'll get the daily avergae for the month

hope this helped:)

6 0
3 years ago
Use &lt;, =, or &gt; to complete the statement. 0.62 0.16
Kobotan [32]
The Statement would be: 0.16 < 0.62

6 0
3 years ago
Read 2 more answers
If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
3 years ago
Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................
Nataliya [291]
<span>To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
\frac{1}{4}\div\frac{3}8}

Step 1:
Rewrite it as
\frac{\frac{1}{4}}{\frac{3}{8}}.


Step 2:
Multiply the numerator and the denominator by the reciprocal of
\frac{3}{8}.</span><span>

</span><span>\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}


Step 3:
Simplify the denominator
\frac{\frac{1}{4}\times\frac{8}{3}}{1}                                                                 

Step 4:
Simplify the fraction
</span><span>\frac{1}{4}\times\frac{8}{3}.

We complete the solution as follows:
</span><span><span>\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}</span></span>
3 0
3 years ago
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