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Taya2010 [7]
3 years ago
5

What type of number can be written as a fraction plq, where p and q are integers

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

rational number

Step-by-step explanation:

written as a fraction p/q, where p and q are integers and q is not equal to zero, is called as rational numbers. Example - 4/5, 2, 100, 1/7 etc all are rational numbers.

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Determine which consecutive integers do not have a real zero of between them. a. (–6, –5) c. (–2, –1) b. (–5, –4) d. (1, 2) Plea
svetoff [14.1K]
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.

7 0
3 years ago
Which is the solution set for –7 ≤ 4x + 1 ≤ 5?<br><br> I added a picture !
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-7\leq4x+1\leq5\ \ \ \ |subtract\ 1\\\\-7-1\leq4x+1-1\leq5-1\\\\-8\leq4x\leq4\ \ \ \ |divide\ by\ 4\\\\-8:4\leq4x:4\leq4:4\\\\\boxed{-2\leq x \leq1\Rightarrow x\in[-2;\ 1]}

\boxed{x\geq-2\ and\ x\leq1}\to\answer{\boxed{C}}
6 0
3 years ago
Read 2 more answers
Use the distributive for dx(8+6)
kramer
That would be 14 then.
8 0
2 years ago
Solve the equation. Round to the nearest hundredth. Show work.
Burka [1]

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

3 0
3 years ago
a cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of cubic inch, of the con
natita [175]
12.9986 would be the answer from a calculator but I'd say it's 12.9. Hope this helped!
8 0
2 years ago
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