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Dominik [7]
3 years ago
15

Solve each quadratic inequality, and graph the solution on a number line y2-17y + 70 < 0​

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:

Step-by-step explanation:

y^2-17y + 70 < 0​

7<y<10  interval is (7,10)

Graph is broken horizontal line across the 10 and 7 lines.

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Find the value of the following expression:
Greeley [361]

Answer:

25

Step-by-step explanation:

Expression: <em>(2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸</em>

Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸

Combine like terms: 2¹² • 5²/2¹²

Cancel out: 5²

Solve: 25

6 0
4 years ago
What is 1 and 1/2% of 400?
aniked [119]
\bf {{ a}}\%\ of\ b \implies  \cfrac{{{ a}}}{100}\cdot b\implies {{ a}}\div 100\cdot b\\\\&#10;-----------------------------\\\\&#10;thus&#10;\\\\&#10;&#10;\begin{cases}&#10;{{ 1}}\%\ of\ 400 \implies  \cfrac{{{ 1}}}{100}\cdot 400\implies {{1}}\div 100\cdot 400\\&#10;--------------\\&#10;{{ \frac{1}{2}}}\%\ of\ 400 \implies  \cfrac{{{ \frac{1}{2}}}}{100}\cdot 400\implies {{\frac{1}{2}}}\div 100\cdot 400&#10;\end{cases}

you tell us
3 0
3 years ago
What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?
Inessa [10]

Answer:

\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}

Step-by-step explanation:

The formula of a volume of a rectangular box:

V=lwh

<em>l</em><em> - lenght</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)

Therefore the dinemsions of thisp prism are:

(2b+3)\times(5b-1)\times(5b+1)

5 0
3 years ago
Read 2 more answers
. Round off the answer correctly.. . 8.7 g + 15.43 g + 19 g = 43.13 g   . . a. 43.130 g. b. 43.1 g. c. 43 g. d. None of the abov
arsen [322]
<span>Round off the answer correctly.. . 8.7 g + 15.43 g + 19 g = 43.13 g .
 a. 43.130 g.
b. 43.1 g.
c. 43 g.
 d. None of the above..
From the above given answers , most appropriate answer is "43.1" g. as according to the rounding rules, if the last number of digit is smaller than 5, then </span> <span>we leave the digit we want to round to alone.</span>
3 0
3 years ago
Can someone solve this question
pogonyaev

(g/f)(x)= g(x)/f(x) =


= (x² - 6) /(3x +1)


3x+1≠0

3x≠-1

x≠ - 1/3


(g/f)(x)= (x² - 6) /(3x +1), when x≠ - 1/3


Answer: A.



6 0
3 years ago
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