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3 years ago

Which ordered pair makes both inequalities true for y> -2x + 3 and y ≤ x - 2

Mathematics

1 answer:

lina2011 [118]3 years ago

6 0

Answer:

(2,0)

Step-by-step explanation:

Substitution, 0> -2(2) + 3 which equals, 0> -1 True

0= 2 - 2 True

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Please help me find out what the question marks are

quester [9]

Question a

g(x) times $\sqrt{x-5}=\sqrt{x^2-5}$
divide both sides by √(x-5)
$g(x)=\frac{\sqrt{x^2-5}}{\sqrt{x-5}}$
$g(x)=\frac{(\sqrt{x-5})(\sqrt{x^2-5})}{x-5}$
$g(x)=\frac{\sqrt{x^3-5x^2-5x+25}}{x-5}$

question b
$g(x) \space\ times \space\ 1+\frac{1}{x}=x$
divide both sides by 1+1/x
$g(x)=\frac{x}{1+\frac{1}{x}}$
times by x/x
$g(x)=\frac{x^2}{x+1}$

question c
$\frac{1}{x} \space\ times \space\ f(x)=x$
times both sides by x
$f(x)=x^2$

question d
the (f*g)(x) collumn seems to have a domain of only x is greater than or equal to 0?
so maybe we squared the whole thing, ya
wait
ah, ya
basically
$|x|=(\sqrt{x})^2=(\sqrt{x})(\sqrt{x})$
so f(x)=√x

a. $g(x)=\frac{\sqrt{x^3-5x^2-5x+25}}{x-5}$
b. $g(x)=\frac{x^2}{x+1}$
c. $f(x)=x^2$
d. $f(x)=\sqrt{x}$

3 0

4 years ago

Read 2 more answers

A recipe for pie dough calls for a ratio of butter to flour of 4/5 : 3 1/3 . If you plan to use 6 2/3 cups of flour, how much bu

erma4kov [3.2K]

Answer:

1 3/5

Step-by-step explanation:

to determine the answer, take the following steps :

determine how much larger the amount of flour you intend to use is more than that indicated in the recipe
Multiply the answer gotten in the above step by the amount of flower indicated in the recipe

6 2/3 ÷ 3 1/3

20/3 x 3/10 = 2

2 x 4/5 = 8/5 = 1 3/5

6 0

3 years ago

I NEED HELP ... please help me.

DochEvi [55]

∆STU= ∆EDC
∆WVU=∆WNM

Step-by-step explanation:

here = means the similar triangle plz don't confuse. And 1. is proved by SSS axiom or SAS axiom and 2. is proved through SAS axiom will be much more better.

6 0

3 years ago

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The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the t

Kisachek [45]

Answer:

the statement that is not supported by the trend in the scatter plot is d) each additional pound adds about one hour of cooking time.

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4 years ago

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Rebecca drove 44 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour?

saul85 [17]

$unit\ rate=\frac{distance}{time}\\\\
distance=44\frac{1}{3} miles\\
time=1\frac{1}{3}hour\\\\
unit\ rate=\frac{44\frac{1}{3}}{1\frac{1}{3}}=\ \ \ | make\ improper\ fractions\\
\frac{\frac{133}{3}}{\frac{4}{3}}=\frac{133}{3}*\frac{3}{4}=\frac{133}{4}=33\frac{1}{4}\\\\
unit\ rate= 33\frac{1}{4}\frac{miles}{hour}
$

5 0

4 years ago