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fredd [130]
3 years ago
14

Two step inequality 9-x>10

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

The solution to given inequality is x < -1

<em><u>Solution:</u></em>

Given is a inequality

9-x>10

We have to solve the inequality

9-x>10\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\9-x-9>10-9\\\\\mathrm{Simplify}\\\\-x>1\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

\left(-x\right)\left(-1\right)

Thus the solution to given inequality is x < -1

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What is the answer to this question below guys.
Mashutka [201]

Answer:

Step-by-step explanation:

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3 years ago
Miranda found out that there are 20 drops in 11 mL of medicine. She measured 15 drops of medicine into a measuring cup. How many
andreyandreev [35.5K]

Answer: Her measuring cup has 8.25 mL of medicine.

Step-by-step explanation:

As per given,

In 11 mL of medicine, there are 20 drops.

That means quantity in 1 drop = \dfrac{11}{20} mL

Now , the quantity in 15 drops = 15 x quantity in 1 drop

= 15\times\dfrac{11}{20}

=\dfrac{33}{4}

= 8.25 mL

Hence, her measuring cup has 8.25 mL of medicine.

6 0
3 years ago
5x +14+13x-2 i need help on these type of problems please
OleMash [197]

Answer:

18x+12

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5x+14+13x-2

combine Like terms:

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3 0
4 years ago
Read 2 more answers
A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write
Slav-nsk [51]

Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.

so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.

\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2

4 0
2 years ago
A wild horse runs at a rate of 8 miles per hour for 6 hours. Let yy be the distance, in miles, the horse travels for a given amo
spin [16.1K]

Answer:

0\leq x\leq 6

0\leq y\leq 48

Step-by-step explanation:

we are given

speed =8 mph

time = 6 hours

so, we have

x=6

now, we can find distance

distance = (speed)*(time)

distance=8\times 6 miles

distance=48 miles

so, we have

y=48 miles

so, our range for x and y can be

0\leq x\leq 6

0\leq y\leq 48


5 0
4 years ago
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