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3 years ago

Subtract -7x + 6 from -2x^2 + 9x - 2

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Answer:

$( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8$

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PLEASE DONT SKIP THIS I NEED HELP<br><br> Can someone please explain how to solve this problem?

Setler [38]

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3 years ago

Point T is the midpoint of JH. The coordinate of T is (0, 5) and the coordinate of J is (0, 2). The coordinate of H is:

aev [14]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&J&(~ 0 &,& 2~) 
% (c,d)
&H&(~ x &,& y~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left(\cfrac{x+0}{2}~~,~~\cfrac{y+2}{2} \right)=\stackrel{midpoint~T}{(0~,~5)}\implies 
\begin{cases}
\cfrac{x+0}{2}=0\\\\
\boxed{x=0}\\
------\\
\cfrac{y+2}{2}=5\\\\
y+2=10\\
\boxed{y=8}
\end{cases}$

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3 years ago

Karen has 1/2 cup of sugar. She is baking cookies and needs 1 1/3 cups for a recipe. How much more sugar does she need If she wa

Evgen [1.6K]

Answer:

3 1/2 cups

Step-by-step explanation:

Let's start by figuring out how much sugar Karen needs in total.

She needs (1+1/3) cups for her original recipe. To triple that, we need (1+1/3) 3 times. We can calculate this by multiplying it by 3.

(1+1/3) * 3 = 3 + 1 = 4

Karen needs 4 cups in total. She has 1/2 cup. The difference is how much more she needs. Therefore, she needs 4 - 1/2 = 3 1/2 cups

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3 years ago

Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y

klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: $17 < x \leq 54$

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

$x > 17$

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

$x\leq 54$

In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

$17 < x \leq 54$

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3 years ago