Point R is on line segment QS. Given RS = 2 and QS = 10, determine the length QR

Answers

Answer 1

Answer:

Answer: QR=12

Step-by-step explanation:

10+2=12

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Rewrite each fraction with a denominator of 121212.
\dfrac{3}{4} =

Answers

Answer:

9/12

Step-by-step explanation:

First you multiply 3x12 which equal 36 then you divide 36 by 4 which equal 9 so your answer is 9/12

Which of the following constants can be added to x2 + x to form a perfect square trinomial?

Answers

Answer:

x^2+x + 1/4

Step-by-step explanation:

x^2+x

Take the coefficient of x

divide by 2

1/2

Square it

(1/2)^2 = 1/4

Add this to make a perfect square trinomial

Find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once

Answers

Answer:

See below

Step-by-step explanation:

The greatest number formed by those numbers is: 765420

The least number formed by those number is: 204567

The sum is: 765420 + 204567 = 969987

The difference is: 765420 - 204567 = 560853

Answer: Hi!

First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)

Greatest: 765420

Least: 204567

Now we add the numbers together:

765420 + 204567 = 969987

Now we subtract the numbers:

765420 - 204567 = 560853

These are your answers!

Hope this helps!

Can you help me to do this please?Determine the inverse of the h(x)

Answers

Answer:

$h^(-1)(x)=x^3+6x^2+12x+7$

Explanation:

Given the below function;

$h(x)=\sqrt[3]{x+1}-2$

We'll follow the below steps to determine the inverse of the above function;

Step 1: Replace h(x) with y;

$y=\sqrt[3]{x+1}-2$

Step 2: Switch x and y;

$x=\sqrt[3]{y+1}-2$

Step 3: Solve for y by first adding 2 to both sides;

$\begin{gathered} x+2=\sqrt[3]{y+1}-2+2 \n x+2=\sqrt[3]{y+1} \end{gathered}$

Step 4: Take the cube of both sides;

$\begin{gathered} (x+2)^3=(\sqrt[3]{y+1})^3 \n (x+2)^3=y+1 \end{gathered}$

Step 5: Expand the cube power;

Recall;

$(a+b)^3=a^3+3a^2b+3ab^2+b^3$

Applying the above, we'll have;

$\begin{gathered} (x+2)^3=y+1 \n x^3+3x^2\cdot2+3x\cdot2^2+2^3=y+1 \n x^3+6x^2+12x+8=y+1 \end{gathered}$

Step 6: Subtract 1 from both sides of the equation;

$\begin{gathered} x^3+6x^2+12x+8-1=y+1-1 \n x^3+6x^2+12x+7=y \n \therefore y=x^3+6x^2+12x+7 \end{gathered}$

Step 7: Replace y with h^-1(x);

$h^(-1)(x)=x^3+6x^2+12x+7$

Which of the following scatterplots would have a trend line with a positive slope?

Answers

the first one will be positive!

Answer:

It's the first answer.

Step-by-step explanation:

As demonstrated through the image, the slope increases. Thus making it a positive slope.

Patricia, audrey, and laticia are in a nursery buying plants for their gardens. Patricia orders six magnolias and two camellias. Audrey orders four camellias and three azaleas. leticia orders three magnolias, two camellias, and four azaleas. If patricia, audrey, and leticia paid $168.00, $150.30, and $222.50 respectively, what are the individual costs of a magnolia, a camellia, and an azalea?

Answers

Answer:

The cost of each magnolia plant is $23.24, the cost of each camellia plant is $14.28, and the cost of each azalea plant is $31.05.

Step-by-step explanation:

I attached the explanation.

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Samantha is making brownies for the entire staff at Arlington Elementary SchoolAltogether, 73 adults help make her school a wonderful place to be and learn everyday. One box of brownies is enough for 16 teachers. How many boxes of brownies willSamantha need to make in order to have enough for the entire staff at ArlingtonElementary School?FG4 boxes, because 73 - 16 is about 44 boxes, because 73 : 16 is about 4565 boxes, because 73 - 16 is about 4.56Ether 4 or 5 because 73 - 16 is about 4.56H