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3 years ago

Simplify. Use the distributive property. 5(3x+1)

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

Answer:

15x+5

Step-by-step explanation:

First you distribute the 5 to the 3x ( 5 times 3x=15x)

Next you distribute the 5 to the 1 (5 times 1=5)

Finally you put the two answers together 15x+1

you cant simplify it anymore because you cannot add 15x to 1

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. Use the quadratic formula to solve each quadratic real equation. Round

Liono4ka [1.6K]

Answer:

A. No real solution

B. 5 and -1.5

C. 5.5

Step-by-step explanation:

The quadratic formula is:

$\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}$ , with a being the x² term, b being the x term, and c being the constant.

Let's solve for a.

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}$

We can't take the square root of a negative number, so A has no real solution.

Let's do B now.

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}$

$\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5$

So B has two solutions of 5 and -1.5.

Now to C!

$\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}$

$\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}$

$\frac{44}{8} = 5.5$

So c has one solution: 5.5

Hope this helped (and I'm sorry I'm late!)

4 0

3 years ago

A recipe for 1 batch of muffins included 2/3 cup of raisins. She made 2 1/2 batches of muffins. How many cups of raisins did she

choli [55]

Answer:

If she made 2 1/2 batches of muffins and you had 2/3 of raisins per 1 batch then you'd have a total of 1 2/3 cups of raisins

Step-by-step explanation:

1 batch= 2/3 cups

2 batches=4/3 cups or 1 and 1/3 cups

1/2 batch= 1/2 of 2/3= 1/3 cups

2 batches+1/2 batches= 1 and 1/3 cups+1/3 cups

1 and 1/3 cups+1/3 cups= 1 and 2/3 cups of raisins

3 0

2 years ago

What is the surface area?

torisob [31]

Answer:

since the formula of a triangle is ab/2 and since there is four simply multiply 3x4 which is 12 and divide by 2 which is 6 and 6x4= 24 and add that tp 9 since the base is just 3x3 which results for an answer of 33.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!

Rainbow [258]

Answer:

see explanation

Step-by-step explanation:

Given

$\sqrt{\frac{4x^2}{3y} }$