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Stels [109]
2 years ago
9

1.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
5 0

Answers:

<u>A. 17</u>

<u>B. 27</u>

<u>C. -19</u>

<u>D. -7</u>

<u>E. 17</u>

<u>F. 326</u>

<u></u>

<h2>BRAINLIEST PLEASE</h2>
You might be interested in
Y -7.2 = 8 I need this as explanation and in algebraic show
valkas [14]

Answer:

Heyya !

Here's how to do it:-

First write down what's given:-

y -7.2 = 8

Next, we do like this:-

y = 8+ 7.2

We transferred 7.2 to the other side of the ' = ' sign.

When we do so, the sign of the number changes

Here 7.2 was negative first but when we transferred it to the other side, its sign changed to positive.

So,

y = 8 + 7.2

Now, just add it!

8 + 7.2 equals 15.2

<h2>So, the value of y is 15.2  </h2><h2 /><h3>I hope the explanation was clear.</h3><h3>If you still have doubts, let me know in the comments !</h3>
7 0
3 years ago
Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
A $50.00 pair of shoes is discounted 20%. If sales tax is 8%, what is the amount of tax paid?
sleet_krkn [62]
Since sales tax goes after the discount, it would be 3 dollars and 20 cents. Taking 50 dollars and 20% is discounted (50*.2), which would be 10 dollars taken off. It would be 40 dollars shoes and then you apply sales tax by multiplying 40 by .08, giving you the amount of tax paid.
6 0
3 years ago
Read 2 more answers
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
oksian1 [2.3K]

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

4 0
3 years ago
The key for a stem-and-leaf plot is 12|5 = 125.
muminat

Answer: Option C. 55

Solution:

The key for a stem-and-leaf plot is:

   12   |    5   =   12      5

Stem | Leaf = Stem Leaf

   55   |   6   =   55     6

Stem: 55

Leaf: 6                                                  

5 0
3 years ago
Read 2 more answers
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