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QveST [7]
2 years ago
5

Solve the system of linear equations by graphing.

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
6 0
The answer is a) x=-4.5, y=-4.25
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Seven friends picked 7 quarts of blueberries. Three of the friends will share 4 quarts of blueberries equally and the other 4 fr
lesantik [10]
The three friends sharing 4 quarts get a greater amount of blueberries because they each get over 1 quart while in the other group each friend gets less than one quart.
Hope this helps.
6 0
3 years ago
Read 2 more answers
The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7
Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

b'=\frac{2x}{2}=x

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

13^2=x^2+(x+7)^2

Simplify the expression:

169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120

Use the quadratic formula, where:

a=2\\b=14\\c=-120

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}

x_1=5\\x_2=-12

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

b=2x=2(5)=10

7 0
3 years ago
A large company put out an advertisement in a magazine for a job
vova2212 [387]

Answer:

<em>C(19)=12 responses</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

C(t)=90\cdot(1-0.1)^t

Calculating:

C(t)=90\cdot(0.9)^t

We are required to calculate the number of responses at day t=19, thus:

C(19)=90\cdot(0.9)^{19}

C(19)=12 responses

8 0
3 years ago
What is the radical and simplest form of 16 5/4
Inga [223]

Answer:

17 1/4 or 69/4

Step-by-step explanation:

Hope it helped

3 0
3 years ago
4(5x - 2) = 72<br> What do I do
Pepsi [2]

Answer:

x = 4

Step-by-step explanation:

4(5x - 2) = 72

Do the distributive property

20x - 8 = 72

Then add 8 to both sides to get 20x alone

20x - 8 = 72

      + 8  + 8

20x = 80

Then divide both sides by 20 to get x

\frac{20x}{20} = \frac{80}{20}

x = 4

6 0
3 years ago
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