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svetlana [45]
3 years ago
12

Can anyone help me asap plzz.

Mathematics
2 answers:
Katarina [22]3 years ago
6 0

Answer:

solve the inequality

     \frac{c}{-3} \geq 3

(A)c ≤ 9

(B)9 ≤ c

<u> (C)–9 ≤ c </u>

(D)c ≤ –9

Step-by-step explanation:

times both sides by -3 and you get c>=-9

alexandr1967 [171]3 years ago
5 0

the answer is c.

you have to multiply by -3 on both sides to get c on its own.

therefore, c is greater than or equal to -9.

in a, c is less than or equal to 9 so thats not the answer.

In b, c is greater than or equal to 9 but it has to be -9.

in d, c is less than or equal to -9.

the answer is c

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Solve the system of equations y = 40x2 and y = 19x + 3 algebraically.
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We have been given a system of nonlinear equations.

\\y=40x^{2},y=19x+3

In order to solve this system we can first equate the two equations in order to get a quadratic in x.

\\40x^{2}=19x+3

Our next step is to bring all the terms on one side.

\\40x^{2}-19x-3=0

Now we have to solve this equation. We can solve it by factoring using the splitting middle term method.

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\\(8x+1)(5x-3)=0

Upon setting each of these factors equal to zero using zero product property we get

\\8x+1=0 \text{ or } 5x-3 = 0

Upon solving both these equations we get

\\x=-\frac{1}{8} \text{ or } x=\frac{3}{5}

Now we can substitute these values of x in the equation

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We get

\text{For }x=- \frac{1}{8} \Rightarrow y=19(- \frac{1}{8})+3= \frac{5}{8}\\

\text{For }x= \frac{3}{5}\Rightarrow y=19( \frac{3}{5})+3= \frac{72}{5}\\

Therefore, our final set of solutions are

(x,y)=(- \frac{1}{8},\frac{5}{8}) \text{ and } ( \frac{3}{5}, \frac{72}{5})


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