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2 years ago

What are the ordered pairs of the solutions for this system of equations? f(x)=x2-2x+3; f(x)=-2x+28

Mathematics

1 answer:

Alenkasestr [34]2 years ago

4 0

Answer: (5,18); (-5,38)

Step-by-step explanation:

x^2-2x+3=-2x+28

x^2-25=0

(x-5)(x+5)= 0

-2(5)+28= 18

-2(-5)+28=38

(5,18)(-5,38)

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The total price for 7 movie tickets is 92.40 . If each ticket costs the same amount, how much does one movie ticket cost?

horsena [70]

Answer:

$13.20

Step-by-step explanation:

total cost of tickets = $92.40

total number of tickets = 7

cost of each ticket

= total cost of tickets ÷ total number of tickets

= 92.40 ÷ 7

= $13.20

hope this helps

8 0

2 years ago

Read 2 more answers

Points X and Z are on a number line, and point Y partitions

abruzzese [7]

Answer:

The coordinate of $Z$ is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

$\frac{XY}{XZ} = \frac{5}{12}$ (1)

$\frac{YZ}{XZ} = \frac{7}{12}$ (2)

$X = 0.4$ (3)

$Y = 5.8$ (4)

From (2), we have the following expression:

$YZ = \frac{7}{12}\cdot XZ$

$Y-Z =\frac{7}{12}\cdot (X-Z)$

$Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z$

$Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z$

$\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X$

$5\cdot Z = 12\cdot Y-7\cdot X$

$Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X$ (5)

If we know that $Y = 5.8$ and $X = 0.4$ , then the coordinate of $Z$ is:

$Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)$

$Z = 13.36$

The coordinate of $Z$ is 13.36.

6 0

2 years ago

The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation

motikmotik

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill$

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2 years ago

The price of an item has dropped to 77$ today. Yersterday it was 140$. Find the percentage decrease.

Yuki888 [10]

Answer: It dropped 55%

Step-by-step explanation: well if you multiply 140x.55 it equals to 77

5 0

2 years ago

There was 2/3 of a fruitcake left over. Ella ate 1/5 of it. How much of the whole fruitcake did she eat?

liq [111]

2/3 * 1/5 = 2/15
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3 years ago