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katovenus [111]
2 years ago
7

Solve each system using SUBSTITUTION. Remember to check!

Mathematics
1 answer:
Annette [7]2 years ago
7 0

Answer:

\left \{ {{x=3} \atop {y=-7}} \right.

Step-by-step explanation:

We can directly substitute y of the first equation to the second equation.

-2x - 1 = 3x - 16

5x = 15

x = 3

Substituting back to any of the two equations, we get y = -2(3)-1 = -7.  If you check with the second equation, y = 3(3)-16 = -7 as well.

Therefore \left \{ {{x=3} \atop {y=-7}} \right..

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Help me on this please
SVETLANKA909090 [29]

Answer:

20cm^2

Step-by-step explanation:

0.5x(7+3)x4=20cm^2

3 0
3 years ago
-
bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change.

f(3.5) = 25 means that:

ab^{3.5} = 25

a = \frac{25}{b^{3.5}}

f(8.5) = 14 means that:

ab^{8.5} = 14

Hence:

\frac{25}{b^{3.5}} \times b^{8.5} = 14

25b^5 = 14

b = \sqrt[5]{\frac{14}{25}}

b = 0.89

a = \frac{25}{0.89^{3.5}} = 37.59

Hence, the function is given by:

y = 37.59(0.89)^x

Then, when x = 5.5:

f(5.5) = 37.59(0.89)^{5.5} = 19.8

More can be learned about exponential functions at brainly.com/question/25537936

7 0
2 years ago
To study the effectiveness of a certain adult reading program, researchers will select a random sample of adults who are eligibl
navik [9.2K]

Answer:

c) A matched-pairs t-interval for a population mean difference

Step-by-step explanation:

Matched-Pairs t-Test. A matched-pairs t-test is used to test whether there is a significant mean difference between two sets of paired data.

6 0
3 years ago
NEED URGENT HELP!! WILL GIVE BRAINLIEST
Flauer [41]

1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.

\displaystyle\frac{2}{\sqrt{6}}=\frac{2}{\sqrt{6}}\cdot\frac{\sqrt{6}}{\sqrt{6}}\\\\=\frac{2\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\frac{2\sqrt{6}}{6}\\\\=\bf{\frac{\sqrt{6}}{3}}

2. Identify the squares under the radical and remove them.

5\sqrt{12xm^3}=5\sqrt{(4m^2)(3xm)}=5\sqrt{(2m)^2}\sqrt{3xm}\\\\=5\cdot 2m\sqrt{3xm}=\bf{10m\sqrt{3xm}}

7 0
3 years ago
Read 2 more answers
Find an equation of the line having slope -2 that passes through the point (1, 5)
Alenkasestr [34]
Slope of -2, (1,5)

y = mx + b
slope(m) = -2
(1,5)...x = 1 and y = 5
now we sub and find b, the y int
5 = -2(1) + b
5 = -2 + b
5 + 2 = b
7 = b
so ur equation is : y = -2x + 7

The approximation method used to estimate a point between 2 given points is called linear interpolation. The approximation method used to estimate a point that does not lie between 2 given points is called linear extrapolation.A linear function has the form f(x) = mx + b. Its graph is a line that has slope m and y intercept at (0,b).

8 0
3 years ago
Read 2 more answers
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