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strojnjashka [21]
2 years ago
11

The domain of a function g(x) is x < 2, and the range is y> 0. What are the

Mathematics
1 answer:
zavuch27 [327]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Domain and ranges of inverse functions are swapped.

Domain of the original is the range of the inverse and vice versa.

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Find the equation of a line that goes through the points (8, -9) and (-4, 15).
Natasha_Volkova [10]

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)

m = \frac{15+9}{-4-8} = \frac{24}{-12} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, - 9), then

- 9 = - 16 + c ⇒ c = - 9 + 16 = 7

y = - 2x + 7 ← equation of line

3 0
3 years ago
What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
Anni [7]

Answer: 3x + 6 -4x = 1

Simplify to -x + 6 = 1 because 3x - 4x = -1x

5 0
3 years ago
Pam bought a pair of shoes on sale for $22.40. If this was 20%. Off the original price, find the original price of the shoes
Rus_ich [418]

Answer:

26.88

Step-by-step explanation:

20%*22.40=4.48

22.40+4.48=26.88

3 0
2 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
What is 2/3 of 3/5 ?
Greeley [361]

Answer:

\frac{2}{5}

2/5

Step-by-step explanation:

to multiply fractions, multiply the numerators together and the denominators together:

\frac{2}{3}  x \frac{3}{5}

\frac{2*3}{3*5}

\frac{6}{15}

\frac{2}{5}

3 0
3 years ago
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