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3 years ago

(2,-1) y-intercept -3 slope 1/2 Write an equation with the given info above.

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

y-intercept -3

slope 1/2

is sufficient info with which to write an equation for a straight line:

y = mx + b becomes y = (1/2)x - 3.

You should check this by determining whether or not (2,-1) satisfies this equation.

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For f(x)=3x+2 and g(x)=x^2-6, find (f o g)(4)

agasfer [191]

Answer:

Step-by-step explanation:

Evaluate g(4), then substitute the value obtained into f(x) , that is

g(4) = 4² - 6 = 16 - 6 = 10, then

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3 years ago

Whats the answer to this question?

Ilia_Sergeevich [38]

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Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the c

SVEN [57.7K]

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = $x$ pounds

Cost of 1 pound = $8.24

Cost of $x$ pounds = $8.24 $\times x$

Writing the equation as per question statement:

$80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}$

Therefore, 5 pounds of coffee was bought.

3 0

3 years ago

£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time

Mekhanik [1.2K]

Answer:

£42

Step-by-step explanation:

The ratio of Richard's amount to Stephen's amount is ...

R : S = 3 : 1

The ratio of Natasha's amount to Richard's amount is ...

N : R = 2 : 1 = 6 : 3

Then the ratio of all three amounts is ...

N : R : S = 6 : 3 : 1

The proportion of the total that Natasha gets is ...

6/(6+3+1) = 6/10

so she gets ...

(6/10)×£70 = £42

Natasha gets £42.

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3 years ago

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