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3 years ago

If f ( x ) is a linear function, f ( − 1 ) = − 4 , and f ( 2 ) = 1 , find an equation for f ( x ) in slope-intercept form.

1 answer:

6 0

Linear functions are given in the form:
y = mx + n
m slope
n y-intercept

Inserting the given values:
-4 = -1m + n
1 = 2m + n

Solve for m and n.

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Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

5 0

3 years ago

Of 5

patriot [66]

Answer:

Let me take 2,3,3 be 2x, 3x, 3x

Colin = 2x

Natasha = 3x

Angad = 3x

The equation forms to find out the value of x

2x + 3x + 3x = 48

=> 8x = 48

=> x = 48/8

=> x = 6

So share of Colin = 2x = £(2×6) = £12

Share of Natasha = 3x = £(3×6) = £18

share of Angad = 3x = £(3×6) = £18

For proof

£12 + £18 + £18 = £48

Hope it helps

8 0

3 years ago

Americans consume about 13,150,000,000 gallons of carbonated drinks each year. Express this number in scientific notation.

ExtremeBDS [4]

It would be 1.315 × 10¹⁰.

8 0

3 years ago

What is 52cm as a fraction of 90cm? (as a simplified fraction)

katrin2010 [14]

Answer:

$\frac{26}{45}$ and $\frac{3}{11}$

Step-by-step explanation:

(a)

Expressing as a fraction

$\frac{52}{90}$ ( divide numerator/ denominator by 2 )

= $\frac{26}{45}$ ← in simplest form

(b)

Expressing as a fraction

$\frac{30}{110}$ ( divide numerator/ denominator by 10 )

= $\frac{3}{11}$ ← in simplest form

5 0

3 years ago

A girl's feet are negative 4/5 yards from the surface of a pool. A boy's feet are negative 2/5 yards from the surface of the poo

sineoko [7]

Answer:

The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.

4 0

3 years ago