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3 years ago

What is the t intercept of the line given by the equation below y= -10x + 14

Mathematics

1 answer:

wel3 years ago

3 0

Answer:

The y-intercept is (0,14) and the x-intercept is (7/5, 0).

Step-by-step explanation:

An intercept is where the line crosses the x-axis or y-axis. The y-intercept has the point (0,b) where b is the same b in y=mx+b. The y-intercept for this line is b=14 or (0,14).

The x-intercept is where y=0. Set the equation equal to 0 and solve for x to find it.

0 = -10x+14

-14=-10x

-14/-10 = x

7/5 = x

The x-intercept is (7/5, 0).

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Solve the M -5 m = -35

dedylja [7]

Answer: m = 7

Step-by-step explanation: In this equation, since a -5 is being multiplied by m, in order to get m by itself, we must divide both sides of the equation by -5.

On the left side, our -5's cancel out and we are left with m. On the right side, -35 ÷ -5 gives us 7. So m = 7.

To check our answer, we plug 7 back in for m in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

4 0

2 years ago

Find the domain of the function f of x equals the cube root of the quantity x plus three, minus one.

kifflom [539]

The domain of the function f of x equals the cube root of the quantity x plus three, minus one would be:

ALL REAL NUMBERS

I hope my answer has come to your help. God bless and have a nice day ahead!

8 0

2 years ago

Read 2 more answers

Help meeeeeeee please :(.

vodomira [7]

Answer:

$x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}$

Step-by-step explanation:

$x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}$

x + 3 / $x^{4} - 2x^{3}-21x^{2} -10x +22$

-( $x^{4} + 3x^{3}$ )

- $5x^{3} -21x^{2} -10x +22$

-( $-5x^{3} -15x^{2}$ )

$-6x^{2} -10x +22$

-( $-6x^{2} -18x$ )

8x +22

-(8x + 24)

$\frac{-2}{x + 3}$

4 0

3 years ago

Sara selects two of the seven colors of the rainbow, one after another, with replacement. What is the probability that the first

Triss [41]

Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:

-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.

The probability that she picks the red one is ( 1 / 7 ).

The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .

-- When she's ready to make her second selection, the same seven things with different colors are still in the pot. One of them is orange.

The probability that she picks the orange one is ( 1 / 7 ).

-- The probability of BOTH selections being successful (the color she wants) is

(1/7) x (1/7) .

That's (1/49), which is about 2.04 percent .

3 0

3 years ago

Nathan just bought a car. He models the value, V, in dollars, of the car after t years as V(t)=21,000(0.861)^t. Based on this mo

Snezhnost [94]

Answer:

Value of the car is decreasing by 13.9% each year.

Step-by-step explanation:

This equation tells us V(t) is the value of the car after a certain time in years, $21,000 is the initial value of the car. What we need to focus on is on the 0.861 part of this equation. This means that the price of the car is worth 0.861 or 86.1% of what it was worth the year prior, this means that the price of the car is decreasing over time. By how much is it decreasing? Well if we consider 1 to mean 100% (since 100 / 100 =1) then we have 100%-86.1%=13.9%. This means that the value of the car is decreasing 13.9% each year.

6 0

2 years ago