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3 years ago

Evaluate 4(x - 3) + 5x - x2 for x = 2.

Mathematics

2 answers:

elixir [45]3 years ago

7 0

Answer:

for x = 2

Step-by-step explanation:

Marysya12 [62]3 years ago

7 0

Answer:

The value of the expression for x=2 is 2.

Step-by-step explanation:

Consider the provided expression.

$4(x - 3) + 5x - x^2$

We need to find the value of expression for x=2.

Substitute the value of x=2 in provided expression and simplify as shown.

$4(2 - 3) + 5(2) - 2^2$

$4(-1) + 10 - 4$

$-4 + 6$

$2$

Hence, the value of the expression for x=2 is 2.

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what equation in slope intercept form for the line that passes through point (8,-3) and has a y intercept of -2

JulijaS [17]

Answer:

y=-8x-2

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.

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4 years ago

The coordinates of points M,N, and P are ....

Rainbow [258]

Answer:

(-1, -1) Let me know if the explanation didn't make sense.

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect. We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

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3 years ago

The McLean family drove 302.5 miles in 5.5 hours. How many miles could they drive at this rate in 4 hours?

Margaret [11]

The McLean family could drive 220 miles in four hours.

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4 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

<u> Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000</u>

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

4 years ago

Which equation matches the graph?

lyudmila [28]

Cnsndjdjdkdkkdkdododododooopaospdppf

4 0

3 years ago

Read 2 more answers

Evaluate 4(x - 3) + 5x - x2 for x = 2.​

Evaluate 4(x - 3) + 5x - x2 for x = 2.