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drek231 [11]
3 years ago
12

What do I do steps? please help

Mathematics
1 answer:
skad [1K]3 years ago
8 0
Area = Length x Width

so, 88 = (something) x 8
Can you work out the something using mental math?
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What is the slope of this line?<br><br> A. -1/2<br> B. 1/2<br> C. -2<br> D. 2
SVEN [57.7K]

We can find the slope of this line by using the slope formula:

\frac{y.2 - y.1}{x.2 - x.1} = m

We'll use the points (-6, 0) and (0, -3)

(-3 - 0) / (0 + 6) = -3/6 = -0.5

The slope of the line is A, -1/2



5 0
3 years ago
Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x.
Leni [432]

Answer:

a)

g(2.9) \approx -6.6

g(3.1) \approx -3.4

b)

The values are too small since g'' is positive for both values of x in. I'm speaking of the x values, 2.9 and 3.1.

Step-by-step explanation:

a)

The point-slope of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on that line.

We want to find the equation of the tangent line of the curve g at the point (3,-5) on g.

So we know (x_1,y_1)=(3,-5).

To find m, we must calculate the derivative of g at x=3:

m=g'(3)=(3)^2+7=9+7=16.

So the equation of the tangent line to curve g at (3,-5) is:

y-(-5)=16(x-3).

I'm going to solve this for y.

y-(-5)=16(x-3)

y+5=16(x-3)

Subtract 5 on both sides:

y=16(x-3)-5

What this means is for values x near x=3 is that:

g(x) \approx 16(x-3)-5.

Let's evaluate this approximation function for g(2.9).

g(2.9) \approx 16(2.9-3)-5

g(2.9) \approx 16(-.1)-5

g(2.9) \approx -1.6-5

g(2.9) \approx -6.6

Let's evaluate this approximation function for g(3.1).

g(3.1) \approx 16(3.1-3)-5

g(3.1) \approx 16(.1)-5

g(3.1) \approx 1.6-5

g(3.1) \approx -3.4

b) To determine if these are over approximations or under approximations I will require the second derivative.

If g'' is positive, then it leads to underestimation (since the curve is concave up at that number).

If g'' is negative, then it leads to overestimation (since the curve is concave down at that number).

g'(x)=x^2+7

g''(x)=2x+0

g''(x)=2x

2x is positive for x>0.

2x is negative for x.

That is, g''(2.9)>0 \text{ and } g''(3.1)>0.

So 2x is positive for both values of x which means that the values we found in part (a) are underestimations.

6 0
3 years ago
Question 1 (1 point)
alisha [4.7K]

Answer:

See below

Step-by-step explanation:

1) x=2-1

x=1

2) (x+1)(x+1)=2(x+1)

3) 10x-20 -11 = 4+3x

10x-3x=20+11+4

7x=35

x=5

5 0
3 years ago
What’s the correct answer for this question?
djyliett [7]
Answer is 7
Step by step explanation
|-7|=7
8 0
2 years ago
Sides of three square rooms measure 13 feet each, and sides of two square rooms measure 15 feet each. Which expression shows the
djverab [1.8K]
I believe the correct answer is 3×13^4+2×15^4=total area 
4 0
3 years ago
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