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3 years ago

5

Before sunrise, the temperature was 22.4°F below zero. By noon, it had risen 12.8°F. What expression can be used to find the

2 answers:

mrs_skeptik [129]3 years ago

8 0

Answer:

-22.4+12.8

Step-by-step explanation:

If the temperature started at 22.4 below zero you would write that as -22.4 because it had risen 12.8 degrees you would add those 12.8 degrees to -22.4

MrMuchimi3 years ago

6 0

Answer:-22.4+12.8

Step-by-step explanation:

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What is the difference between adding and subtracting??/

Naya [18.7K]

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3 years ago

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

7 0

3 years ago

Sally has 13 baseball cards in each week her grandpa bring 7 more sally created this equation y=7x +13 use the equation to answe

fiasKO [112]

Answer:

13 means the starting number

13 is the y-intercept (0,13)

5 0

3 years ago

The Percent of increase

ANEK [815]

Percent of Increase = Increase / Original * 100%

Increase = $33 - $30 = $3
Original Price = $30

Percent Increase = $3 / $30 * 100% ==== 10%

5 0

3 years ago

Read 2 more answers

Find the volume of the figure.<br> 2.25 m<br> 4<br> m<br> 2.5 m<br> no

liberstina [14]

<u>Given</u>:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

<u>Volume of the triangular prism:</u>

The volume of the triangular prism can be determined using the formula,

$V=\frac{1}{2}bhl$

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

$V=\frac{1}{2}(2.5)(2.25)(4)$

$V=\frac{1}{2}(22.5)$

$V=11.25 \ m^3$

Thus, the volume of the triangular prism is 11.25 m³

4 0

3 years ago