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2 years ago

What is the reasonable estimate for the product of 43 x 68

Mathematics

2 answers:

Advocard [28]2 years ago

6 0

Answer:

2800

Step-by-step explanation:

43 × 68 = 2800

Please mark me as brainliest

pickupchik [31]2 years ago

4 0

Answer:

2800

Step-by-step explanation:

Just round the 43 to 40 and the 68 to 70. So the problem then converts to 40x70 to get a rough estimate. 40x70=2800

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A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

tia_tia [17]

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

$\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}$

Therefore:

$\displaystyle x=\frac{64\pm8\sqrt{59}}{32}$

Simplify:

$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

$\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08$

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

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3 years ago

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antoniya [11.8K]

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If wandas motherly take-home is $3,000 her fixed monthly expenses are $2,575 and get average monthly variable expenses are $855

anastassius [24]

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2 years ago

Q # ..19 anybody help me?

Goshia [24]

The equation of the line with slope m and passing through the point $(x_0,y_0)$ is

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Answer: correct choice is B.

3 0

3 years ago

Eumin pays $3.56 for 4 juice boxes.

Alborosie

Answer:

No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23

Step-by-step explanation:

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