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3 years ago

Please answer and show formula!

Mathematics

1 answer:

kozerog [31]3 years ago

6 0

There is no formula, If i'm reading the graph right the zero's for the first one are 5 and 30. For the second one it is -50 and 50

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Dr. Strauss has a bottle that contains 18 ounces of medicine. How many one-fourth ounce doses are

Aneli [31]

Answer:72 IS THE ANSWER

Step-by-step explanation:

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4 years ago

Question 10(Multiple Choice Worth 1 points)

Radda [10]

Answer:

$x = 15$ and $x = -9$

(None of the answer choices fits. See explanation below)

Step-by-step explanation:

In mathematics, the modulus of a number, denoted by enclosing the number within vertical bars is the absolute value of the number. If the number is negative the sign is disregarded and the number is treated as positive

For example, $| -10 | = 10$ and $| 10 |$ is also $10$

Solve for $| x- 3 |$ in the equation

$\frac{1}{2} | x-3 | + 4 = 10$

Subtracting 4 on both sides yields $\frac{1}{2} | x-3 | + 4 -4 = 10 - 4$

Simplifying $\frac{1}{2} | x-3 | = 6$

Multiplying by 2 on both sides yields $| x-3 | = 12$

We do not know if |x-3| is negative or positive since $|-12| = |12| =12$

So we have 2 possibilities

If $x - 3$ is negative, then $x - 3 = -12$ ==> $x = -9$

If $x -3$ is positive, then $x-3 = 12$ ==> $x = 15$

So the possible values are $x = -9$ and $x = 15$

None of the answer choices fits these values indicating either an error in the answer choices or the original equation

7 0

2 years ago

How to get x by it's self 12 - 12x = -6x + 48

anastassius [24]

Answer:

Step-by-step explanation:

12 - 12x = -6x + 48

Add 12x to both sides. That eliminates the x term on the left side.

12 = 6x + 48

Subtract 48 from both sides. That eliminates the constant term on the right side.

-36 = 6x

x = -6

8 0

3 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

Solve for x. " fx+g=h"

kkurt [141]

I hope this helps you

3 0

4 years ago