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3 years ago

PLEASE ANSWER + BRAINLIEST!!

1 answer:

3 0

Looking at x^2 - x - 30, we see that 5*6=30, so we can immediately conclude that x^2 - x - 30 = (x+5)(x-6). check this by multiplication.

2m^2 - 2m - 60 can be reduced to 2(m^2 - m - 30), which in turn can be factored as 2(m+5)(m-6). The trick here is to notice how easily "2" can be factored out of the given equation.

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When an object is thrown upwards with a speed of 64 ft/sec, its height above the ground is given by the function h(t)=−16t2+64t

Svet_ta [14]

Answer:

The object will reach its highest point 0.5 seconds after it has been thrown.

Step-by-step explanation:

The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:

$v(t) = \frac{d}{dt}h(t)$ (1)

Where $v(t)$ is the velocity of the object at time $t$ , in feet per seconds.

If we know that $h(t) =-16\cdot t^{2}+64\cdot t$ and $v(t) = 0\,\frac{ft}{s}$ , then the time when object reaches its highest point is:

$v(t) = -32\cdot t+64$

$-32\cdot t + 64 = 0$

$t = 0.5\,s$

The object will reach its highest point 0.5 seconds after it has been thrown.

3 0

2 years ago

The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket

Hoochie [10]

Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.

Answer:

1300 children attended the basketball game

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500 [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050 [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x + 11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

5 0

3 years ago

Murtha has decided to start a pebble collection. She collects one pebble the first day and two pebbles on the second day. On eac

Musya8 [376]

Answer:

Step-by-step explanation:

Given that:

First day (a) = 1

1 more pebble every subsequent day than the previous day

Tn = a + (n - 1)d

d = common difference ; difference between pebbles in two successive days = 1

n = nth day

At the end of the 12th day;

Tn = a + (n - 1)d

T(12) = 1 + (12 - 1) 1

T(12) = 1 + 11

T(12) = 12

Appling the sun if arithmetic progression formula : Sum of AP:

n/2 (a + Tn)

n = number of terms

12/2 (1 + 12)

6(13)

= 78

4 0

3 years ago

What is 1/2 divided by 4?

Natasha_Volkova [10]

1/2/4=1/2 x 1/4 = 1/8

8 0

2 years ago

Read 2 more answers

What are the measures of angles M and N?

romanna [79]

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

7 0

2 years ago