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andreev551 [17]

4 years ago

13

I need help to factor x^2+9x-10

1 answer:

Shtirlitz [24]4 years ago

8 0

What are two factors of -10 that add up to 9?
They are 10 and -1. 10*-1=-10
(x+10)(x-1)

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The normal body temperature of a camel is 37°C. This temperature varies by up to 3°C throughout the day. Write and solve an abso

uysha [10]

The normal body temperature : to = 37° C
An inequality is:
| t - to | ≤ 3
| t - 37 | ≤ 3
t - 37 ≤ 3     AND ( - t - 37 ) ≤ 3
t ≤ 3 + 37               - t + 37 ≤ 3
t ≤ 40                     - t ≤ 3 - 37
                              - t ≤ - 34   / *( - 1 )
                                t ≥ 34
Answer t <span>∈ [</span><span> 34</span><span>°C,</span><span> 40</span><span>° C ]</span>.

8 0

3 years ago

A traveling with thrill rides charges $9 for admission plus $1.50 for each ride you take. If you pay $19.50 total, how many ride

vichka [17]

Answer:

7 rides

Step-by-step explanation:

1. find the amount of money you spent on rides (total money spent - admission fee) = $19.50 - $9 = $10.50

2. find the number of rides you rode (money spent on rides/cost of each ride) = $10.50/$1.50 = 7

4 0

3 years ago

Albert and John are partners in a Bakery store. They needed $70,000 to start the business. They

Novosadov [1.4K]

Answer:

Albert invested 21,000 and John invested 49,000 :)

4 0

3 years ago

Read 2 more answers

A rugby player passes the ball 7.75 m across the field, where it is caught at the same height as it left his hand. At what angle

prisoha [69]

<u>Answer-</u>

<em>At 15.91° the ball was thrown.</em>

<u>Solution-</u>

<em>In the question it is given that the ball was released and caught from the same height.</em>

We know that,

$R=\frac{u^{2}\sin 2\Theta}{g}$

Where,

R = Range of the projectile = 7.75 m,

u = Initial speed = 12 m/s

θ = Angle at which it was released

g = Acceleration due to gravity = 9.8 m/s²

Putting all the values,

$\Rightarrow 7.75 = \frac{12^{2}\sin 2\Theta}{9.8}$

$\Rightarrow \sin 2\Theta=\frac{7.75 \times 9.8}{144} =0.5274$

$\Rightarrow 2\theta=\sin^{-1} 0.5274=31.83 \ or \ 148.17$

$\Rightarrow \theta=\frac{31.83}{2} \ or \ \frac{148.17}{2} =15.91 \ or \ 74.08$

$\Rightarrow \theta=15.91^{\circ} \ (smaller \ angle)$

3 0

3 years ago

Read 2 more answers

The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t

alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

$C'(t) = 0$

In this problem

$C(t) = \frac{100t}{t^{2} + 25}$

Applying the quotient derivative formula

$C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}$

A fraction is equal to zero when the numerator is 0. So

$-100t^{2} + 2500 = 0$

$100t^{2} = 2500$

$t^{2} = 25$

$t = \pm \sqrt{25}$

$t = \pm 5$

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0

3 years ago