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Tju [1.3M]
4 years ago
13

What are the zeros for both functions

Mathematics
1 answer:
sammy [17]4 years ago
5 0

Answer:

the zero of a function is the value of x which makes the final value zero

First Equation:

So let 25 - 2x equal to 0

<em>25 - 2x = 0</em>

x = 12.5

Second Equation:

Let 2x² - 11x - 6 equal to zero

<em>2x² - 11x - 6 = 0 </em>

<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>

<em>2x(x - 6) + 1(x - 6) = 0</em>

<em>(2x + 1) (x - 6) = 0</em>

So we can transpose either one of the brackets below the zero

(2x + 1) = 0                 or             (x-6) = 0

x = -1/2                      or             x = 6

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What is the length of the arc shown in​ red?
professor190 [17]

Answer:

≈ 18.8 cm

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

The central angle is equal to the arc subtending it, that is 60°

  arc = 2πr × \frac{60}{360}

        = 2π × 18 × \frac{1}{6}

        = 36π × \frac{1}{6}

        = 6π ≈ 18.8 cm ( to 1 dec. place )

3 0
3 years ago
3 red balls, 4 white balls, and 1 green ball are in a bag. Balls are drawn without replacement. Find the probability that the re
jolli1 [7]

The probability that the red balls can be drawn before the green ball is drawn is 3/8.

<h3>What is Probability?</h3>

The probability is the measure of the likelihood of an event to happen.

Given:

red balls= 3

white balls = 4

green balls = 1

So, Probability of red balls

=3/8

Probability of green balls

=1/7

Learn more about probability here:

brainly.com/question/14546377

#SPJ1

7 0
2 years ago
3/4x-5/4=1/3x<br> Explain your answer
Sonbull [250]

Answer:

3

Step-by-step explanation:

(3/4)x-(5/4)=(1/3)x

(3/4)x-(1/3)x=(5/4)

x((3/4)-(1/3))=(5/4)

(5/12)x=(5/4)

x=(5/4)/(5/12)

x=3

8 0
4 years ago
If t1 = 4, s1 = 5, and s2 = 2, determine the value of t2.
Len [333]

Answer:

t2=8/5

Step-by-step explanation:

using this formula

t1/s1 =t2/s2

4/5=t2/2

cross multiply

5t2=8

t2=8/5

8 0
2 years ago
A bullet with a mass of 0.005 kg is shot at a speed of 40
marin [14]

Answer:

combined velocity of the system = 0.033 m/s.

Step-by-step explanation:

taking the bullet and block as single system since there is no external force involved momentum is conserved .

initial momentum of the bullet = mv

where m is the mass of bullet and v is velocity of bullet.

and initial momentum of block = 0 since its velocity is 0.

therefore initial momentum of the system = mv

                                                                      = 0.005×40

                                                                      = 0.2

when the bullet stick of together with the block let the combined velocity of the system be V

therefore applying conservation of momentum

mv = (M+m)V

0.2=(6+0.005)V

therefore V = 0.033 m/s

7 0
3 years ago
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