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alisha [4.7K]
2 years ago
15

4. What are the zeroes of y = x^2 + 2x – 8? (1 point) -4, 2 4, 2 -4,2 4, 2

Mathematics
2 answers:
Verizon [17]2 years ago
5 0

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

Arte-miy333 [17]2 years ago
3 0

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

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Explain the steps <br><br> 3(2y + 5) = -21
Vera_Pavlovna [14]

Answer:

-6

Step-by-step explanation:

3(2y+5)=-21

2y+5=-21/3

2y+5=-7

2y=-7-5

2y=-12

y=-12/2

y=-6

7 0
3 years ago
What is the degree measure of z <br> A.29<br> B.39<br> C.68<br> D.41
r-ruslan [8.4K]

Answer:

\Huge\boxed{C.68}

Step-by-step explanation:

Hello There!

The exterior angle of a triangle rule is that the exterior angle  is equal to the sum of the interior opposite angles

So essentially what I'm saying is that

z = 29 + 39

29+39=68 therefore the measure of angle z is 68

4 0
3 years ago
A recent study found that 81?% of? breast-cancer cases are detectable by mammogram. Suppose a random sample of 11 women with bre
elena-s [515]

Answer:

9.847 %

Step-by-step explanation:

Be p1 the probability that the mammogram detect breast cancer in a woman.

p1=81%.

The probability 'P' that independent and consecutive 'n' singular events with p probability occur is:

P=p_{1} ^{n}

In this case:

P: Probability that breast cancer be detected on 11 women with breast cancer.

P=0.81^{11}=0.09848

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7 0
3 years ago
A right triangle is graphed on a coordinate plane. Find the length of the hypotenuse. Round your answer to the nearest tenth. ​
Hoochie [10]

Answer:

7.6

Step-by-step explanation:

From the graph, we know the lengths of two legs.

  a = 3

  b = 7

Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember,  a^2 + b^2 = c^2)

c = √a2 + √b2  

= √(7)2 + √(3)2

= √49 + √9

= √58

= 7.6

8 0
3 years ago
1/2(4x-2)-2/3(6x+9) greater or equal to 4
Simora [160]
1/2(4x-2)-2/3(6x+9)
(2x-1)-(4x+6)
2x-1-4x+62x-4x-1+6
-2x+5=2.5
So I believe that it is greater than 4
8 0
3 years ago
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