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3 years ago

Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0

Mathematics

1 answer:

Ivan3 years ago

7 0

Answer:

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

Hope this helps you

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The height of a cable that runs between two supports on a suspension bridge can be modeled by a quadratic function () where is t

Murrr4er [49]

What is the vertex

Its vertex is at (36, -10)

Let us assume that the left edge of the cable is at the origin.

Since the cable is at its lowest height 10 feet halfway between the two supports, the y-coordinate of its lowest point is -10 ft and the x coordinate is 72 ft/2 = 36 ft.

So, its vertex is at (36, -10)

Axis of symmetry

The y-axis.

Since the cable is symmetric about its lowest point, the axis of symmetry is the y-axis.

Domain

The domain is (0, 72).

Since the minimum value of its x-coordinate is at the origin which is x = 0 and the maximum value is at the other support which is at x = 72 ft,

the domain is (0, 72).

Range

The range is (0, -10)

Since the minimum value of the y-coordinate is -10ft and the maximum value is at the origin y = 0,

the range is (0, -10)

x and y-intercepts

The x-intercept is (0, 72) and the y-intercept is (0, 0)

Since the cable is attached at the origin and at 72 feet away from the origin at the other support, the x-intercept is 0 and 72 ft and the y-intercepts are 0 and 0.

So, the x-intercept is (0, 72) and the y-intercept is (0, 0)

Learn more about quadratic functions here:

brainly.com/question/10606041

5 0

3 years ago

15 points!!!!!!!:

docker41 [41]

Gizmo can eat 10/3 * 2 = 6 2/3 bowls in 10 minutes
Leo can eat 10/6 * 1 = 1 2/3 bowls in 10 minutes

Together they can eat 8 1/3 bowls in 10 minutes.

3 0

4 years ago

Read 2 more answers

The probability that a randomly selected 40-year-old female will live to 41 years old is 0.998 according to a study. What is the

Lostsunrise [7]

Answer:

Step-by-step explanation:

he probability that a randomly selected 40-year-old female will live to 41 years old is 0.998 according to a study. What is the probability that none of two randomly selected 40-year old females will live to be 41 years old?

4 0

3 years ago

If anybody now this pls help my homework due TOMORROW

Nezavi [6.7K]

Answer:

<u><em>Part A:</em></u> D. $y = (x + 1)(x+3)\\$

<u><em>Part B:</em></u> C. $3x(x-3) = 0\\$

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: $y = (x + 1)(x+3)$

Now plug in 0 for x.

$y = (0 + 1)(0+3)\\$

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: $3x(x-3) = 0$

Now plug in x for 0 and solve:

$3* 0 (0-3) = 0\\$

$0(-3) = 0\\$

$0 =0\\$

This equation is true, now we check for the other value of x, 3.

$3*3(3-3) = 0\\$

$9(0) = 0\\$

$0 =0\\$

This is also true so that means this is the correct answer.

6 0

3 years ago

One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui

Oksana_A [137]

Answer: 90% confidence interval would be $(-0.2483,-0.0717)$

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, $p_m=\dfrac{10}{50}=0.2$

n₂ = 50

Number of electronic tagged penguins = 18

So, $p_e=\dfrac{18}{50}=0.36$

So, at 90% confidence interval, z = 1.28

So, interval would be

$(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)$

Hence, 90% confidence interval would be

$(-0.2483,-0.0717)$

6 0

3 years ago