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Akimi4 [234]
2 years ago
15

Which choices are solutions to the following equatior Check all that apply. X^2 -5x=-9/4

Mathematics
1 answer:
svlad2 [7]2 years ago
7 0

The solution of the equation 4x² - 20x + 9 = 0 will be 0.5 and 4.5.

<h3>What is a quadratic equation?</h3>

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

x² - 5x = -9/4

Then the equation can be written as

4x² - 20x + 9 = 0

Then the factor of the equation will be

4x² - 20x + 9 = 0

4x² - 18x - 2x + 9 = 0

2x(2x - 9) -1 (2x - 9) = 0

(2x - 1)(2x - 9) = 0

Then the solution of the equation 4x² - 20x + 9 = 0 will be

x = 0.5, 4.5

More about the quadratic equation link is given below.

brainly.com/question/2263981

#SPJ1

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A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp
Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 70} \\ \\  \mathtt{H_1 : \mu > 70 }

The z score for this statistics can be calculated by using the formula:

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}

z = \dfrac{3}{\dfrac{7}{5}}

z = \dfrac{3 \times 5}{{7}{}}

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at   level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value =  1 - 0.9839

P - value =  0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0
3 years ago
I need help please.....
maria [59]
Here, Function: h(t)= -16t² + 70t + 40

So, put the value of t, (time at which you want to calculate the height)

h(1) = -16(1)² + 70(1) + 40
h(1) = -16 + 110
h(1) = 94

Now, h(2) = -16(2)² + 70(2) + 40
h(2) = -64 + 180
h(2) = 116

h(3) = -16(3)² + 70(3) + 40
h(3) = -144 + 250
h(3) = 106

In short, Your height depends on time, and at each time it would be different, can be expressed by the coordinates on a Graph: (1, 94) (2, 116) (3, 106)

Hope this helps!


8 0
3 years ago
Encuentra el valor medio punto pendiente m=5 p(3,-2)
Tresset [83]

Answer:

y=5x−17

Step-by-step explanation:

8 0
2 years ago
Find the value of x in the triangle shown below.
lawyer [7]

Answer: 42

Step-by-step explanation:

The total degrees a triangle can have is 180

180-109-29 = 42

3 0
3 years ago
(a) The perimeter of a rectangular parking lot is 332 m.
Minchanka [31]
The answer should be 91 because for your total perimeter you add all the sides. So you already have your length of 75 which counts as 2 sides and equals up to 150. after you subtract your two sides from your perimeter you get 182. you then divide 182 by 2 to get your two remaining sides which gives you 91.
3 0
3 years ago
Read 2 more answers
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