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EleoNora [17]
2 years ago
12

Please I need Help!!! Solve this equation by factoring by grouping x^2-4x=12. All work must be shown and no other method will be

accepted.
Mathematics
1 answer:
gtnhenbr [62]2 years ago
6 0

x² - 4x = 12

x² - 4x - 12 = 0

x² + (2x - 6x) - 12 = 0

x² + 2x - 6x - 12 = 0

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

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

Then the solutions are x = 6 or x = -2.

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Which equation can be solved using the expression StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (10) (2) EndR
katen-ka-za [31]

Answer: B.  2 = 3x + 10x2

Step-by-step explanation:

This is the concept of quadratic equations; We required to find the type of equation that can be solved using the model that has been used to solve the equation such that the answer is:

[-3+-sqrt(3^2+4(10)(2))]/(2(10))

The formual that was applied here was a quadratic formula given by:

x=[-b+\-sqrt(b^2-4ac)]/2a

whereby from the our substituted values above,

a=10,b=3 and c=-2

such that the quadratic equation will be:

10x^2+3x-2 

3 0
3 years ago
Read 2 more answers
Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.
zavuch27 [327]
f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\
f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\
f(1)>0\\
f(2)
It does.
3 0
3 years ago
In the figure, m<2 = 83, and m<21 = 68. Find the measure of each angle
zhuklara [117]

Answer:

m<1 = 97

m<2 = 83

m<3 = 112

m<4 = 68

m<5 = 112

m<6 = 68

m<7 = 97

m<8 = 83

m<9 = 97

m<10 = 83

m<11 = 112

m<12 = 68

m<13 = 112

m<14 = 68

m<15 = 97

m<16 =  83

Step-by-step explanation:

8 0
3 years ago
The average amount of time that students use computers at a university computer center is 36 minutes with a standard deviation o
frosja888 [35]

Answer:

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 5

The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 36}{5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

1 - 0.7881 = 0.2119

So 21.19% of the students use the computer for longer than 40 minutes.

Out of 10000

0.2119*10000 = 2119

2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.

8 0
3 years ago
Given f(x) = x and h(x) = f(x) - 3, how does h(x) compare to f(x)?
olga2289 [7]

Answer:

H(x) is less than f(xl

Step-by-step explanation:

Whether f(x)=3 or -4, h(x)'s value will always be less than f(x).

7 0
3 years ago
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