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Kaylis [27]
3 years ago
13

Solve for x. Assume that lines which appear to be diameters are actually diameters​

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0

Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

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Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

8 0
3 years ago
A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of
katen-ka-za [31]

Answer:

Larger sample size gives less std error and hence test statistic is larger.

Step-by-step explanation:

Given that a newspaper  is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate

Group        I   II

Success    640 64

Total   1200 120

p 0.533333333 0.533333333

q 0.466666667 0.466666667

se 0.014401646 0.045542003

p diff 0.033333333 0.033333333

Z 2.314550249 0.731925055

p      0.01           0.233

we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger.  So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis

3 0
3 years ago
Nicholas sprints the length of a football field. If a football field measures 100 yards and 1 yard is approximately 0.914 meter,
KatRina [158]

Answer:

91.4 meters

Step-by-step explanation:

From the question:

1 yard = 0.914 meter

100 yards = x meters

x meter = 100 × 0.914 meters

x = 91.4 meters

Therefore, Nicholas sprinted 91.4 meters

8 0
3 years ago
Read 2 more answers
Find the volume of the prism shown
galina1969 [7]

Answer:

The answer is 450

Step-by-step explanation:

V = l*w*h

V = 15*10*3

V= 450

8 0
3 years ago
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Graph A, I just graph it trust me
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