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Semmy [17]
3 years ago
12

2k^2 + 9k = -7 using quadratic equation

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:(k+1)(2K+7)

Step-by-step explanation:

Using the quadratic formula

X=-b±-√b^2-4ac/2a

ax^2+bx+c=0

2k^2+9k+7=0

In this case a=2,b=9,c=7

-9+-√9^2-4(2)(7)/2(2)

(-9+√25)/4=-9+5/4=-1

(-9-√25)/4=-14/4 =-7/2

X=-1,X=-7/2

So (K+1)(k+7/2)

So (k+1)(2k+7)

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What’s the length of AG?
Ivenika [448]
Answer:

Explanation:
10^2 + 5^2 = c^2
100 + 25 = 125^2
sqrt of 125^2 = 11.2 (rounded-off)
4 0
3 years ago
Jonathan and Timothy are playing on a seesaw during recess. The height, in feet, of Timothy after x seconds is represented by th
Furkat [3]

Answer:

D. [0,4]

Step-by-step explanation:

We are provided with the graph of height of seesaw with respect to time.

The new graph is transformed from the function y = cosx,

It is required to find the range of the transformed function.

Now, as we know the range (i.e. the values where y varies) of cosx is [-1,1] and the new function is a transformed version of cosine function.

So, the values of y are varying from minimum value 0 to maximum value 4 in the given graph.

Hence, the range of the transformed function is [0,4].

5 0
4 years ago
Read 2 more answers
Marty joined Movies R U for a $12 fee and an agreement to pay $2.50 per movie he rents. The equation for his total cost is y = 2
RUDIKE [14]

Answer:

$74.50

Step-by-step explanation:

Using their given equation, y = 2.50x + 12, we can substitute 25 for x in order to solve it.

y = 2.50x + 12

y = 2.50(25) + 12

y = 62.50 + 12

y = 74.50

Therefore, Marty pays $74.50 for the total price if he rents 25 movies.

4 0
3 years ago
What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0
2 years ago
he Federal Bureau of Prisons collects data on inmates including age, race, location number (a number that identifies the prison
anygoal [31]

Answer:

location number, type of crime, race

Step-by-step explanation:

Federal Bureau of Prisons or the FBP is a federal law enforcement bod of the United States. It is responsible for the custody, control and care of the incarcerated individuals. It has its headquarter at Washington, D.C.

A categorical variable has one or two categories but no intrinsic ordering.

In the context, the FBP collects the following categorical data of the inmates. They includes the race, the type of crime they have committed and the location number of the prisoners.

3 0
3 years ago
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