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Anika [276]
2 years ago
13

If f(x)=x2+3x−2, find f(−2).

Mathematics
2 answers:
Arturiano [62]2 years ago
4 0

Answer:

Answer:f(-2)=-12

Step-by-step explanation:

Apply the (-2) to the x in the equation

(-2)2+3(-2)-2

Simplify

-4-6-2

-12

Nezavi [6.7K]2 years ago
3 0

Answer:f(-2)=-12

Step-by-step explanation:

Apply the (-2) to the x in the equation

(-2)2+3(-2)-2

Simplify

-4-6-2

-12

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Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0
3 years ago
Write an equation of a line that passes through the point (-5,3) and is parallel to the line y = -2x + 5.
zimovet [89]

Answer:

Step-by-step explanation:

y = -2x+5

slope of line is -2.

slope of parallel to line is also -2

point-slope equation for line of slope -2 that passes through (-5,3):

y-3 = -2(x+5)

8 0
2 years ago
Tickets at a play cost $10 or $14. If 800 tickets were sold and $9,040 was collected by the box office, how many $14 tickets wer
pav-90 [236]
STEP 1:
determine equations needed

x= # of $10 tickets
y= # of $14 tickets

QUANTITY EQUATION
x + y= 800

COST EQUATION
$10x + $14y= $9,040


STEP 2:
multiply quantity equation by -14

-14(x + y)= -14(800)
-14x - 14y= -11,200


STEP 3:
add new quantity equation in step 2 to cost equation of step 1 to solve for x using elimination

-14x - 14y= -11,200
10x + 14y= 9040
y term cancels out

-4x= -2160
divide both sides by -4

x= 540 ten dollar tickets


STEP 4:
substitute x value in step 3 into either original equation

x + y= 800
540 + y= 800
subtract 540 from both sides

y= 260 fourteen dollar tickets


ANSWER: There were 540 $10 tickets and 260 $14 tickets sold.

Hope this helps! :)
5 0
3 years ago
Solve In standard form y+1=2/3(×+4)
kondor19780726 [428]
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.

In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.

Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3

This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
8 0
3 years ago
What are the measures of an Anemometer
Sav [38]
WOW THIS IS EASY IT C
3 0
3 years ago
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