if f(x)=x^2+4x-12. find f(2)
Answers
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
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Related Questions
When surveyed 5 out of 32 students said they ride their bikes to school. Predict how many students in a school of 800 ride their bikes to school.
And please show your work!
Answers
Answer:
probably about 60 students ride their bikes to school.
Step-by-step explanation:
divide it and estimate. dont hate me if im wrong.
A theater has group prices for tickets. The first ticket will cost $10 while each additional ticket costs $8. Which rule models the situation?
a. an= 10 + 8 (n - 1)
b. an-1= 10 + 8 (n - 1)
c. an= 18 (n - 1)
d. an-1= 18 (n - 1)
Answers
Answer: Choice A.
an = 10 + 8(n - 1)
=================================================
Explanation:
a1 = 10 is the first term
The common difference is d = 8 since we add 8 to each previous price to get the next price.
We have the arithmetic sequence with nth term of
an = a1 + d*(n-1)
an = 10 + 8(n - 1)
If you wanted, you could simplify that to get
an = 10 + 8n - 8
an = 8n + 2
I need help, can somebody plz help
Answers
Answer:
c
Step-by-step explanation:
Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their first quarter tests. Write their results as unit rates. Jasmine can read 120 words per minute. 2. It takes Scott one minute to read 130 words.
Answers
Answer:
a) 120 words per minute
b) 130 words per minute
Step-by-step explanation:
A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.
a) Jasmine can read 120 words per minute
Jasmine reading unit rate = total number of words read / time taken
Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute
b) It takes Scott one minute to read 130 words
Scott reading unit rate = total number of words read / time taken
Scott reading unit rate = 130 words / 1 minute = 130 words per minute
Use the given information to prove that triangle ABC is similar to DEC
Answers
Answer:
sdfghj
Step-by-step explanation:
can someone help me please !!!!!!
Answers
Answer: From top to bottom of the chart: -13, -6, 1, 8, 15
Step-by-step explanation:
You can solve the equation by putting the numbers in the graph (under the letter x) into the equation. Meaning when it says "-2", you can write 7(-2)+1, or 7 times negative 2 minus one, which equals -13. Do the same thing with the rest :]
Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the depth, in feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the volcano?
please help!!
Answers
Answer:
28,000 Ft
Step-by-step explanation:
Answer: 16 is -15700 and 17 28,000
Step-by-step explanation:
_____ compare one quantity to 100.
A. Factors
B. Variables
C. Percents
D. Interest rates
Answers
Answer:
c
Step-by-step explanation:
Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees
Answers
Answer:
(-3,-4)
Step-by-step explanation:
Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes
(-x,-y)
Which is the graph of the linear inequality x – 2y > –6?
Answers
Answer:
uhhh d????
Step-by-step explanation:
Graph D represents the linear inequality x – 2y > –6.
The given inequality is x – 2y > –6.
We rearrange the inequality as y < (1/2)x + 3
Now we have the inequality in slope-intercept form, y < mx + b, where m is the slope (1/2) and b is the y-intercept (3).
To graph this inequality, you can start by plotting the y-intercept, which is the point (0, 3).
The slope of the graph is 1/2.
However, the inequality is y < (1/2)x + 3, which means the shaded region is below the line.
Hence, graph D represents the linear inequality x – 2y > –6.
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1) In 2000, there were approximately 109 million cell phone users in the United States. The number of cell
phone users grew to approximately 189 million after one year.
a) Write an exponential model that represents the number of cell phone users in the United States, where t
represents the number of years after 2000.
[2]
[1]
b) What is the percent rate of change?
[1]
c) What would be the number of cell phone users in 2015?
[3]
2) Which statement applies to the graph of f(x)=e* below.
Answers
Answer:
the answer is 298
Step-by-step explanation:
Consider this system of equations and the partial solution below.
6 x + 2 y = 6.
7 x + 3 y = 9.
Multiply the first equation by –3.
Multiply the second equation by 2.
Add the resulting system of equations.
Which terms will cancel when you add the resulting system of equations?
Answers
The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.
Answer:
A
Step-by-step explanation:
LINEAR EQUATIONS!
7(6-y)=-3(y-2)
Answers
Answer:
y=9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variables
move variable to left side and change its sign
42-7y+3y=6 collect like terms
-7y +3y=6-42
-4y=6-42
-4y=-36 divide both sides of the equation by -4
y=9
hope that helps :)
(x - 4)(2x - 1)(3x - 2) = 0
What is the product of all values of x that satisfy the equation above?
Answers
Answer:
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
2
x
−
1
=
0
3
x
+
2
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
1
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
2
3
The final solution is all the values that make
(
2
x
−
1
)
(
3
x
+
2
)
=
0
true.
x
=
1
2
,
−
2
3
The result can be shown in multiple forms.
Exact Form:
x
=
1
2
,
−
2
3
Decimal Form:
x
=
0.5
,
−
0.
¯
6
The product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
What is algebraic expression?An algebraic expression is a combination of terms, both constants and variables. For example, we can write the algebraic expressions as -
2x + 3y + z
4x + 5
Given is the algebraic expression as -
(x - 4)(2x - 1)(3x - 2)
The given expression is -
(x - 4)(2x - 1)(3x - 2) = 0
We can write -
(x - 4) = 0 or (2x - 1) = 0 or (3x - 2) = 0
x = 4 or x = 1/2 or x = 2/3
The product of all values of {x} that satisfy the equation above is -
4 x 1/2 x 2/3
4/3
Therefore, the product of all values of {x} that satisfy the equation →
(x - 4)(2x - 1)(3x - 2) is 4/3.
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1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?
Answers
Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.
Answers
Answer:
24,12
Step-by-step explanation:
suppose,
x+y=36
x=2y
2y+y=36
y=12
x=24
Find DE
13x-37
2x+13
Answers
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = [tex]\frac{1}{2}\text{AB}[/tex]
(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
A plane can travel 5000 kilometers
in 6 hours. How far can it travel in
1.5 hours?
Answers
Answer:
1250 Kilometers.
Step-by-step explanation:
Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.
Answer:
[tex]1250km[/tex]
Step-by-step explanation:
To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.
It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:
[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)
[tex]= 833\frac{1}{3}km/hour[/tex]
To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:
Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]
[tex]=1250km[/tex]
Hope this helps :)
How many buses do you need for 650 people if each bus holds 100 people?
Answers
Answer:
we would need 7
Step-by-step explanation:
because if each bus hold 100 and there is 650 we would need 7 buses
because we well have 6 fill bus and 1 half full bus
Answer:
7
Step-by-step explanation:
100/7 u would only ned the 7 and not the 100
Brainliest if correct please help
Answers
Answer:
it is F
Step-by-step explanation:
carrots and beans combined is 11 and corn is 11
3x + 2 = 11 what is x?
Answers
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
Answer:
x=3
Step-by-step explanation:
3x+2=11
3x=11-2
3x=9
x=9/3
x=3
help me answer this please!!! i will mark you brainliest
Answers
Answer:
363 ft.
Step-by-step explanation:
To calculate the base side which is b we use the trigonometric identity called cosine.
[tex]cos \theta=\frac{base}{hypotenuse} \\\\cos25 = \frac{b}{400}\\\\b=400*cos 25\\b=400*0.906\\b=362.5\ ft[/tex]
Since we the answer to the nearest whole number it would be b = 363 ft.
Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, "I have only eaten 3/8 of the pizza. How many slices where in the pizza when it was whole
Answers
Answer:
16 pieces of pizza when the pizza was whole.
Step-by-step explanation:
You know that 6 pieces are equal to 3/8 of the pizza.
Let x represent the total number of pieces and write an equation:
3
-- times x = 6
8
Multiply each side of the equation by 8:
8 times 3
-- x = 8 times 6
8
3x = 48
Divide each side of the equation by 3:
3x 48
--- = ---
3 3
x = 16
question is in picture
Answers
Answer:
-6
Step-by-step explanation:
Answer:
-4 + -2 = -6
Step-by-step explanation:
So this is a rhyme that helps me remember how to add and subtract positive and negative numbers...
(To the tune of Row Row Row Your Boat)
Same sign add and keep
Different sign subtract
Keep the sign of the bigger number
Then you'll be exact
I know it sounds silly but it helped me :)
please help
Greater than
Less than
or Equal to
Answers
2. A recipe includes 8 cups of flour and
į cup of sugar. Write the ratio of the
amount of flour to the amount of
sugar as a fraction in simplest form.
Answers
Answer:
0.25:2
Step-by-step explanation:
What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1
Answers
Answer:
32 - 1
Step-by-step explanation:
I do not know what to do!! Please help me with this assignment!
Answers
Answer:
Equation of the line is y = x + 1
Standard Form: x - y = 1
Step-by-step explanation:
Ax + By = C
y = x + 1
-x + y = 1 ("A" must be positive)
x - y = -1
In 25 minutes Jezebel can run 10 laps around the track. Part I) Determine the unit rate for the number of laps she can run per minute. Part II) Find the constant of proportionality for this situation.
Answers
Answer: See explanation
Step-by-step explanation:
a. Determine the unit rate for the number of laps she can run per minute.
This will be calculated as the number of minutes used divided by the number of laps which will be:
= 25 / 10
= 2.5 minutes per lap.
b. Find the constant of proportionality for this situation.
We will use the formula y = kx
where y = 25, x = 10, k = constant of proportionality.
Therefore, y = kx
25 = 10k
k = 25/10
k = 2.5
The constant of proportionality is 2.5
Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last month, how many tablespoons did she use this month?
Answers
Answer:
180 tablespoons
Step-by-step explanation:
240×.25=60
240-60=180
Answer:
180
Step-by-step explanation:
