Graph the function f(x)=x^2+4x- 12 on the coordinate plane. (do a, b and c)(explain or show how you know the answer.) (graph down below.)
a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answers
9514 1404 393
Answer:
a) {-6, 2}
b) -12
c) minimum: -16
Step-by-step explanation:
I find a graphing calculator to be a big help. Its graph is attached.
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a) The function can be factored as ...
f(x) = (x -2)(x +6)
The factors are zero at the x-intercepts: x = 2, x = -6.
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b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.
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c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...
f(-2) = (-2-2)(-2+6) = -4(4) = -16
The minimum is f(-2) = -16.
Answer:
I took the test.
A (6, -2)
b (-12)
c Minimum -16
Step-by-step explanation:
Related Questions
(4n+1)(2n+6) multiply polynomials
Answers
Answer:
= 8n^2 +26n +6
Step-by-step explanation:
(4n+1)(2n+6)
= 8n^2 + 24n +2n +6
= 8n^2 +26n +6
The product of the polynomials (4n+1)(2n+6) is 8n² + 26n + 6.
To multiply the polynomials (4n+1)(2n+6), you can use the distributive property.
(4n+1)(2n+6) = 4n x 2n + 4n x 6 + 1 x 2n + 1 x 6
Applying the distributive property and simplifying each term:
= 8n² + 24n + 2n + 6
Combining like terms:
= 8n² + 26n + 6
Therefore, the product of the polynomials (4n+1)(2n+6) is 8n² + 26n + 6.
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24 divided my 6 + 4 to the power of 2
Answers
Answer:
.24
Step-by-step explanation:
On a map, 1 inch equals 5 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?
Answers
Answer:
30
Step-by-step explanation:
(5*6)/1
I have no clue how to solve. Need help ASAP
Answers
Answer:269
Step-by-step explanation:
8x18=144
6x10=60
9x5=45
5x4/2=10
5x4/2=10
144+60+45+10+10=269
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the
drawing.
Train Car
10.8 cm
What is the actual length of the train car?
A.21.6 ft
B.27 ft
C.43.2 ft
D54 ft
Answers
Answer: c
Step-by-step explanation:
The required actual length of the train is given as 27 ft.
Given that,
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the drawing.
The scale factor is defined as the ratio of the modified change in length to the original length.
here,
As given,
2 cm = 5 ft
1 cm = 5/2 ft
Tain car length = 10.8 m
Actual length = 10.8 × 5/2 = 27 ft
Thus, the required actual length of the train is given as 27 ft.
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Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?
Answers
Answer:
Water level and temperature
Step-by-step explanation:
Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.
3x-6y=30 solve for x
Answers
Answer:
Step-by-step explanation:
x = 10+2y
Answer:
answer: x = 10 + 2y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
I have 5 mins to get this done.
Answers
2.)B.40
3.)A.92
Hope this helps
Have a great day/night
Feel free to ask any questions
Find the surface area.
5 cm
14 cm
9 cm
3 cm
Answers
Answer:C. 2/3 cm/s
Step-by-step explanation:
Express the ratio in lowest form:
1.5 kg: 350 g
Answers
Given:
The ratio is:
1.5 kg : 350 g
To find:
The lowest or simplest form of the given ratio.
Solution:
We know that,
1 kg = 1000 g
We have,
1.5 kg : 350 g
It can be written as
[tex]1.5\ kg : 350\ g=\dfrac{1.5\ kg}{350\ g}[/tex]
[tex]1.5\ kg : 350\ g=\dfrac{1.5\times 1000\ g}{350\ g}[/tex]
[tex]1.5\ kg : 350\ g=\dfrac{1500\ g}{350\ g}[/tex]
[tex]1.5\ kg : 350\ g=\dfrac{150}{35}[/tex]
[tex]1.5\ kg : 350\ g=\dfrac{30}{7}[/tex]
Therefore, the lowest form of the given ratio is 30:7.
Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.
Answers
Answer:
2 [tex]\frac{1}{20}[/tex]
Step-by-step explanation:
for question a)
It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)
to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.
E.g.
7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29
Thus, improper fraction would be [tex]\frac{29}{4}[/tex]
do same thing for other one
thus , [tex]\frac{26}{5}[/tex]
now,
[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]
however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)
[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]
convert back to mixed number
2 [tex]\frac{1}{20}[/tex]
Answer:
Step-by-step explanation:
a) Step1 : write in improper form
Step 2 : Find least common denominator
Step 3: Find equivalent fractions and then subtract
[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]
[tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]
b) Keep Change Flip method
[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]
[tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]
PLEASE HELP ASAP I HAVE 10 MINUTES
Answers
Answer:
4, -3
Step-by-step explanation:
I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.
HELP!! 37 points ! and brainliest !!
What is the volume of the right rectangular prism?
A. 75m3
B. 125m3
C.200m3
D. 250m3
Answers
Answer:
250
Step-by-step explanation:
B times height = volume add the Base and the width at the bottom (10 times 5 =50) 50 is the B and then multiply by the height (5) so 50 times 5 is 250. Ez
Write the word sentence as an inequality.
The sum of a number n and
n
is no less
less than
than 55
An inequality is
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what number is halfway between 5.3 and 5.4
Answers
Answer:
5.35
Step-by-step explanation:
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Select the correct answer.
Factor the expression.
(49x^2 - 16) | (Choices in the picture.)
Answers
Answer:
B.
Step-by-step explanaBtion:
The answer would be B
(7x+4)(7x-4)
you can tell because when you expand it e.g.
49x^2 +28x - 28x -16
simplify
49x^2 - 16
equals the expression
Answer:
The answer would be B: (7x+4)(7x-4)
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0 #4 - 6 = 46 + 6 = ()
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Step-by-step explanation:
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Answers
Answer:
Check pdf
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
40,404x40=1,616,160
57,616x40=2,304,640
2,304,640-1,616,160=688,480
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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.......
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer:
Step-by-step explanation:
im clueless
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Step-by-step explanation:
0 is just a place holder
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Step-by-step explanation:
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What happens when a triangle is dilated using one of the vertices as the center of the dilation? Complete
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The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be ?
The vertex used as the center of dilation will be in
Answers
Answer:
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
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The vertex used as the center of dilation will be in “the same location in both triangles”
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Answers
I need help with this question
Answers
Answer:
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Step-by-step explanation:
You have to add the exponents when they are being multiplied without parenthesis which means 3+5=8 so it's 9 to the 8th power.