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
A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)
Answers
9514 1404 393
Answer:
y = -0.03x² +12
Step-by-step explanation:
For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...
y = 1 - x²
It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.
We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:
y = 1 -(x/20)²
We want the height to be 12, so we can scale it vertically by a factor of 12:
y = 12(1 -(x/20)²
y = 12 -12(x²/400)
y = -0.03x² +12
Determine the measure of angle A
Answers
Step-by-step explanation:
3x+18=4x+2
x= 16
measure of <A = 66°
What is the vertex of the parabola y=(x+3)+9?
(3,9)
O (-3,-9)
O (3,9)
Answers
help please i got the last part but not the others
Answers
Multiply: (x^2)(10x)(25)
Distrib. Prop: the same as line before
Multiply: (x^3)(5x^2)(10x^2)(50x)(25x)(125)
What is the product?
(3x-6) (2x^2-7x+1)
Answers
Answer: c
Step-by-step explanation:
Edge 2021
David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn?
Answers
Answer:
$51.75
Step-by-step explanation:
Answer:
$22
Step-by-step explanation:
4 * 5.50 = 22
HELP THIS BS IS DUE IN 20 MINS!!!!!!!
Answers
Answer: 5.5
Step-by-step explanation:
If each sandwich is $5.5 then the slope must be y=5.5x
If you are given x2 + 11x + 1, what does the expression equal if x=6
Answers
Answer:
79
Step-by-step explanation:
x2 + 11x + 1,
first step substituion
6(2) + 11(6)+ 1
multiply
12+66+1
add like terms
79
Answer:
103
Step-by-step explanation:
chords with inscribed angles
Answers
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°
so ive been ground for 3 months for a low grade in math what should I do to get un grounded
Answers
Answer:
score a high grade in another subject
Step-by-step explanation:
Answer:
AAA
Step-by-step explanation:
start filling out math and putting unnecary notes
Please answer this ASAP!!!
Answers
Answer:
a) (tri)ABC ~ (tri)CDE
b) AA
Step-by-step explanation:
a) Given in the question (the triangles are similar)
b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.
A line has a slope of 3/5. It passes through the points (1, 2) and ( k, 8). What is the value of k?
A. 7
B. 11
C. 8
D. 15
Answers
Answer:
B. 11
Step-by-step explanation:
Delta y over delta x
(8-2)/(k-1) = 3/5
6/(k-1) =3/5
6 = 3/5k - 3/5
6 3/5 = 3/5k
K = 11
Is the answer hoped this helped
one hundred and sixty-two thousandths as a decimal
Answers
Answer:
0.0162
Step-by-step explanation:
Cause it is
Answer:
0.162
Step-by-step explanation:
one hundred and sixty-two thousandths
162/1000 = 0.162
Please help I have 30 mins to slove
Answers
Answer:
82
Step-by-step explanation:
Since the sum of the two digits is 10, there are some pairs, such as 46, 64, 28, 82, 55,37, 73. And flip them around and see if the difference between the two numbers is 54. So one example is 82-28=54, so that is the answer. It can't be 28 or 46 because it said less than. I am not good at explaining, but I hope you guys understand. Thank you :D
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.
Answers
Answer:
29.3feet
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.
From the triangle given
<W = 90 degrees
<U = 19 degrees
<V = 180 - (90+19)
<V = 180 - 109
<V = 71 degrees
Using SOH CAH TOA
tan theta = opp/adj
tan <V = WU/VW
tan 71 = 85/VW
VW = 85/tan 71
VW = 85/2.9042
VW = 29.27
Hence the length of VW to the tenth of a foot is 29.3feet
29.3 is in fact the correct answer
GEOMETRY. Need help i will give brainliest
Answers
Answer:
x = 10
Step-by-step explanation:
If two tangent segments are drawn to a circle from an external point, then those segments are congruent.
x+11 = 2x+ 1
x = 10
Answer:
x=10
Step-by-step explanation:
x+11=2x+1
x+10=2x
10=2x-x
x=10
Brillianst!!!!!
-2/7 ÷ (-8/21) step by step answer
please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke
Answers
Answer:
1.3
Step-by-step explanation:
first, divide the parentheses:-8/21= -0.380952
second, dived -2/7= -0.285714
now divide both of them -0.380952 ÷ -0.285714 = 1.3
Which graph represents the solution set of this inequality? 11q +5 ≤ 49
Answers
Answer:
We need to isolate q on one side. 11q+5 <_ 49 Start subtracting 5 from both sides. 11q+5-5 <_ 49 -5 11q < 44 The answer will be B. q < 4.
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
khan
please view math question and help!!
Answers
What is the area of this parallelogram?
4.9 cm²
12.25 cm²
17.15 cm²
24.01 cm²
PLS HELP!! I WILL GIVE BRAINLYIST
Answers
Answer:
The answer is 17.15! Brainliest pls :D
Answer:
C, 17.15
Step-by-step explanation:
4.9*3.5 = 17.15
Which expression below is equivalent to 9 - 3(2 - 5x)?
A 3-15x
B 12-30x
C 3+ 15x
D 3+5x
Answers
Answer:
Step-by-step explanation:
9-3(2-5x)
9-6+15x
3+15x
Answer:
C
Step-by-step explanation:
9-3(2-5x)
9-6+15x=
3+15x
What is the value of x in the figure shown below?
2.8
2.8
A
96°
53°
2.8
5.4
5.4
D
B
Answers
Answer:
Step-by-step explanation:
∠EAD = ∠CAB = 53°
By Side-angle-side, △EAD is congruent to △CAB
∠E = 96°
∠D = 180-96-53 = 31°
x = 31°
How much did movies A and D combined make that week?
Answers
The cone and cylinder below have equal surface area
Answers
Answer:
Option B, False
Step-by-step explanation:
Step 1: Get the surface area formulas for both shapes
Surface Area Formula for Cone: [tex]A = \pi * r(r + \sqrt{h^{2} + r^{2}})[/tex]
Surface Area Formula for Cylinder: [tex]A = 2\pi rh+2\pi r^{2}[/tex]
Step 2: Plug in the values and solve
Cone: [tex]A = \pi * r(r + \sqrt{(3r)^{2} + r^{2}})[/tex]
Cone: [tex]A = \pi r^{2} + \pi \sqrt{10}r^{2}[/tex]
Cylinder: [tex]A = 2\pi r*r+2\pi r^{2}[/tex]
Cylinder: [tex]A=4 \pi r^{2}[/tex]
Step 3: Compare
[tex]\pi r^{2} + \pi \sqrt{10}r^{2}\neq 4 \pi r^{2}[/tex]
They are not equal, therefore the answer is False.
Answer: Option B, False
Answer:
ok so i just took this on a p 3 x and its true i have a screenshot . i got the question wrong it's definitely true .
Step-by-step explanation:
Solve for all values of x by factoring. x2 – 11x + 5 = -6x + 5
Answers
Answer:
x = 0,5
Step-by-step explanation:
Factor and set each factor equal to 0.
mhanifa or someone else can you PLZ answer this
Answers
Answer:
[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Step-by-step explanation:
[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Answer:
Simplified:
[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex] =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex] =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex] =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]This can be further simplified if required
[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]A student runs 7 km in 2 hours to train for sports. What is the student’s average speed?
Answers
Answer:
Step-by-step explanation:
For every hour said student would've ran 3.5 km/hr
7/2=3.5 kilometers per hour or 3 1/2 kilometers per hourhelp please and thank you
!!
Answers
Answer:
f(x) = 2ˣ + 1
Step-by-step explanation:
Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.
The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.
For (3, 9):
f(x) = 3ˣ = 3³ = 27
f(x) = 2ˣ + 1 = 2³ + 1 = 8 + 1 = 9
The last equation is the equation that is represented by the table.
Please help! I don't understand. view photo.
Answers
Answer:
Step-by-step explanation:
they are asking about the exponential
b/c it has a 3 in the exponent, it's a cubic and because it has two terms you can call it a binomial
PLEASE HELP!!!
Find the areas of the trapezoids.
Answers
Answer:
1) A = 48 sq units 2) 42 sq units
Step-by-step explanation:
The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.
So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.
For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.
This is how you find the areas of the trapezoids!