what is the equation of the quadratic function that has x intercepts of -2 and 9?
Answer:
f(x) = (x - 9)(x + 2) = x^2 - 7x - 18
Step-by-step explanation:
If the x-intercepts are -2 and 9, then the factors of this quadratic are (x + 2) and (x - 9). Multiplying these two factors together, we get:
f(x) = (x - 9)(x + 2) = x^2 - 9x + 2x -18, or
f(x) = (x - 9)(x + 2) = x^2 - 7x - 18
100 POINTS
Choose ONE of the following questions to answer in the box below:
1) Why is point (100, 2) on the graph?
2) What is the x-intercept of the graph? Explain how you know.
3) When will the graph meet the line y = 5 ? Explain how you know.
Answer:
See below
Step-by-step explanation:
Given function:
y = log₁₀ (x)Questions1) Why is point (100, 2) on the graph?
Because:
log₁₀ (100) = log₁₀ (10²) = 2 log₁₀ (10) = 22) What is the x-intercept of the graph? Explain how you know.
The x-intercept is the value of x when y = 0:
log₁₀ (x) = 0x = 10⁰x = 1The x-intercept is (1, 0)
3) When will the graph meet the line y = 5 ? Explain how you know.
log₁₀ (x) = 5x = 10⁵x = 100000When x = 100000
Step-by-Step-by-step explanation:
Unit 6 Lesson 2 Cumulative Practice Problems: Problem 2 HELP
I have been stuck on this question for a while(NO SPAMMING IT IS ANNOYING)The formula used to find the area of a circle is πr² (π=pi). What is the area of a circle with a diameter of 16cm? Use pi = 3.14
Answer:
200.96
or
201 (if you round it up)
Step-by-step explanation:
1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).
2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)
3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.
convert the number into a scientific notation
what is the answer too (17-6 divided by 2 )+ 4 multiplied by 3
Answer:
Step-by-step explanation:
The answer is 26
CAN SOMEONE PLEASE HELP ME OUT??
Answer:
D. -1≤x<4
Step-by-step explanation:
4-x<0 and x+1≥0
x<4 and x≥-1
so D. -1≤x<4
Find the surface area of this prism 6.72,5.78,12.7
Answer:
493.29
Step-by-step explanation:
NO LINKS PLEASE- OR I SWEAR-
What is the median (Q2) of this data set?
(TYPE the NUMBER)
Answer:
70 or 75 70 is on there so that my best answer
Step-by-step explanation:
The Volume of this triangular pyramid is 11140 cubic meters what is the value of u? Please help!!!
Answer:
19
Step-by-step explanation:
10 x 19 = 190
190 divided by 2 = 95
95 x 12 = 1140
Please help me find x and y value?
Answer:
x = 24
y = 19
Step-by-step explanation:
From the picture attached,
m(∠CAB) = (5y - 23)° [Vertically opposite angles]
By applying triangle sum theorem in ΔABC,
(5y - 23)° + (2x + 13)° + 47° = 180°
2x + 5y = 143 -----(1)
(3x)° = (5y - 23)° [Corresponding angles]
3x - 5y = -23 -----(2)
By adding equation (1) and (2)
(2x + 5y) + (3x - 5y) = 143 - 23
5x = 120
x = 24
From equation (2)
3(24) - 5y = -23
72 - 5y = -23
5y = 95
y = 19
Quick question: is this correct?
Answer:
aha
you know what I mean
mean I guess your correct
Answer:
yes
Step-by-step explanation:
Given the expression below, what are the missing values, respectively?
x2 + 9x + 20 = (x + O) (x + O)
F. 4, 5
G. 2, 10
H. -4,1-5
J. 3, 3
Answer:
F.
Step-by-step explanation:
20=4*5
9=4+5
Simplify.
5V18-2V50
V50
Answer:
-500
Step-by-step explanation:
An engine is operating at 25% of its full power. Which number line shows a point that
represents 25%?
Answer:
The first line
Step-by-step explanation:
PLS HELP MEEEEEEEEEEEEEEEEE
Answer:;Phone
Step-by-step explanation:Pquit
Can someone help please
Answer:
i think it is 80
Step-by-step explanation:
The area of a square piece of glass is 36 square centimeters. How long is each side?
Answer:
6 centimetres
Step-by-step explanation:
Square root 36 = 6
Answer:
6
Step-by-step explanation:
A = x^2
x = √A
x = √36
√36 = 6
SIMPLEE!!! WRITE AN EXPRESSION!
The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)?
Answer:
2(x-10)/(x+10)(x-4)
Step-by-step explanation:
Find the complete question attached as a diagram
Given the following
F(x) = x-16/x²+6x-40
Factoring the denominator
F(x) = x-16/x²-4x+10x-40.
F(x) = x-16/x(x-4)+10(x-4)
F(x) = x-16/(x+10)(x-4)
g(x) = 1/x+10
Adding both functions
F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.
F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)
F(x)+g(x) = x-16+x-4/(x+10)(x-4)
F(x)+g(x) = x+x-16-4/(x+10)(x-4)
F(x)+g(x) = 2x-20/(x+10)(x-4)
F(x)+g(x) = 2(x-10)/(x+10)(x-4)
Help me with this please
Answer:
1) <2 ; 60
2) <3 ; 60
3) <4 and <3. <4 = 120 and <3 = 60
4) <1, <3, and <4 = 125. <2 = 55
Step-by-step explanation:
1)
Corresponding angles are equal
2)
Alternate interior angles are equal
3)
<4 and <3 are same-side interior angles. This makes them supplementary angles
<4 = 120
<3 = 60
4)
<1 = <4 = <3. All of these angles equal 125.
<2 + <1 = 180
<2 + 125 = 180
<2 = 55
1. is XY tangent to circle Z?
Answer:
Line segment U V is a secant Line segment X Y is a tangent and intersects the circle at point U
Step-by-step explanation:
The required, XY is tangent to Circle Z, as of the given condition.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
Here,
From the diagram, we can use the Pythagorean theorem to justify whether XY is tangent to the circle Z, because if XY is the tangent then XYW is the right triangle.
So,
XY² = XW² + WY²
Substitute the value in the above expression,
16² = [2×6.4]² + 9.6²
256 = 256
Thus, XY is tangent to Circle Z.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 meters cubed. What is the volume of the sphere?
10 meters cubed
20 meters cubed
30 meters cubed
40 meters cubed
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
The answer should be A because when I put them on a graph they were in the shape of a square/rectangle
A laptop case is 24 inches long and 18 wide. Find the diagonal length of case in feet. Round your answer to the nearest tenth.
Answer:
2.5 feet
Step-by-step explanation:
According to the problem, computation of given data are as follows,
Length = 24 inches = 2 feet ( 1 feet = 12 inches)
Width = 18 inches = 1.5 feet ( 1 feet = 12 inches)
So, we can calculate the diagonal length by using Pythagorean Theorem.
[tex]L^{2} + W^{2} = D^{2}[/tex]
Where, L is length, W is width, and D is diagonal length
So, by putting the value, we get
[tex]2^{2} + 1.5^{2} = D^{2}[/tex]
[tex]D^{2} = 4 + 2.25[/tex]
[tex]D = \sqrt{6.25}[/tex]
D = 2.5 feet
Hence, diagonal length is 2.5 feet.
PLS HELP WILL MARK BRAINLIEST
Answer:
I believe it is D.
Step-by-step explanation:
This shows all the combinations of the dice roll as could go along with any of the coin toss solutions.
I hope I didn't confuse you lol! Hope this helps :)
What is the value of x?
Answer:
45
Step-by-step explanation:
There is no question provided.
The function has a removable point of discontinuity when x =
The function has infinite discontinuity when x = |
The function has jump discontinuity when x =
Answer:
-3, 3, 9
Step-by-step explanation:
Answer on Edge
this is going to be my 13th reason please help me
Answer:
The radius of these cylinders is approximately 1 foot.
Step-by-step explanation:
According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:
[tex]V \propto h[/tex]
[tex]V = k\cdot h[/tex] (1)
Where:
[tex]V[/tex] - Volume of the cylinder, in cubic feet.
[tex]h[/tex] - Height of the cylinder, in feet.
[tex]k[/tex] - Proportionality constant, in square feet.
Besides, the proportionality constant is described by this expression:
[tex]k = \pi \cdot R^{2}[/tex] (2)
Where [tex]R[/tex] is the radius of the cylinder, in feet.
If we know that [tex]h = 9\,ft[/tex] and [tex]V = 28.26\,ft^{2}[/tex], then the radius of the cylinder is:
[tex]k = \frac{V}{h}[/tex]
[tex]k = 3.14[/tex]
[tex]R = \sqrt{\frac{k}{\pi} }[/tex]
[tex]R \approx 1\,ft[/tex]
The radius of these cylinders is approximately 1 foot.
100 POINTS 100 POINTS 100 POINTS!!!
Don't just put random answer put real ones.
Wrong or Right?
For right just put right
For wrong just put wrong and the correct answer.
First correct answer gets brainliest!
Answer:
B and C
Step-by-step explanation:
Answer:
#1 is right
#2 is right
#3 is wrong
# 3 is b or c
Step-by-step explanation:
surry if im wrong