NEED HELP ASAP, WILL GIVE BRAINLIEST
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x + 2x-15. If there is more than one x-intercept, separate them with commas,
Answers
Step-by-step explanation:
y = x^2 + 2x - 15
To find the x-intercepts, factor out the right side:
y = x^2 + 2x - 15
= (x + 5)(x - 3)
This means that the x-intercepts are at (-5, 0) and (3, 0).
Method 1:
The x-coordinate of the vertex of a parabola is given by the following:
x = -b/2a, where a = 1 and b = 2
= -(2/(2×1))
= -1
Using this value of x gives y = -16
Therefore, the coordinates of the vertex is (-1, -16).
Method 2:
We can find the x-coordinate of the vertex by taking the derivative of y and equating it to zero:
y' = 2x + 2 = 0 ---> x = -1
Using this value of x into our equation, we get y = -16.
Therefore,
vertex: (-1, -16)
Related Questions
A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.
Please I need help with this question
Answers
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]
= [tex]\frac{-79.6}{-19.6}[/tex]
= 4.1
The rocket will hit the ground at 0.2 seconds
FunctionThe function is given as:
[tex]h=-9.8t^2+38.2t+6.5[/tex]
When the missile hits the ground, the value of height is 0
This means that:
[tex]h = 0[/tex]
So, we have:
[tex]-9.8t^2+38.2t+6.5 = 0[/tex]
GraphNext, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
From the attached graph, we have:
[tex]t = (0.163, -4.061)[/tex]
Approximate
[tex]t = (0.2, -4.1)[/tex]
Time cannot be negative.
So, we have:
[tex]t = 0.2[/tex]
Hence, the rocket will hit the ground at 0.2 seconds
Read more about height functions at:
https://brainly.com/question/10837575
What is the value of y-x?
A. 20
B. 30
C. 45
Answers
A tepee with a dirt floor in the shape of a right cone has a slant height of 26 feet and a radius of 12.5 feet. Approximately how much canvas would be needed to cover the tepee?
Answers
Answer:
help me with this please
round 11.475 to the nearest percent plz
Answers
Answer:
11.5 I think??
Step-by-step explanation:
11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5
A capacitor has plates of area
1.64 x 10-3 m2. To create a
capacitance of 2.38 x 10-9 F, how
far apart should the plates be?
Answers
Answer:
6.1*10^-6
Step-by-step explanation:
Acellus
Are the following triangles similar? Explain.
Answers
Answer:
yes
the sides bear a similar proportion to each other
CE = 1.67BC
CD = 1.67AC
Step-by-step explanation:
Two triangles are similar if the corresponding angels are congruent to each other and if the sides of the triangle are in proportion to each other
to determine if the triangles are similar, determine if the sides are in proportion to each other
CE = 10
BC = 6
10 / 6 = 1.67
DC = 15
AC = 9
15/9 = 1.67
The sides of the triangle are in proportion to each other, thus they are similar
what is the value of x WILL GIVE BRAINLIEST ANSWER
Answers
Answer:
x = 116°
Step-by-step explanation:
number of degrees in a pentagon is (5-2)180° = 540°
x + 121 + 90 + 115 + 98 = 540
x + 424 = 540
x = 116°
Find the surface area of the ball shown. Use 3.14 for pie.
Radius is 17cm
The ball has a surface area of about ? Cm^2
Answers
Answer:
[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]
Step-by-step explanation:
we are given a ball
remember that,a ball is a Sphere
thus,
[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]
given that, redious is 17 cm
substitute:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]
simplify square:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]
substitute the approximate value of π:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]
simplify multiplication:
[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]
hence, the surface area of the sphere is 3629.84 cm²
What is the measure of
Answers
Answer: Measure of what?
Answer:
measurement of what-?
Jacqueline has $5.65 in nickels and quarters. If she has 45 coins in all, how many nickels does she have?
Answers
Answer:
28 Nickels
Step-by-step explanation:
Find the requested unknown side of the following triangle
Answers
5.75
Explanation:
Let the unknown side = X
Cos() = adj/hyp
Cos(44)= X/8
X= 5.75
The length of the side : 5.75
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the given figure, we get,
Explanation:
Let the unknown side = X
Cos() = adj/hyp
Cos(44)= X/8
X= 5.75
hence, The length of the side : 5.75.
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
what is the average rate of change of the population between 1930 and 1950? show your reasoning?
Answers
Answer:
The average rate of change is: 0.25
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change between 1930 and 1950
Average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
In this case,
[tex][a,b] = [1930,1950][/tex]
So, we have:
[tex]m = \frac{f(1950) - f(1930)}{1950 - 1930}[/tex]
[tex]m = \frac{f(1950) - f(1930)}{20}[/tex]
From the attached graph;
[tex]f(1950) = 45[/tex]
[tex]f(1930) = 40[/tex]
So, we have:
[tex]m = \frac{45- 40}{20}[/tex]
[tex]m = \frac{5}{20}[/tex]
[tex]m = 0.25[/tex]
Giving brainlist to whoever answers
Answers
Answer:
144m2
Step-by-step explanation:
I think very carefully on my brain is it cirrect?
“7a - 17 = 4a +1”
Step by step pls
Answers
Answer:
a = 6
Step-by-step explanation:
7a-17 = 4a +1 ; Subtract 4a from both sides
3a - 17 = 1 ; Add 17 to both sides
3a = 18 ; Divide both sides by 3
a = 6
7a-17=4a+1
7a-4a=1+17
3a=18
a=6
I’m giving brainliest to who answers correct!
Answers
Answer:
y = 1/2x + 2
Step-by-step explanation:
for x=10, y=7
for x=20, y=12
for x=30, y=17
y = 1/2x + 2
5x -6y=-32
3x+6y=48
solve using elimination, i have a bunch of these i need to get done
Answers
Please help the questions are in the picture above
Answers
Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)
Step-by-step explanation:
3x^3 - 3x^2 - 90x
Apply GCF: 3 (x^3 - x^2 - 30)
Split 30 into -6 and 5
(x^3 - 6x^2) (5x^2 - 30x)
GCF of both: x^2 (x - 6) and 5x (x - 6)
DON'T FORGET TO CARRY THE 3
And your answer is 3 (x - 6) (x^2 + 5x)
can we eliminate all fat people from the earth? they're useless individuals.
Answers
Answer:
No
Step-by-step explanation:
Dude, I'm not joking.
I started writing stuff as a joke, than developed it, and I think I'll write a book. You just gave me an incredible idea (not about fat people, about society itself and our future).
Thank you very much.
If you see any book written by a Racciatti in 10 years, contact me.
Hope this works, holy man so much ideas in my head. Thank you again.
13. Maddy received $100 for her birthday and decided to go shopping. She bought 2 shirts priced at
$ 12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax,
what is the total amount Maddy spent?
Answers
0=5x^(2)+8x-7
Any solutions?
Answers
Answer:
−
4
−
5
1
√
5
x=\frac{-4-\sqrt{51}}{5}
x=5−4−51
=
−
4
+
5
1
Answer:
C. no solutions
keyonna and rachel hand out pencils for the class. there are 10 pencils. they only need 3/5 out of the pencils. how many pencils do they need?
Answers
Answer:
About 6 pencils
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
in order to solve this, you need to multiply 3/5 and 10: [tex]\frac{3}{5}[/tex] × 10
to do this, first multiply 3 and 10: 3 x 10 = 30
now divide 30 by 5: 30 ÷ 5 = 6
what is 50/277 decimal to the nearest hundredth?
Answers
Answer:
50/277 is also the same as 50 ÷ 277, so just divide those two numbers.
50 ÷ 277 = 0.181
Now we find out 0.181 to the nearest hundredth
To the nearest hundredth when rounding the answer will be 0.18
So your answer is 0.18
Hope I helped! :)
1. Is it proportional?
2. If so, what is the constant of
proportionality? (unit rate)
3. Write an equation that
expresses the table in the
form
Y = KX
Answers
Answer:
Y=5(x) Yes it is porportional.
Step-by-step explanation:
So lets look at the graph.
We first have 1x = 5y
Well, that makes it seem like for each x there are 5 y.
Lets see the other values:
2x = 10y
Divide both sides by 2 tog et x alone:
1x=5y
Again, for each x, there are 5y.
This is true for each one:
3x=15y
=
1x=5y
4x=20y
=
1x=5y
5x=25y
=
1x=5y
and finally:
6x=30y
=
1x=5y.
So yes, this is poroportional.
It can be shown as x=5y, since for a single x, there are 5 y's.
Hope this helps!
This poem is an example of which of the following? *
penguin
black, white
waddling, swimming, leaping
A tuxedo in cold water
Emperor
A. Sonnet
B. Cinquain
C. Haiku
D. Limerick
Answers
Answer:
a
Step-by-step explanation:
A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?
Answers
Answer: [tex]10.2"[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]
If the Straw fits exactly into the box diagonally
So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.
[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]
Which of these organisms are sessile?
A.Birds.
B.Sloths.
C.Sponges.
D.Worms.
Answers
Answer:
I think C
Step-by-step explanation:
Answer:
Sponges
Step-by-step explanation:
sponges are permanantly attached to an area in the water, making them sessile
Jalen is trying to set a pole that is 10 ft long into the ground so that it is perpendicular with the horizontal surface. Jalen locates a point 6 feet from the base of the pole, at C, and labels it A then he measures the distance from point a to b what distance to the nearest tenth of a foot does haley need for the pole to be perpendicular
Answers
Answer:
The distance from point A to B that Haley needs for the pole to be perpendicular is:
11.66 feet.Step-by-step explanation:
To solve this exercise, imagine that it is a triangle, where the height is the pole, which is 10 feet, and the base of the triangle is the distance between the base of the pole and the point located by Jalen and called C, which it would have a measurement of 6 feet, finally, the measurement between A (the point located six feet) and B (the highest part of the pole) would correspond to the hypotenuse of a triangle,
Therefore, having these two measures, you could use the Pythagorean theorem to find the hypotenuse of a triangle with those measures and solve it, remember that the Pythagorean theorem is:
Hypotenuse^2 = opposite leg^2 + adjacent leg^2We replace the values given in the exercise:
Hypotenuse^2 = (10 ft)^2 + (6 ft)^2Hypotenuse^2 = 100 ft^2 + 36 ft^2[tex]\sqrt{hypotenuse^{2} }[/tex] = [tex]\sqrt{100 ft^{2} +36ft^{2} }[/tex]Hypotenuse = [tex]\sqrt{136ft^{2} }[/tex]Hypotenuse = 11.66 ft approximately.In this form, Jalen can be sure the pole is perpendicular to the ground when the distance from point A to B is 11.66 ft approximately.
Which of the following is true of the measures of central tendency when looking at outliers?
The median is unaffected by an outlier.
The mean is unaffected by an outlier.
The range is unaffected by an outlier.
The interquartile range is unaffected by an outlier.
Answers
Answer:
Step-by-step explanation:
An outlier does not affect measures of central tendency. ... An outlier is always the highest or lowest value in a data set.
it says SELECT ALL THAT APPLY.
so there will be more then one Answer
so D AND C
HOPES THIS HELPS
The mean is considered as one of the measures of central tendencies in statistics. Then the correct option is B.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics.
Then the correct option is B.
More about the statistics link is given below.
https://brainly.com/question/10951564
#SPJ2
Need help with this problem, any help I could get?
Answers
Answer:
D) 2x + y = 4
Step-by-step explanation:
2x + y = -6 and 2x + y = 4 will not have any solution because -6 ≠4
please help me with this!!!
Answers
2) 4/5 + 2/5 + 2/5 = 1 3/5
Answer-
4/5 + 4/5
4/5 + 1/5 + 3/5