Answer:
C
Step-by-step explanation:
I used the formula. it took a long but i got it! Brainly pls!
.Write the vertex and indicate if the graph opens up or down. y = 2x2 + 8x + 3
A. (2,5) down
B. (-2,5) up
C. (-2,-5) down
D. (-2,-5) up
Given:
The equation of the parabola is
[tex]y=2x^2+8x+3[/tex]
To find:
The vertex and check whether it opens up or down.
Solution:
We have,
[tex]y=2x^2+8x+3[/tex]
Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.
The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is
[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
Here, a=2, b=8 and c=3.
[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]
[tex]\dfrac{-b}{2a}=-2[/tex]
Putting x=-2 in the given equation.
[tex]y=2(-2)^2+8(-2)+3[/tex]
[tex]y=2(4)+(-16)+3[/tex]
[tex]y=8-16+3[/tex]
[tex]y=-5[/tex]
So, the vertex of the parabola is at (-2,-5) and parabola opens up.
Therefore, the correct option is D.
A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin of error for this poll if we want 95% confidence in our estimate of the percentage of new home buyers who hired movers.
Answer:
The margin of error M.O.E = 2.5%
Step-by-step explanation:
Given that;
The sample size = 1500
The sample proportion [tex]\hat p[/tex] = 0.60
Confidencce interval = 0.95
The level of significance ∝ = 1 - C.I
= 1 - 0.95
= 0.05
The critical value:
[tex]Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96[/tex] (From the z tables)
The margin of error is calculated by using the formula:
[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}[/tex]
[tex]M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}[/tex]
[tex]M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}[/tex]
[tex]M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}[/tex]
M.O.E = 0.02479
M.O.E ≅ 0.025
The margin of error M.O.E = 2.5%
Solve the equation and determine the value of t. t + 38 = 420
Answer:
t=382
Step-by-step explanation:
Answer:
382
Step-by-step explanation:
1. t=420-38
2. t=382
which statement is true about the solution of this system of equations?
{x+3y=-4
3x+9y=-12
Answer:
ssdafdsdsaasd
Step-by-step explanation:
adsdasdasdsadadasds
Answer:
x=-4-3y
Step-by-step explanation:
2. Solve: 7(5x-2) = 6(6x - 1).
Answer:
-8
Step-by-step explanation:
35x-14=36x-6
35x-36x=-6+14
-x=8
x=-8
due in an 1hr help!!
Answer:
I think its D
Step-by-step explanation:
Mark me Brainliest
rearrange w=5(3a-b) + 2 to make a the subject
Answer:
w=15a-5b+2
w+5b-2=15a
(w+5b-2)/15=a
Step-by-step explanation:
The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given an expression w = 5(3a - b) + 2.
Now to make 'a' the subject is the same as finding the value of a.
w = 5(3a - b) + 2.
w = 15a - 5b + 2.
w + 5b - 2 = 15a.
a = (1 + 5b - 2)/15.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Create a problem for the equation 4n + 7 = 55. Show how you know it is correct.
Answer:
Matt needs to read 55 books for the school book fair. He has already read 7 and reads books at a rate of 4 books per day. How many more books will he need to read?
(can I get brainliest pls)
Find the distance between the points (8,-3) and (2, -3).
Because the Y values are the same ( -3) the distance is the difference between the x values:
Distance = 8-2 = 6
The answer is 6
Imagine Kiri Commented On this question (⊙_⊙)?
Answer:
That would just be magical- like let's imagine how it would turn out. :>
Step-by-step explanation:
IGIVEEEEEEEEEEEEEEEEEEEEE BRSAINLILSTER
Answer:
G
Step-by-step explanation:
cable has 2 1/5 yard of rope. he uses 3/4 of the rope to make a dog leash. which expression can be used to represent 3/4 of 21/5
Answer:
B
Step-by-step explanation:
Thank me later
Which point is in the solution set of the given system of inequalities?
Answer:
(1/5, 9/5)
Step-by-step explanation:
Given the set of inequities
x+y>2..... 1
4x-y≥-1 .... 2
We are to get the solution point (x,y)
Solving simultaneously
From 1:
x>2-y
Substitute into 2
4(2-y)-y≥-1
4(2)-4y-y≥-1
8-5y≥-1
-5u ≥-1-8
-5y ≥-9
y≤9/5
Since x>2-y
x>2 - 9/5
x>1/5
Hence the required point is (x,y) = (1/5, 9/5)
Answer:
C. (0,3)
Step-by-step explanation:
hope this helps :)
Five numbers have an average of 6.
Four of the numbers are 0, 1, 3, and 7.
What's the fifth number?
Answer:
1+3+0+7+x/6=6....
11+x=36...
X=36-11=25
g If the quantity of helium in a weather balloon in increased by a factor of 5 at constant temperature and pressure, by how much does the volume of the balloon change? Decrease by 2 times Increase by 5 times Decrease by 5 times Increase by 2 times
Answer:
Increase by 5 times
Step-by-step explanation:
Given that from the ideal gas law;
PV = nRT
P= pressure
V= volume
n= number of moles
R= gas constant
T = temperature
It the follows that;
V= nRT/P
When the number of moles (quantity of helium) is increased by a factor of 5 while temperature and pressure remain constant, we can write;
PV = 5nRT
V = 5nRT/P
Hence the volume increases by a factor of 5.
Will give brainliest!
A machine fills container at a constant rate of 5/8 of a box every 1/2 minute. What is the number of container per minute?
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Step-by-step explanation:
The triangles are congruent due to Hypotenuse-Leg congruence. (HL congruence)
Each of the triangles have a right-angle, a congruent hypotenuse and a congruent side of the triangle.
Therefore Triangles ABC and PRQ are congruent.
Answer:
YesStep-by-step explanation:
Given
Right triangles with congruent hypotenuse and one leg.This is sufficient for HL (Hypotenuse, Leg) congruence theorem
Help please!!!!!!!!!
Answer:
multiplied by 10 goes in the blank line.
Step-by-step explanation:
Choose the number of hours as 1.
The number on the y axis that is the number of miles is 10
So any time you have will be multiplied by 10 to get the total number of miles.
Houston’s annual salary is $89,616. He falls in the 35% tax bracket. What is his net annual salary?
Answer:
$31365.60
Step-by-step explanation:
Divide.
11.02 ÷ 3.8
Enter your answer, as a decimal, in the box.
Answer:
2.9
Step-by-step explanation:
11.02÷3.8= 2.9
Answer:
2.9
if im right mark as brainlest thank you!
9. A ranch has 575 cows on 25 acres of land. Which rate best represents the relationship
between the number of cows and the number of acres?
Answer:
10/10
Step-by-step explanation:
Dividing the sum of 3 7/8 and 2 11/16 by 5/8 yields which value?
A. 15/32
B. 1 1/5
C. 4 1/4
D. 10 1/2
What is the equation of the graphed line written in standard form? x – 4y = 4 x + 4y = 4 y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1 y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x – 1
Answer:
The answer is A
Step-by-step explanation:
I got it right
Answer:
Answer is A
Step-by-step explanation:
Apply the algebra tiles to find (8x2 + 8x + 5) - (2x2 + 6x + 4).
A)
6x2 + 2x - 1
B)
6x2 + 2x + 1
6x? + 14x + 1
D)
10x2 + 2x + 1
A. mg- fp sin theta
B. mg-fp cos theta
c. Mg + fp sin theta
d. mg
Answer is d mg ...........
HOPE IT HELP....
In the isosceles trapezoid below,
x = = [? ]°
Answer:
Step-by-step explanation:
yes
if you solve the equation,
5x+15=7x-11
26=2x
x=26/2=13
answer will be giving brainliest
Answer:
Daniele sister
Step-by-step explanation:
she right because 1 9/18 is even n have factors to it 9/8 is 1 1/9- den u can get 1 1/2 cause u simplified
im prob wrong-
Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
Answer:
1
Step-by-step explanation:
the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry , the dot product of the Cartesian coordinates of two vectors is widely used.
Answer:
C
Step-by-step explanation:
Edge 2021
please answer asap no trolls!!
Answer:
1. b = 47
2. c = 18
Step-by-step explanation:
From the question given above, we can see that the two shapes are right angle triangle.
Thus, if ΔUVW ≅ ΔFED, then
1. VW = ED
2. UW = FD
3. UV = EF
1. Determination of the value of b.
UW = 47
FD = b
UW = FD
47 = b
Therefore,
b = 47
2. Determination of the value of c.
VW = c
ED = 18
VW = ED
c = 18