Step-by-step explanation:
Identify the vertex of
y = 2x2 − 4x − 2
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!
Answer:
11x^2 - 16x +4
Step-by-step explanation:
In order to simplify, add like terms
(8x^2-7x+2)+(3x^2-9x-6)
8x^2 + 3x^2 = 11x^2
-7x + -9x = -16x
-6 + 2 = 4
now the equation is 11x^2 - 16x +4
What is the slope and the y-intercept of the line on the graph below?
b=
m=
Write an equation for this line in slope-
intercept form (y=mx+b).
Answer:
b=1
m=1/4
y=1/4x+1
Step-by-step explanation:
m is the slope, b is the y-intercept
Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)
Answer:
a, b, d. Yes c. NoStep-by-step explanation:
a. 6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
Yesb. 10 * 53 -4*53 = (10 - 4)*53 = 6*53
Yesc. 6 * 50 + 3 = 303
Nod. 6 * (50 + 3) = 6*53
YesAnswer:
A, B, D = Yes
C = No
6 * 50 + 6* 3 = 6* ( 50 + 3) = 6* 53
10 * 53 -4*53 = (10 - 4)*53 = 6*53
6 * 50 + 3 = 303
6 * (50 + 3) = 6*53
Please help me ASAP
How many pavers are needed to cover the patio?
Answer:
270
Step-by-step explanation:
✔️Area of the Patio = bh
b = 12 ft = 144 in.
h = 10 ft = 120 in.
Area of Patio = 144*120 = 17,280 in.²
✔️Area of Brick Paver = bh
b = 8 in
h = 8 in
Area of the Brick Paver = 8*8 = 64 in.²
The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver
= 17,280/64 = 270
3 inches
1.5 inches
1.5 inches
Answer:
6 inches
Step-by-step explanation:
I need help!
Which of the following has a graph that is a straight line?
a. y^2 = x - 1
b. y = 2x^2 + 4
c. y = 2x + 7
d. y = 3x^3
Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of ∠CBA?
Answer:
the answer is 17 here is the step below
Step-by-step explanation:
Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.
In this case, the angle at point B, let it be α, needs to be found. The Law of Sines can be used to relate α, the two known sides, and the angle at point A.
The Law of Sines states that sinα739=sin95∘2517.
By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.
The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture
To find the measure of the angle ∠CBA
Applying sin law:
sin95/2517 = sin∠CBA/739
0.292 = sin∠CBA
∠CBA = sin⁻¹(0.292)
∠CBA = 17 degrees
Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.
Learn more about the triangle here:
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Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
27.1018494699 round to nearest hundred-thousandth
Answer:
27.101
Step-by-step explanation:
Don’t understand pls help
Answer:
-1.5x + 3
Step-by-step explanation:
The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
Please help on number 5 and ill give brainly
The pottery store can make 176 coffee mugs in an 8 hour day. How many mugs can they make in one hour
Watch your units!
Answer:
22 per hour
Step-by-step explanation:
8 divided by 176 lol Hope I did it right tho ;-;
Answer:
they can make 22 in one hour.
The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.
Answer:
its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)
Two way frequency table: Pairs categorical values to list frequencies
Step-by-step explanation:
For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.
Lunch Bevarage
genders Juice. Milk. Water. Total
Girl : 10 13 17 40
Boy: 15 24 21 60
Total: 25 37 38 = 100
(a) 12 is 15% of what?
someone help me with this
Answer:
-30 is the right one if u need help tell me ;)-
Step-by-step explanation:
:)
150 pounds to 135 pounds
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation:
eye blue like the Atlantic and im going down like the Titanic
Answer:
how is this a question
Step-by-step explanation:
Help me fast pleaseeeee
Answer:
y=-2x-2
Step-by-step explanation:
Find slope and y intercept
A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J, K, L, M, N, O, P, Q, R, S, and T). How many di erent choices of ocers are possible if: (a) There are no restrictions
Answer:
There are 220 choices
Step-by-step explanation:
Given
[tex]People = 12[/tex]
[tex]Selection =3[/tex] (President, Treasurer and Secretary)
Required
Determine number of selection (if no restriction)
This is calculated using the following combination formula:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 12[/tex]
[tex]r= 3[/tex]
So, we have:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
[tex]^{12}C_3 = \frac{12!}{(12 - 3)!3!}[/tex]
[tex]^{12}C_3 = \frac{12!}{9!3!}[/tex]
[tex]^{12}C_3 = \frac{12*11*10*9!}{9!3!}[/tex]
[tex]^{12}C_3 = \frac{12*11*10}{3!}[/tex]
[tex]^{12}C_3 = \frac{12*11*10}{3*2*1}[/tex]
[tex]^{12}C_3 = \frac{12*11*10}{6}[/tex]
[tex]^{12}C_3 = 2*11*10[/tex]
[tex]^{12}C_3 = 220\ ways[/tex]
There are 220 choices
1. if $2,500 is invested into an account that pays 4% interest compounded monthly how long will it take for the investment to double?
2. find the average rate of change of f(x)= x^2 +2x+1 evaluated at x=1+a and x=1
Answer:
SORRYYYYYYY!!!!!!!!!!!
HELP^^^ ITS 7TH GRADE MATH
Answer:
13
Step-by-step explanation:
count outside lines
Answer:
Perimeter: 13
Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.
Answer:
The answer is pie
Step-by-step explanation:
I know best
Answer:
x = -6.00 (rounded to nearest hundredth)
Step-by-step explanation:
for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex] we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]Below are the test scores of nine students on the math test:
50, 50, 50, 50, 51, 89, 90, 90, 90
What is the mean absolute deviation of the test scores? (round to the nearest thousandth)
Answer:
The mean absolute deviation is 19.5
Step-by-step explanation:
Hope this helps!
A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...
Answer: [tex]9.38\times10^{33}[/tex]
Step-by-step explanation:
Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]
A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.
Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]
[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]
Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Step-by-step explanation:
9 +6=15-6=9
so your answer should be 9
mark me brainliest lol
Answer:
now you can say as brainliest to other person :)
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
It says to classify what does this mean I be dumb
In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.
2+5+4 =11
Expect the 13 people/students who didn't play,
Total people 24
P = 24-13=11
P = 11/24
The probability will be equal to 11/24.
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