Answers
Answer:
g(x) = x² + 4x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 2, 1 ), thus
y = a(x + 2)² + 1
To find a substitute (0, 5) ← y- intercept into the equation
5 = a (0 + 2)² + 1 ( subtract 1 from both sides )
4 = 4a ( divide both sides by 4 )
a = 1
g(x) = (x + 2)² + 1 ← in vertex form
Expand parenthesis and simplify
g(x) = x² + 4x + 4 + 1, then
g(x) = x² + 4x + 5 ← in standard form
Related Questions
please help!!
My age today is
three times what it
will be three years
from now
minus three times
what my age was three
years ago.
How old am I?
Answers
what is an expression equivalent to
4b + 5y - 3b + 8y
Answers
Answer:
b + 13y
Step-by-step explanation:
4b + 5y - 3b + 8y = 4b - 3b + 5y + 8y
I rearranged the like terms together.
4b - 3b + 5y + 8y = b + 13y
Simplify.
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= −16t^2 + 8t + 48, where t is the time (in seconds) after he throws the marshmallow.
How long does it take the marshmallow to hit the ground, where h=0?
0.5 minutes
3 seconds
1.5 minutes
1.5 seconds
*2 seconds* answer
2 minutes
0.5 seconds
3 minutes
Sorry I don't need help
Answers
Answer:
b trust me
Step-by-step explanation:
trust
460divided by 9 estimated would be 50
Answers
Answer:
it would be 51
Step-by-step explanation:
460 divided by 9 is 51.111...
so the estimated result would be 51 since 51.111... rounds down to 51
If a point is randomly chosen on the regular hexagon shown, what is the probability that it will be in a green section of the figure?
1/6
1/3
1/2
3/4
Answers
Answer:
1/2
Step-by-step explanation:
i just took the test on usatestprep
Answer:
1/2
Step-by-step explanation:
We want to factor the following expression: (x+7)^2+2y(x+7)+y^2 which patter can we use to factor the espression? U and V are either constant integers or single-variable expressions.
A. (U+V)^2 or (U-V)^2
B. (U+V)(U-V)
C. We can’t use any of the patterns.
Answers
Answer:
A. (U+V)^2 or (U-V)^2
Step-by-step explanation:
Please help me with 11
Answers
Answer:
19 minutes
Step-by-step explanation:
find the average of the 2 highest years of experience
.
GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!!
Answers
Answer:
D
Step-by-step explanation:
Answer:5
Step-by-step explanation:
hihihi
Please show all your work!!!
Answers
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
[tex]\sqrt[3]{250} -\sqrt[3]{54}[/tex]
help plzz
Answers
Answer:
exact form: 2 ^3√2
Step-by-step explanation:
Find the slope of the line that goes through the points (0, 9) and (-2, -4).
Answers
Answer:
I think it is 13 over 2
Step-by-step explanation:
A recipe for giant soap bubbles uses 1/2 cup dishwashing liquid and 4 1/2 cups of water. How many cups of water will be used with 1 1/2 cups of dishwashing liquid?
A. 5 1/2
B. 6
C. 9
D. 13 1/2.
Answers
Answer: D. 13 1/2.
Step-by-step explanation:
1/2*3= 1 1/2 cups of dishwashing liquid.
4 1/2*3= 13 1/2 cups of water will be used with 1 1/2 cups of dishwashing liquid.
please help please help please help
Answers
Find the slope of the line that passes through the given points.
(-5, 2) and (-2,8)
A 1/2
B 2
C -2
D) 6/7
E -6/7
Answers
Answer:
I do not know
Step-by-step explanation:
Who is most likely to be in favor of protectionist policies? A. A government that wants to contain the cost of public services B. A producer who is concerned about training workers C. A consumer who wants to pay lower prices D. A factory worker who is concerned about keeping a job
Answers
Answer:
A. A government that wants to contain the cost of public services
Step-by-step explanation:
Consider the equation and its solution.
8(x-2) = 64
8x-18-84
8x = 80
X=10
Which property is used in the last step to find thatx-10?
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answers
Answer:
division property of equality
Step-by-step explanation:
The property used in the last step to find x = 10 in the expression is the division property of equality.
8(x-2) = 64
8x-18 = 84
8x = 80
x = 10
In 8x = 80 ;
Division property of equality was used to find the value of x.
The property states that when we divide both sides by a non-zero value, the two sides remains the same.
quadrilateral ABCD is inscribed in circle E. the m<A=152 find m<C
Answers
Answer:
The angle for C is 28°.
Step-by-step explanation:
In a cyclic quadrilateral, opposite angles are supplementary which means that both angles add up will be 180° :
∠A + ∠C = 180°
152° + ∠C = 180°
∠C = 180° - 152°
∠C = 28°
Answer:
B. 28
Step-by-step explanation:
The answer above me is right, I used their answer on my question earlier and I ended up getting the question right. Hope this helps!
Priya noticed in the last activity that between the 2 triangles, you only need to know 4 angles to show that they are similar. She wondered which fourth angle would work to prove that triangle RST is similar to triangle EFG. Draw a sketch of the triangle. Then pick one angle measurement that would prove the triangles are similar. Explain to Pyria why knowing that angle would be enough.
Answers
Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.
Alex is making chocolate cakes. For each cup of milk he uses, he needs to use 1/2 cups of flour. For each
cup of flour he uses, he needs to use 1/3 cup of cocoa powder. Alex is making enough cakes that he needs
to use 4 cups of milk. How many cups of cocoa powder does Alex need to use?
Answers
answer: 2/3 (or 0.67) cups of cocoa
Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer
at least that's what i got
Sonja's credit card has an APR of 21%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal New
month balance
charges received charges paid balance
1
$0.00
$700.00 $0.00 $0.00 $0.00 $700.00
2 $700.00 $0.00 $14.00 $12.25 $1.75
$698.25
3 $698.25
$0.00 $13.97 $12.22 $1.75 $696.50
4 5696.50 $0.00 $13.93
$12.19 $1.74 $694.76
5 $694.76 $0.00 $13.90 $12.16 $1.74 $693.03
$693.03 $0.00 $13.86 $12.13 $1.73 $691.29
7 $691.29 $0.00 $13.83 $12.10 $1.73
5689.57
O
UN
About what percentage of Sonja's payments so far have gone to paying
interest?
O A. 10%
O B. 21%
O C. 23%
O D. 87%
Answers
Answer: D 87%
Step-by-step explanation:
Ap-ex
Tell me which if these two tables are functions or not and why
Answers
A rope is tied to a 8 ft falling tree. What could be the length of the rope, if the
person is 10 ft from the tree?
help :))
Answers
Answer:
10 ft
Step-by-step explanation:
2
Select the correct answer.
Simplify the following expression.
Answers
Answer:
The answered would be 1/64 since it's simplified
Answer:
I think the exact form is 1/64
The point (2, 1) is a solution to which of the following systems of equations?
2x + y = 5 and −2x + y = 2
−2x − y = −5 and 2x − y = 2
−x + y = 3 and −3x + y = −5
x + y = 3 and 3x − y = 5
Answers
[tex]\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}[/tex]
We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.
System 1 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 2 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 3 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}[/tex]
System 4 - [tex]\Large\checkmark[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}[/tex]
Since both equations in the final system are true when solved with [tex](2, 1)[/tex], the answer is the last system.
Look at the student work shown below.
Simplify: 6t(5s + 7).
(6t)(5s) + 7
30st + 7
Did the student correctly simplify the expression? If “yes,” explain the steps the student followed. If “no,” explain what the student did wrong and what should have been done. 20 points. WILL MARK THE BRIANLIEST!!!! PLS HURRY!! ANY WRONG ANSWERS WILL BE FLAGGED.
Answers
Answer:
NO WRONG (6T)(5S)+7 IS WRONG YOU ARE SOPOSED TO ADD THAT 6+5=11 11+7=18 18 DIVIDED BY 7=2.5
Step-by-step explanation:
SORRY FO CAPLOCK THAT HOW I TYPE SIR
Can someone please help? I’m a little stuck here.
Factor Differences Of squares.
Answers
Answer:
29. 9p(2p+1)(2p-1)
31. 4k(2k+5)(2k-5)
Step-by-step explanation:
29. 9p(36p^3/9p-9p/9p)
9p(4p^2-1)
9p((2p)^2-1^2)
9p(2p+1)(2p-1)
31. 4k(16k^3/4k+-100k/4k)
4k(4k^2-25)
4k((2k)^2-5^2)
4k(2k+5)(2k-5)
You rent an apartment that costs $1800 per month during the first year, but the rent is set to go up 9.5% per year. Write a recursive formula to show what the rent is during the nth year of living in the apartment.
Answers
Answer:
Step-by-step explanation:
You rent an apartment that costs \$1800$1800 per month during the first year, but the rent is set to go up \$160$160 per year. What would be the monthly rent during the 9th year of living in the apartment?
\text{Write out the first 3 terms:}
Write out the first 3 terms:
a_1=1800\leftarrow \text{rent in 1st year}
a
1
=1800←rent in 1st year
a_2=1960\leftarrow \text{rent in 2nd year}
a
2
=1960←rent in 2nd year
a_3=2120\leftarrow \text{rent in 3rd year}
a
3
=2120←rent in 3rd year
\text{Arithmetic Sequence: }d=160
Arithmetic Sequence: d=160
The common difference
\text{Explicit Formula: }
Explicit Formula:
a_n=
a
n
=
\,\,a_1+(n-1)d
a
1
+(n−1)d
a_{\color{green}{9}}=
a
9
=
\,\,1800+(\color{green}{9}-1)(160)
1800+(9−1)(160)
a_{9}=
a
9
=
\,\,3080
3080
Is (25, -50) a solution to the equation y = 450 + 20x
Answers
Answer:
no
Step-by-step explanation:
Is the relation a function?
(9,-8) (12, 7) (1, 13) (-9, 3) (4, 0)
Yes
No
No answer text provided.
O No answer text provided.
Answers
7/8 = 21/k whats k
Answers
Answer:
k = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
7/8 = 21/k
Step 2: Solve for k
Cross-multiply: 7k = 168Divide both sides by 7: k = 24Step 3: Check
Plug in k to verify it's a solution.
Substitute: 7/8 = 21/24Simplify: 7/8 = 7/8Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.
7(k) = 8(21) , 7k = 168 , k = 24