Answers
Answer:
Question 1Function given:
y = x² + 4x - 4In the vertex form:
y = x² + 4x + 4 - 8 = (x + 2)² - 8Axis of symmetry is the vertical line passing through the vertex.
The vertex is
(-2,-8)Axis of symmetry is
x = -2y- intercept is
x = 0 ⇒ y = -4, so the point (0, -4)Two other points are
x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)See the graph with all the points plotted
Question 2Function given:
y + 2x² - 4x - 6 = 0In standard form:
y = -2x² + 4x + 6In vertex form:
y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8The vertex:
(1, 8)Axis of symmetry is
x = 1y - intercept
x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)Two other pints:
x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)The graph is attached with the points plotted.
Related Questions
What is 5% of 345? ......
Answers
Answer:
17.25
Step-by-step explanation:
5/100 x 345 = 1725/100 = 17.25
X-4y=16
5x+4y=8 Math math math
Answers
Answer:
(4,-3)
Step-by-step explanation:
x-4y=16
5x+4y=8
find x for one equation
x=4y+16
Now plug this into the other equation
5(4y+16)+4y=8
20y+80+4y=8
24y=-72
y=-3
x=4
Answer:
y=-3
x=4
Step-by-step explanation:
All the fractions that are equivalent to 4/5 A. 6/10 B. 8/10 C. 8/15 D. 10/15 E. 12/15
Answers
Answer:
B.8/10,E.12/15
Step-by-step explanation:
4/5×2=8/10
4/5×3=12/15
What additional information would be enough to prove
the triangles are similar? Choose all that apply:
A. ZH ZE
B. EF bisects LHFG
C.ZG = ZH
Answers
5
.
In rhombus QRST diagonals RT and QS are drawn. If m
then which of the following is the measure of
a 90
b 76
C 38
d 48
geometry help !
Answers
Complete Question: In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?
*the diagram of the rhombus is in the attachment below
Answer:
m<SRT = 38°
Step-by-step explanation:
A rhombus has 4 equal sides. Also, diagonals of a rhombus bisect each other Therefore:
∆RST form the rhombus given is an isosceles triangle with two equal lengths, ST and SR, and two equal base angles, <T and <R.
Given that <TSR = 104°, thus,
m<SRT = (180 - 104)/2 = 76/2
m<SRT = 38°
10. John Francis saved P4 on Monday, P16 on Tuesday, P64 on Wednesday and so on. If the
pattern continues, how much will he save on Friday?
Answers
Answer:
On Friday it saved 1,024
Step-by-step explanation:
The computation of the amount saved on friday is given below:
GIven that
On Monday it saved P4
On Tuesday it saved P16 (P4 × 4)
On Wednesday it saved P64 (P16 × 4)
On Thursday it saved 256 (P64 × 4)
On Friday it saved 1,024 (P256 × 4)
15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?
*IMAGE LINKED*
4x+16
4(x+3)
x+34
-4(x+3)
Answers
Answer:
It would be 4(X + 3)
Step-by-step explanation:
There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).
PLSSSSSSS HELP ME WITH THESE FOUR QUESTIONS (•‿•)
Answers
Q2- Left 9 Down 9
Q3- Up 6
Q4- Up 18
Answer:
1. C
2. A
3. C
4. A
Step-by-step explanation:
3/2+b=7/4 need help now
Answers
[tex]Answer:\\\\frac{3}{2} + b = \frac{7}{4}\\\\b = \frac{7}{4} - \frac{3}{2}\\\\b = \frac{7}{4} - \frac{6}{4} \\\\b = \frac{7-6}{4}\\\\b = \frac{1}{4}\\\\Hope \ it \ helps![/tex]
Else purchased a prepaid phone card for $15. Long distance calls cost 6 cents a minute using this card. Elsa used her card only once to make a long distance
cal. If the remaining credit on her card is $13.50, how many minutes did her call last?
Answers
Answer:
25 minutes
Step-by-step explanation:
First you subtract the original amount on the card from the remaining amount left.
So you can get the amount of money spent on that call.
$15 - $13.50 = $1.50
Then you divide that number by how much it cost per minute.
$1.50 ÷ 6 = 0.25
Then you get your answer!
She was on the phone for 25 minutes
Will mark brainliest!! Look at picture for question please
which expression is equivalent to 6Vg^5, if g> 0
Answers
Step-by-step explanation:
Option d is he correct answer.
.....
So to simplify this equation, it becomes
g5/6 (5/6 in exponential form.)
Having trouble with this problem
Answers
Answer:
True
Step-by-step explanation:
It costs $125.00 to rent the swimming pool, plus $4.50 per person. What would be the total cost to rent the swimming pool for 30 people?
Answers
Answer: Hi, I think your answer is gonna be 260 dollars! Have a good day!
Step-by-step explanation:
Annie plans to purchase a car that will cost her $16,000. After putting down a 20% down payment, how much will Annie need to finance?
Answers
16,000 x 0.20 = 3,200 deposit she paid. Subtract that from the total cost
16,000- 3,200= 12,800
Fill in the missing number.
6 x 4 =(
x 4) + (3 x 4)
Answers
Answer:
6x4= 24
x4)+(3x4)=12
bsnskzifkznsnaksifi
The complete sentence is 6 x 4 =( 3 x 4) + (3 x 4)
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
6 x 4 =( x 4) + (3 x 4)
Now, split 6 as two equal quantities
6 = 3+ 3
So, 6 x 4 =24
( 3x 4) + (3 x 4)
= 12+ 12
= 24
Hence, LHS = RHS.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
Find the smaller angle (in degrees) between the hands of a clock at 3:25.
Answers
Answer:
uhh
Step-by-step explanation:
I'm not sure what It is
The dock foreman gets to work each day at 5:30 A.M. He goes to lunch at 11:01 A.M. and gets back to work at noon. He goes home for the day at 3:20 P.M.
How many hours does the foreman work in a 5−day work week?
Answers
Answer:
The foreman works approximately 44 hours in a 5−day workweek.
Step-by-step explanation:
In one day the dock foreman works the following hours:
[tex]t = (11 h + 01 min*\frac{1 h}{60 min}) - (5 h + 30 min*\frac{1 h}{60 min}) + 15 h + 20 min*\frac{1 h}{60 min} - 12 h = 8.85 h = 8 h + 51 min[/tex]
Now, in 1 5-day work week the man works:
[tex]T = 5*t = 5*8.85 h = 44.25 h = 44 h + 15 min[/tex]
Therefore, the foreman works approximately 44 hours in a 5−day workweek.
I hope it helps you!
find the value of 2xy+3yz-xyz, when x=2, y=-2, z=4
Answers
Answer:
-16
Step-by-step explanation:
2xy + 3yz - xyz
x = 2, y = -2, z = 4
First, plug these values into the equation.
2(2)(-2) + 3(-2)(4) - (2)(-2)(4) = ?
Next, multiply the parentheses.
(-8) + (-24) - (-16) = ?
When you add a negative, you are actually subtracting the number. And when you subtract a negative, you are actually adding the number. Apply this to the equation.
-8 - 24 + 16 = ?
Now, simplify from left to right.
-32 + 16
-16
Your answer is -16.
Hope this helps!
Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6
Answers
Answer:
cierto
Step-by-step explanation:
What is the y-intercept of the graph of f ?
Answers
Answer:
(0,4)
Step-by-step explanation:
y intercept is where the line crosses the y axis
Answer:
4
Step-by-step explanation:
Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)
Answers
Answer: (-4,-7)
Step-by-step explanation:
The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.
-6 + -2 = -8
-8+-6=-14
-8 divided 2 = -4
-14 divided 2 = -7
(-4,-7)
AAAHHHHH!!!!!!! SOMEONE HELP!!!!
Answers
Answer:
43.10
Step-by-step explanation:
Je parle une ciart mwoa
Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17
Answers
Writing an Equation in Slope-Intercept Form
Determine the equation for the given line in
slope-intercept form.
Answers
Answer:y=Mx+b
Step-by-step explanation:
Find the area of this circle. Use
3.14 for a
68 mm
The area of the circle is about mm?
(Round to the nearest hundredth as needed.)
Answers
Answer:
(3.14)(68)^2=14519.40mm^2 if 68mm is the radius
Step-by-step explanation:
Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.
Answers
you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50
Rick buys 18 apples for $13. How much would it cost to buy 24 apples?
Answers
Answer:
$33.23
Step-by-step explanation:
If 18 apples cost $13, this means that each apple costs 1.38461538. To find the cost of 24 apples, multiply that decimal number by 24. You will get 33.2307692308. You can round this to 33.23.
Please help will give brainliest.
Answers
Answer:
D
Step-by-step explanation:
a is false since x could be 0.
b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)
c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.
d must be true due to process of elimination but let's check to make sure.
7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct
On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.
"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."
"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."
"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."
Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "
"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."
How much are the rides? How much did Marc spend
Answers
Answer:
Cost of one Teacup = $3
Cost of one Roller coaster = $4
Cost of one Spinning Vortex = $6
Marc spent = 3x + 2y + 2z = $29
Step-by-step explanation:
Let
Cost of one Teacup = x
Cost of one Roller coaster = y
Cost of one Spinning Vortex = z
In Kristen case -
2x + 2y + z = $20
In Jorge case -
x + y + 3z = $25
In Lakesha case -
5x + 2y + z = $29
In Marc case -
3x + 2y + 2z = ?
Now, we have
2x + 2y + z = $20 ......(1)
x + y + 3z = $25 ........(2)
5x + 2y + z = $29 .........(3)
Now,
Subtract equation (1) from equation (3), we get
5x + 2y + z - ( 2x + 2y + z ) = $29 - 20
⇒5x + 2y + z - 2x - 2y - z = $9
⇒3x = $9
⇒x = $3
Now,
Multiply be 2 in equation (2) , we get
2x + 2y + 6z = $50 ........(4)
Now,
Subtract equation (1) from equation (4), we get
2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20
⇒2x + 2y + 6z - 2x - 2y - z = $30
⇒5z = $30
⇒z = $6
Now,
Put the values of x and z in equation (2) , we get
$3 + y + 3($6) = $25
⇒$3 + y + $18 = $25
⇒y + $21 = $25
⇒y = $25 - 21
⇒y = $4
∴ we get
Cost of one Teacup = x = $3
Cost of one Roller coaster = y = $4
Cost of one Spinning Vortex = z = $6
Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29
2 1/4 + 3/4 =
276x40
Answers
276 x 40 = 11040
