Answer:
Following are the solution to the gvien question:
Step-by-step explanation:
Let the quadratic equation is:
[tex]\to h(x) = (x + 1)^2 - 4[/tex]
vertex is:
[tex]\to h(x) = a(x -h)^2 + k[/tex]
(h) = axis of symmetry
(h,k) = vertex.
By using the given equation:
[tex]h(x) = (x - (-1))^2 - 4[/tex]
Hence,
[tex]h = -1 \\\\ k = -4[/tex]
line of symmetry [tex]x = -1[/tex]
vertex is [tex](h,k) = (-1,-4)[/tex]
finding the x intercept:
[tex](x + 1)^2 = 4\\\\\sqrt{(x + 1)^2} = \sqrt{4}\\\\x + 1 = \pm 2\\\\x = 2-1 \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-2 -1\\\\x = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-3\\\\[/tex]
x -intercepts -3,1
Calculating the y-intercept when x = 0 putting into the real equation:
[tex]h(x) = (0 +1)^2 - 4 \\\\y = 1 - 4\\\\y = -3[/tex]
Please find the graph file in the attachment.
Câu 19: Tổng của một số số nguyên dương (không nhất thiết khác nhau) bằng 11. Hỏi tích của chúng có thể đạt giá trị lớn nhất bằng bao nhiêu? A. 40 B. 48 C. 54 D. 96
Answer:
Lựa chọn A
Step-by-step explanation:
Được
Tổng của hai số nguyên dương = 11
Hai số có thể được chia thành hai phần là 6 và 5 hoặc (7 và 4), (8 và 3), v.v.
Vậy sản phẩm tối đa có thể thu được là 30
Vậy phương án A là giải pháp gần nhất
M is the midpoint od AN, A has coordinates (-4,-4), and M has coordinates (-7,1). Find the coordinates of N
Answer:
Since M is the Midpoint.
M(-7,1)
A(-4,-4) N(x,y)
From Midpoint Formula
-7 = -4 + x/(2)
-14=-4+x
x=-10
1=-4+y/2
2=-4+y
y=6.
N has the points (-10,6).
Hope this helps!
Answer:
Solution given:
A(x1,y1)=(-4,-4)
M(x,y)=(-7,1)
N(x2,y2(x,y) let
we have
midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}
(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value
-7=(-4+x)/2
-14=-4+x
x=-14+4
x=-10
and
1=(-4+y)/2
2=-4+y
y=4+2
y=6
coordinates of N is (-10,6)
How many negative integers are there
between -5 and 2?
A 6
C 4
B 5
D 3
Answer:
There are 4 negative integers between -5 and 2
The first three members of a sequence are shown.
How many dots are in the full fourth member of the
sequence?
Please help! solve using picture. will mark as brainliest !
Answer:
As a result, seen in the picture the answer will be 14 which is letter b.
Step-by-step explanation:
1 + 5 + 9 =14.
Hopes this help.
Good luck.
A line has equation y= −2/3 x-4.Write down the y-intercept of the line.
What is the perimeter of a rectangle with a length of 6 and a width of 5?
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
Length of the rectangle (l) = 6
Width of the rectangle (w) = 5
Perimeter of the rectangle (p) = ?
[tex]p = 2(l + w) \\ p = 2(6 + 5) \\p = 2(11) \\ p = 2 \times 11 \\ p = 22 \: \: units[/tex]
⎆ The perimeter of the rectangle (p) is 22 units.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What is the base of the expression 1113?
3
11
12
21
Answer:
7
Step-by-step explanation:
I just guessed 7 and believe me its right
Triangle ABC is the image of triangle ABC after a translation of 2 units to the night and 3 units
up is triangle ABC congruent to triangle ABC?
Answer:
yes the triangle is congruent, because you did not use any transformations you on used translations.
but if you used transformations it would be similar not congruent
What two numbers multiply to get -36 but add to -16
Answer:
-18 and 2
Step-by-step explanation:
- 18 x 2 = -36
-18 + 2 = -16
Answer:
-18 & 2
Step-by-step explanation:
-18 * 2 = -36
-18 + 2 = -16
The constants a, c and d are positive. Solve the inequality for x.
d - cx > a
Answer:
x < (d - a)/c
Step-by-step explanation:
d - cx > a
cx < d - a
x < (d - a)/c
Answer:
It's B
Step-by-step explanation:
Solve the system of equations using the substitution method.
-5x − 3y = 16
y = x
(x, y) = (
,
Answer:
x = y = -2
Step-by-step explanation:
Hope this helps
Answer:
[tex]y = - 2 \\ x = - 2[/tex]
Step-by-step explanation:
Question[tex] - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2[/tex]
Now you can write the 1st equation like this.
[tex] - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3[/tex]
Now simply Solve the 3rd equation
[tex] - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2[/tex]
Now replace y as 2 in the 2nd equation like this
[tex]y = x \\ - 2 = - 2[/tex]
Now let's check whether the answer correct or wrong
[tex] - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16[/tex]
Yes, the answer is correct
hope this helps you !!
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
please help mee i dont understand
Answer:
Step-by-step explanation:
(2x-5)(x+6)=0
either 2x-5=0 Or, x+6=0
2x-5=0
2x=0+5
x=5/2
x+6=0
x=0-6
x=-6
so x=5/2 , x=-6
Find x, given that the mean of 50, 70, 70, 80, 90, 100, 120 and x is 110
Value of " x " is :
[tex] \boxed{ \boxed{300}}[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Larry conducts an experiment with groups randomly assigned to one of three conditions: (1) writing about traumatic events, (2) writing about happy events, OR (3) writing about neutral events. Larry then measures the number of visits each participant makes to the health center over the next six months. Larry gives the participants a pretest regarding their health visits prior to the study so that he can create sets of participants who are equivalent on that variable. In this design, Larry has used _________ sets.
Answer:
Matched set
Step-by-step explanation:
The type of set created here is a matched set where each of the participants are are grouped into variables equivalent to thwor number of visits which is based in prior investigation. The set of participant classed in to each group of neutral, traumatic and happy events are similar based on the grouping condition which is the number of health visits. Hence, when we have classes formed from equivalent behavior of characteristic based on the essence of an experiment, we have matched set.
Determine whether each sequence is arithmetic or geometric. Sequence 1: –10, 20, –40, 80, ... Sequence 2: 15, –5, –25, –45, ...
A. Sequence 1 is arithmetic and Sequence 2 is geometric.
B. Both sequences are geometric.
C. Sequence 2 is arithmetic and Sequence 1 is geometric.
D. Both sequences are arithmetic.
sequence 2 may be arithmetic because -20 but I can't find out what sequence 1 is
Answer:
C. Sequence 2 is arithmetic and Sequence 1 is geometric.
Step-by-step explanation:
Arithmetic sequence is where number is continuously increased or decreased in same amount we can see that the second sequence is decreases by 20 continuously
Geometric sequence is where a number is continuously divided or multiplied by same number
we can see that the first sequence is continuously multiplied by (-2)
Latavia purchased adult and child tickets for the fall festival. Tickets cost $14.88 for each adult and $8.88 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Latavia purchased.
Answer:
14.88x + 8.88y =
Step-by-step explanation:
This may be wrong but I think it’s this
Answer:
14.88x+8.88y=T
x+y= T
Step-by-step explanation:
Offering 30 points and branliest ‼️‼️‼️ show work
Dang, I'm only 12 I don't knowwwww
Answer:
hey buddy sorry i dont know the answer hope this help
Step-by-step explanation:
Theresa has an umbrella stand at the beach. - All of them are blue, except for six. - All of them are yellow, except for six. - All of them are red, except for six. How many blue umbrellas does Theresa have?
Answer:
3 Blue Umbrellas
Step-by-step explanation:
Given
[tex]B \to Blue[/tex]
[tex]Y \to Yellow[/tex]
[tex]R \to Red[/tex]
From the question, we have:
[tex]Y + R = 6[/tex] ---- i.e. 6 are not blue
[tex]B + R = 6[/tex] ---- i.e. 6 are not yellow
[tex]B + Y = 6[/tex] ---- i.e. 6 are not red
Required
The number of blue umbrellas
Make B the subject in: [tex]B + Y = 6[/tex]
[tex]B = 6 - Y[/tex]
Substitute: [tex]B = 6 - Y[/tex] in [tex]B + R = 6[/tex]
[tex]6 - Y + R = 6[/tex]
Collect like terms
[tex]R - Y = 6 - 6[/tex]
[tex]R - Y = 0[/tex]
Rewrite:
[tex]R = Y[/tex]
Substitute [tex]R = Y[/tex] in [tex]Y + R = 6[/tex]
[tex]Y + Y = 6[/tex]
[tex]2Y = 6[/tex]
Divide both sides by 2
[tex]Y=3[/tex]
Recall that: [tex]B = 6 - Y[/tex]
[tex]B = 6 - 3[/tex]
[tex]B = 3[/tex]
The Vangsgas bill for November was $53. The December bill was
30 more than that, and January's bill was $49 more than December's
bill. They found that the total for the 3 months was $238. Is this
Explain
Answer: the right answer is 268
Step-by-step explanation:
Since November was $53 you add 30 more to get Decembers bill you will get it $83 for December. Next you add $49-$83 to your January and that will be 132. You are all through the month so will be $53+$83+132 =268
Hi Gus helps assap:(:)) choose a answers for these two questions don’t answer if You don’t know but yeah :)))
Answer:
go and di
Step-by-step explanation:
radius stops halfway thru the shape
Guys, I have a test today! Pls answer this wisely, I have to turn it in!!!!
Answer
Other
Step-by-step explanation:
If it was linear, it would have 1 multiplier. If it was exponential, it would have a pattern.
4x+ 5 = 2x + 13..........
Answer:
x = 4
Step-by-step explanation:
4x + 5 = 2x + 13
4x - 2x + 5 = 2x - 2x + 13
2x + 5 = 13
2x + 5 - 5 = 13 - 5
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
[tex]4x+ 5 = 2x + 13[/tex]
[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+5=2x+13[/tex]
[tex]Simplify[/tex]
[tex]4x=2x+8[/tex]
[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]
[tex]4x-2x=2x+8-2x[/tex]
[tex]Simplify[/tex]
[tex]2x=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{8}{2}[/tex]
[tex]x=4[/tex]
Answer[tex]x=4[/tex]
-------------------------hope it helps...have a great day!!Un dulce de chocolate de 30gr, marca en su empaque que contiene el 10% de cocoa, ¿Cuántos gramos de cocoa representa esto?
Answer:
The mass of cocoa in chocolate candy is 3 g.
Step-by-step explanation:
30gr chocolate candy, mark on its packaging that it contains 10% cocoa, how many grams of cocoa does this represent?
mass of chocolate candy = 30 g
cocoa contains = 10 %
Now the mass of cocoa = 10 % of 30 g = 0.1 x 30 = 3 g
Mass of cocoa in the candy is 3 g.
please help i need helpppppp
Answer:
15.62
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]10^2+12^2=c^2[/tex]
[tex]100+144=c^2[/tex]
[tex]c^2=244[/tex]
[tex]\sqrt{244} =[/tex] 15.62
Answer:
first option
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + 10^2 = 12^2
x^2 + 100 = 144
x^2 = 144 - 100
x^2 = 44
x = [tex]\sqrt{44}[/tex]
x = 6.63
Mark, Jessica, and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock, and hip hop. Jessica
downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Which system of equations represents their music choices?
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
what types of concurrent constructions are needed to find the centroid of a triangle?
Answer: intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.
Step-by-step explanation:
In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
4/28 (simplified to 1/7)
Step-by-step explanation:
Given:
There are 28 total students in the class9 of them play basketball17 of them play baseball6 of them play neither sportQuestion:
What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Because we know there are 28 total students in the class and 6 play neither basketball nor baseball, then there are 28-6 = 22 students who either play ONLY basketball, ONLY baseball, or bothWe know that 9 out of the 22 play basketball and 17 out of the 22 play baseballTherefore, 22-9 = 13 students play ONLY basketball, and 22-17 = 5 students play ONLY baseballThis means that the amount of students that play BOTH basketball and baseball is 22-(13+5) = 22-18 = 4 studentsTherefore, the probability that a student chosen randomly from the class plays both basketball and baseball is 4/28 or 1/710(h+1) - 4 = 76
please help
Answer:
Step-by-step explanation:
10(h+1)-4=76
10h+10-4=76
10h+6=76
10h=76-6
h=70/10
h=7
Which expression is equivalent to .,,. PLEASE HELPPPPPPP
B. [tex]6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](6 {x}^{3} + 3 {x}^{2} + 8) + (2 {x}^{2} - 9x + 10) \\ = 6 {x}^{3} + 3 {x}^{2} + 2 {x}^{2} - 9x + 8 + 10 \\ = 6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]