Answer:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.
Step-by-step explanation:
Answer:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.
Step-by-step explanation:
Sample response
An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer: x = 7
Step-by-step explanation:
6(2x-11)+15=3x+12
1) Distribute 6 (distributive-property)
12x - 66 + 15 = 3x + 12
12x - 51 = 3x + 12
Subtract 12 from both sides; what ever you do to one side, you need to do to ther other.
12x - 63 = 3x
Subtract 3x from both sides.
9x - 63 = 0
Add 63 to both sides.
9x = 63
Divide by 9 to getx by itself.
63/9 = 7
x = 7
Plssss help plssssss
Answer:
True
Step-by-step explanation:
Just compare the numbers to the dots.
I hope this helps!
pls ❤ and give brainliest pls
Answer:
true
Step-by-step explanation:
The answer is true.
If you know the answer can you please walk me through how you got it.
Answer: Choice B
1 & 3/4
=============================================
Explanation:
Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.
Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.
We'll divide the numerators 7 and 4 to get
7/4 = (4+3)/4
7/4 = (4/4) + (3/4)
7/4 = 1 + (3/4)
7/4 = 1 & 3/4
Meg can get 1 & 3/4 servings from the jug.
1. Find x.
Please help ASAP
Answer: 2.31
Step-by-step explanation:
See photo/ will give 10 points.
Answer:
B) Multiply by 3/2 on both sides of the equation by the multiplication property of equality
Which could be the first step in simplifying this expression? Check all that apply.
Answer:
[tex](x^{-3})^2[/tex]
Step-by-step explanation:
applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents
Help if you don’t mind
y-5=m(x-6) solve for m
5 + -6m + mX,
If you like, I can explain a bit more!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
To find the length of segment AB, when given coordinates A (2.3) and B(1,9) it's best to use the Distance Formula.
O True
O False
Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?
6
338
365
3,300
Answer:
338
Step-by-step explanation:
55miles/h,
it would take 310/55 =62/11 h to reach syracuse
62/11 h = 338.181818mins ≈ 338mins
The width of a rectangle is 4 feet more than the length. If the length is doubled and the width is decreased by 2 feet, a new rectangle is formed whose perimeter is 68 feet. Find the dimensions of the original rectangle.
Answer:
Step-by-step explanation:
We'll work through this by setting up a table, as follows:
original new
width
length
It tells us the width of a rectangle is 4 feet more than the length. If we don't know the length, we'll call it L; that means that the width is L + 4, because the width is the length plus 4 more feet. Put that into column 1:
original new
width L + 4
length L
The next sentence tells us how the original rectangle is being manipulated to create a new rectangle, so that information goes into the column named "new". The original length is doubled:
original new
width L + 4
length L 2L
and the original width is decreased by 2:
original new
width L + 4 L + 4 - 2 (which simplifies to L + 2)
length L 2L
The perimeter of the new rectangle is 68. The formula for the perimeter is
P = 2L + 2w, so filling in our info along with the given perimeter:
68 = 2(L + 2) + 2(2L) and
68 = 2L + 4 + 4L and
68 = 6L + 4 and
64 = 6L so
L = [tex]\frac{32}{3}[/tex] and the width then is
w = [tex]\frac{32}{3}+4[/tex] so
w = [tex]\frac{44}{3}[/tex]
What is the reminder? Help
Answer:
6
Step-by-step explanations:
The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.
Hope this helps.
Find the indicated side of the right triangle
Answer:
Step-by-step explanation:
tan30°=3/x
xtan30°=3
x=3/tan30°
x= 5.2
1. Which is an example of an algebraic expression? (2 point) A.4(3+8) B.18² C.3-a D.21×4
Answer:
C
Step-by-step explanation:
The answer is C cz it contains the letter a
Write the area A of an equilateral triangle as a function of the length s of its sides.
STEP 1: Find the base of the equilateral triangle in terms of s.
STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.
Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.
HOPE SO IT HELPS YOU
Answer:
Step-by-step explanation:
Part A
Each side including the base is s.
Part B
Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2
The hypotenuse is s
The base is 1/2s
h^2 = s^2 - (1/2s)^2
h^2 = s^2 - 1/4 s^2
h^2 = 3s^2/4
h = sqrt(3)/2 *s
Area = 1/2 * s * sqrt(3)/2 s
Area = 1/4 * s^2 * sqrt(3)
factorisation of 4x^2-5x-1
provisions for 630 men to last for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?
Answer:
105
Step-by-step explanation:
25 days = Food for 630 men
30 days = x (Inverse variation)
30 * x = 630 * 25
x = 630 * 25/30
= 21 * 25
= 525 men.
630 - 525 = 105 men.
Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days.
whats the volume the triangular prism?
Answer:
V = 1000 cm³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Bh ( where B is the area of the triangular end and h is the height )
B = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 10 × 8 = 5 × 8 = 40 cm² , then
V = 40 × 25 = 1000 cm³
what is 2 to the negitive one power
Answer:
1/2
Step-by-step explanation:
2^ -1
We know that a^-b = 1/a^b
1 / 2^1
1/2
A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?
Answer:
$31.5
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 600 * 5.25 /100 = 31.5
what is the rename of 10/21
Answer: ten Twenty-one
Step-by-step explanation:
10/21
Find the length of each segment.
W X
Y
--5
0
5
5. WX
6. WY
The length of the line segments WX and XY will be 2 and 9, resprectively.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The three points are W, X, and Y on the line.
From the diagram, the distance between the points W and X which is the line segment WX will be 2.
Similarly, from the diagram, the distance between the points W and Y which is the line segment WY will be 9.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ2
Rae earns $60 for playing music on Saturday nights at the local coffee house. She makes an average of $5.25 in tips per hour. Write the function of Rae's earnings, and solve for how much she would make after 4 hours. (1 point) a y
On Earth day, a local community wants to distribute 800 flyers, 300 banners, and 250 badges to volunteers in packets containing the three items. What is the greatest number of packets that can be made using all these items if each type of item is equally distributed among the packets?
Answer:
800 flyersOn Earth day, a local community wants to distribute 800 flyers, 300 banners, and 250 badges to volunteers in packets containing the three items. What is the greatest number of packets that can be made using all these items if each type of item is equally distributed among the packets?
<RQT is a straight angle. What are m<RQS and m<TQS? (also I know it's 19x+9. I need the numbers like 180 or something) it's degrees.
Answer:
<RQS=103 degrees
<SQT=77
Step-by-step explanation:
19x + 9 = 180 subtract 9 from both sides
19x = 171 divide both sides by 19
x = 9 replace 9 for x in your original
11 x 9 + 4 = 103
8 x 9 + 5 = 77
Answer:
RQS=103°,SQT=77°
SEE THE IMAGE FOR SOLUTION
Answer this question
Answer:
The answer is 10%
Step-by-step explanation:
Given,
C.P = 50
Profit = 5
So, S.P = 55
Now,
[tex]Percentage=\frac{S.P-C.P}{C.P}=\frac{55-50}{50}=0.1[/tex]
= 0.1 × 100% = 10%
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}
A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²
let breadth be X
length = 2x
height = 8m
rate of painting the four wall= 20/m^2
cost of painting=9600
Area of four wall= cost of painting / rate
= 9600/20
= 480m^2
again,
Area of four wall = 2 h(l+b)
or, 480=2×8(X+2x)
or, 480/16=3x
or, 30/3=X
or, X= 10m
again,
2x= 2×10m=20m
again,
Area of floor = length × breadth
= 20×10
=200m^2
again,
rate of carpeting the floor= 400/m^2
cost of carpeting the floor = rate × area
= 400× 200
= Rs. 80000
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
Twice the difference between a number and 4 is twenty. Find the number.
А. 8
B. 9
C. 12
D. 14
Please help!!!
Answer:
D 14
Step-by-step explanation:
Let x be the number
2(x-4) = 20
Divide each side by 2
2/2(x-4) = 20/2
x-4 = 10
Add 4 to each side
x-4+4 = 10+4
x = 14
Answer:
The number is 14
Step-by-step explanation:
Let's call this unknown number of x:
2×(x – 4) = 20
2x – 8 = 20
2x = 20 + 8
2x = 28
x = 28/2
x = 14
