Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5
Answer:
y-intercept (0,-5) and AOS x = -4
Step-by-step explanation:
To find the y-int make x = 0 so f(0) = -5
The axis of symmetry (AOS) can be found by the equation x = -b/2a
So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a
how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Answer:
3 quarts
Step-by-step explanation:
First, find how many quarts of antifreeze is in the mixture.
0.4 x 6 = 2.4
Now, make it into a fraction by putting the antifreeze amount over the rest so:
2.4/6
Now add + a at the end of the numerator and bottom to make:
2.4 + a/ 6 + a.
Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.
Now, make it an expression by adding = 3/5 at the end of the equation.
2.4 + a/ 6 + a = 3/5
Now, use cross multiplication.
12 + 5a = 18 + 3a
Now, solve the equation.
12 + 5a = 18 + 3a
-3a. -3a
12 + 2a = 18
-12. -12
2a = 6
/2. /2
a = 3.
Therefore, the answer is 3 quarts.
Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the tem is
positive, find
1) the value of b. (8)
ii) the first term and common ratio. (18,2/3)
(2009)
Answer:
1. b = 8
2. First term (T₁) = 18
Common ratio (r) = 2/3
Step-by-step explanation:
1. Determination of the value of b.
2b+2, b+4, b
First term (T₁) = 2b + 2
2nd term (T₂) = b + 4
3rd term (T₃) = b
The value of b can be obtained as follow:
Common ratio = T₂/T₁ = T₃/T₂
T₂/T₁ = T₃/T₂
(b + 4)/(2b + 2) = b/(b + 4)
Cross multiply
(b + 4)(b + 4) = b(2b + 2)
Expand
b(b + 4) + 4(b + 4) = b(2b + 2)
b² + 4b + 4b + 16 = 2b² + 2b
b² + 8b + 16 = 2b² + 2b
Rearrange
2b² – b² + 2b – 8b – 16 = 0
b² – 6b – 16 = 0
Solving by factorisation
b² – 8b + 2b – 16 = 0
b(b – 8) + 2(b – 8) = 0
(b – 8)(b + 2) = 0
b – 8 = 0 or b + 2 = 0
b = 8 or b = –2
Since each of the terms are positive, therefore, b is 8.
2. Determination of the first term and common ratio.
2b+2, b+4, b
First term (T₁) = 2b + 2
b = 8
First term (T₁) = 2(8) + 2
First term (T₁) = 16 + 2
First term (T₁) = 18
2nd term (T₂) = b + 4
b = 8
2nd term (T₂) = 8 + 4
2nd term (T₂) = 12
Common ratio (r) = T₂/T₁
First term (T₁) = 18
2nd term (T₂) = 12
Common ratio (r) = 12/18
Common ratio (r) = 2/3
Simplify it and please show work
1) 16
2) -6 -(-17) = -6 +17= 11
3) 19 -(-2) = 19 + 2 = 21
4) -13 + 20 = 7
5) -22
6) -9
7) -19
8) -6
9) -17
10) -20
11) -15 -(-10) = -15 + 10 = -5
12) -1
13) 30
14) 11 -(-9) = 11 + 9 = 20
15) 16
16) -21
Pls help me complete this
Answer: The number of times a yellow cube will be drawn is 390 times.
Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.
Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.
78/240 = x/1200
Multiply 78 and 1200, which is 93,600.
Divide that by 93,600, which is 390.
Evaluate the function requested. Write your answer as a fractic
B
f
52
20
A
48
Find tan A.
Answer:
b. Tan A = 5/12
Step-by-step explanation:
Recall: SOHCAHTOA.
Since the trigonometric function we are to find is Tan A, we would use TOA, which is:
Tan θ = Opp/Adj
θ = A
Opp = 20
Adj = 48
Thus:
Tan A = 20/48
Simplify the fraction
Tan A = 5/12
I need the answer to
Answer:
I think its B
Hope this helps
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?
Answer: the length is 8
Step-by-step explanation: Because 11 minus 8 is 3
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
answer:
i believe 28
Step-by-step explanation:
39 is what percent of 52?
Answer:
1.3 percent
Step-by-step explanation:
Given that n is an integer and 0 < 4n <30, what is the sum of all possible integer values of n
n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.
n = 1, 2, 3, 4, 5, 6, 7
1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
7x+1=3x+9 basic equations
Answer:
= 2
Step-by-step explanation:
Answer:27
Step-by-step explanation:
Is PS a vertical line, a horizontal line, or neither?
P (-1,0), S (-1,7)
Given:
The two points are P (-1,0) and S (-1,7).
To find:
Whether the line PS is vertical, horizontal or neither.
Solution:
We have, two points P (-1,0) and S (-1,7).
Slope of the line PS is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]
[tex]m=\dfrac{7}{0}[/tex]
[tex]m=\infty[/tex]
We know that the slope of a vertical line is [tex]\infty[/tex].
Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.
which equation has the solutions x equals 1 plus or minus the square root of 5
Answer:
d. x2 – 2x – 4 = 0
Step-by-step explanation:
HELP PLEAse?
Classify the triangle by its sides and angles.
-acute, scalene
-obtuse, scalene.
-acute, equilateral
-obtuse, equilateral
Answer:
acute, equilateral
Step-by-step explanation:
Answer:
Acute, equilateral
Step-by-step explanation:
Angle of 60 is acute and it is an equilateral triangle.
Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.
Answer:
a. Peaches cost more by pound because the line it forms is steeper
b. draw a line that is less steep than the plums and under the plums line
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
2x + 8
2 + 3
7x + 21
.
x +4
Answer:
[tex]60x + 86[/tex]
Step-by-step explanation:
hi, I need to send you a screenshot
My friends and I go to the cinema by bus.
We spend 10 minutes walking and 15
minutes waiting at the bus stops, the
Journeys take 20 minutes each way
we arrive as the film starts. There are
25 minutes of adverts and trailers,
and the film lasts for 95 minutes
We get home at 17:20
What time did we set off to
the car
Answer:
15:35??
Step-by-step explanation:
1. 20 + 15 = 35
2. 35 + 10= 45
3. 45 + 25 = 70 = 1 hour and 10 minutes
4. 95 mins = 1 hour and 45 minutes
5. 1 hour and 10 mins + 1 hour and 45 minutes = 2 hours and 55 minutes
6. 17:20
- 02:55
15:35
15:35
i don't know if this is right but it it does, your welcome.
what is the best math answer ever
Lol you like maths? Honestly, I don't like it much b r u h
Please please help please
Answer:
3 times larger
Step-by-step explanation:
I'm not a hundred percent sure but I'm pretty sure it is.
hope this helped ;)
the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?
Answer: 10 miles
Step-by-step explanation:
Given
The length of the road is 1000 miles
Solve
The length of the map to real=1 : 100Let x be the length on the map1 : 100 = x : 1000 ⇔ Proportion Set Up
100x = 1000 ⇔ Cross Multiply
100x/100 = 1000/100 ⇔ Divide both sides by 100
x=10 ⇔ Simplify
Hope this helps!! :)
Please let me know if you have any questions
Find the value of x
Answer:
hello
Step-by-step explanation:
4x+3x+2x=180⁰
9x=180⁰
x=20
hope it helps
have a nice day
Answer:
x= 20
Step-by-step explanation:
4x+3x+2x=180
9x=180
x=180/9
so
what makes 1/3 x > 12 true
Answer:
I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some
Question 3 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
What is an equation of the line?The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.
Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,
We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,
y-0 = -2-0 / 4-0 (x-0)
y = -1/2(x)
y = -x/2
Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
Learn more about equation of the line, click;
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Estimate the sum by rounding the numbers to the nearest hundred and then adding: 539 + 221
Answer:
700
Step-by-step explanation:
539 rounded to 500
221 rounded to 200
500 plus 200 is 700
Give brain!!!!The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%
What is the area of this figure? (I give brainliest!)
Answer:
726
Step-by-step explanation:
(22*25)+(16*11)=
550+176=
726