Step-by-step explanation:
4 (4b + 3) + 2b = 3 (b - 11)
16b+12+2b=3b-11
16b+2b-3b=-11-12
15b=-23
b=-23/15
Answer:
Step-by-step explanation:
B= -3
Do 4(4b + 3) first than the answer I get from that equation you
16b + 12 2b= 3(b-11)
Combine like terms
3
Distribute
4
Subtract
1
2
12
12
from both sides of the equation
5
Simplify
6
Subtract
3
3
b
3b
from both sides of the equation
7
Simplify
8
Divide both sides of the equation by the same term
write an equation that models the points (-1,4) and (3,2)
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)=(2-4)/(3- -1)=-2/4=-.5
y=-.5(3)+b, using point (3,2)
2=-1.5+b
b=3.5
y= -.5x+3.5
Hey guys please help!!
Answer:
Yes
Step-by-step explanation:
g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)
(1) × 4
4y = - x + 1
x = - 4y + 1
y = - 4x + 1
f(x) = - 4x + 1
∴ f(x) and g(x) are inverses
Select all that apply.
Which representations show a direct variation?
y = - x
y = 2 x + 3
Input (x) 3 6 9 12 15
Output (y) 4 8 12 16 20
Answer:
Options 1 and 3 are direct variationStep-by-step explanation:
Direct variation is:
y = kxOptions:
1.
y = -x, k = -1, yes2.
y = 2x + 3, not a direct variation, no3.
Try the input/output to determine the direct variation:
4 = 3k k = 4/3Verify the other pairs:
x = 6, y = 6(4/3) = 8x = 9, y = 9(4/3) = 12x = 12, y = 12(4/3) = 16x = 15, y = 15(4/3) = 20This is also a direct variation
4x + y = 14. 5x +2y = 19 solve the simultaneous equation
Answer:
(3, 2 )
Step-by-step explanation:
Given the 2 equations
4x + y = 14 → (1)
5x + 2y = 19 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 8x - 2y = - 28 → (3)
Add (2) and (3) term by term to eliminate y
- 3x + 0 = - 9
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
4(3) + y = 14
12 + y = 14 ( subtract 12 from both sides )
y = 2
solution is (3, 2 )
Step-by-step explanation:
[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]
[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]
[tex] \text{4x + y = 14 - - - - - (i)}[/tex][tex] \text{5x + 2y = 19 \: - - - - - (ii)}[/tex]Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.
[tex] \text{5x + 2y = 19}[/tex]
[tex] \text{ - 8x - 2y = - 28}[/tex]
_____________________
[tex] \text{ - 3x = - 9}[/tex]
Solve for x :
⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]
⤑ [tex] \tt{x = 3}[/tex]
Now , substitute the value of x in equation ( ii ) :
⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]
⟼ [tex] \text{15 + 2y = 19} [/tex]
⟼ [tex] \text{2y = 19 - 15}[/tex]
⟼ [tex] \text{2y = 4}[/tex]
⟼ [tex] \text{y = 2}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day night ! ♡
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The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?
Answer:
The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].
Step-by-step explanation:
Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:
[tex]y \propto x[/tex]
[tex]y = k\cdot x[/tex] (1)
Where [tex]k[/tex] is the proportionality constant.
If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{21}{6}[/tex]
[tex]k = \frac{7}{2}[/tex]
Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].
I'll show a pic of my question
Answer:
Umm I think you forgot to send the pic with this question
Step-by-step explanation:
Hope I can help next time!!!!!!
I need heeeelp please !
gym starts at 1:00 and ends at 2:00 how long is gym?
Answer:
1 hour or 60 minutes
a^n+a^n+1
Factor completely
Whoever gets right answer get brainliest
Answer:
a^n+a^n+1
2a^n+1
1(2a^n+1)
witch is longer distsance 20% of 320 miles of 1/2of 130 you must show your working out
Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]
Step-by-step explanation:
[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]
[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]
clearly, [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]
In the figures, area of triangle ABE is 25 cm2
and area of triangle CED is 30 cm2. Find the
area of triangle BEC and parallelogram ABCD.
Answer:
sorry where is figure.
Step-by-step explanation:
area of triangle ABE=area of triangle BE3
Angela starts a blog about wheelchair basketball. In the first 4 days,
the blog gets 22 new subscribers. At this rate, how many new
subscribers can Angela expect in 30 days? Show your work.
The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?
Answer:
5.2 Minutes, or 5 minutes and 12 seconds
Step-by-step explanation:
You can solve this problem by working backward. Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already. When we do this, we get 4.0. When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.
Lina has five more than seven times as many pictures as photo albums. If she has 75 pictures, how many photo albums does she have?
Answer:
photo albums = x
pictures =75( seven times of albums +5)
so
seven times of x is 7x and +5
7x +5 = 75
7x= 75-5
7x = 70
x=70÷7
x =10
x = 10 = photo albums
under the scale factor of the dilation (with center at the origin )if point U (6,2) becomes U' (12,4) ?
Answer:
im assuming that it it went up 6,2 and prolly has a pattern and that this is just a graph problem
Step-by-step explanation:
Answer:
umm i dont knowe sorry
Step-by-step explanation:
Write the an equation of a line that is perpendicular to y= 1/3x + 5 and intersects it at the y intercept
Answer:
y = -3x + 5
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1.
Slope of the given line M = 1/3
Slope of the required line is m
If product is -1, then;
Mm = -1
1/3 m = -1
m = -3
SInce it intersects at the y intercept, y intercept c = 5
Get the required equation. Substitute m = -3 and c = 5 into the equation
y = mx+c
y = -3x + 5
Hence the required equation of the line is y = -3x + 5
!!!!!Plz help me!!!!!
Help please and please make sure the answer is right please!!!!
Answer:
7
Step-by-step explanation:
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet.
A right triangle with side length 6 feet, s, and hypotenuse 13 feet.
[Not drawn to scale]
What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet
Answer: 11.5 feet
Step-by-step explanation:
We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:
Let the length of Fahims shadow be x
hypotenuse² = opposite² + adjacent ²
13² = 6² + x²
169 = 36 + x²
x² = 169 - 36
x² = 133
x =✓133
x = 11.53
= 11.5 feet to nearest tenth
Answer:
C 11.5
Step-by-step explanation:
Have a great day!
The trapezoids are similar. In the figure below ABCD ~ EFGH. What is the value of x?
Answer:
abcd
Step-by-step explanation:
Rewrite the function by completing the square. f(x)=x^2+16x-46
Answer:
[tex]f(x)=(x+8)^{2}-110[/tex]
Step-by-step explanation:
Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.
[tex]f(x)=x^{2} +16x - 46\\[/tex]
Group;
[tex]f(x)=(x^{2}+16)-46[/tex]
Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;
[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]
Simplify, factor;
[tex]f(x)=(x+8)^{2} - 110[/tex]
Please help!
What is the intial value of the function represented by this graph?
A. 0
B. 1
C. 2
D. 5
Taylor invested $650 in an account paying an interest rate of 2.3% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $880?
Answer:
Step-by-step explanation:
Given that:
Principal = $650
Interest rate, r = 2.3% = 0.023 compounded daily
Time, t it takes for final amount, A to reach $880
Using the relation :
A = P(1 + r/n)^nt
n = number of times compounded per period
Hence, n = 365
880 = 650(1 + 0.023/365)^365t
880/650 = 1.0000630^365t
1.3538461 = 1.0000630^365t
Take the log
0.1315692 = 0.0000273596 * 365t
0.1315692 = 0.0099862t
t = 0.1315692 / 0.0099862
t = 13.175101
t = 13.18 years a
Find x, y and z
82"
54
Answer:
help me pls
Step-by-step explanation:
PLS HELPP I NEED TO TURN IN IN 10 MINUTES
Answer: side CD = CY
Step-by-step explanation:
They are asking for ASA = Angle, Side, Angle. And they already gave you the two angles so they are asking for the side
at the party Adrian will serve each guest 1/8 of a cake he has 3 cake what is the greatest number of guests can Adrian serve
can someone help me out with this problem ?
This graph shows the amount of charge left on my computer, c, after I have been awake for h hours.
How many hours will I have been awake when my computer has no charge left?
Use the sketch tool if it helps you with your thinking.
Based on the graph given above, the hours you will have to be awake when your computer has 0% charge is: 4.5 hours.
How to Interpret a Graph?Analyzing the graph given in the image above, where c represents the amount of charge you have left on your computer, and h represents the number of hours after you have been awake, the graph shows the following:
The unit rate = -30, which means the charge on your computer dropped at 30% per hour.The initial charge on your computer was the y-intercept of the graph, which is 90%.Your computer will have 0% after 4.5 hours that you have been awake (this is the x-intercept of the graph).Therefore, the number of hours you will have been awake for your computer to have no charge left is: 4.5 hours.
Learn more about graph on:
https://brainly.com/question/25184007
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Ben and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?
Answer:
$6
Step-by-step explanation:
B- 3P+2C=$41
C-1P+2C=$29
since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought
12/2=6
since you need to find the price of 1 popcorn you have to divide 12 by 2
Is 8 ÷ 8 positive or negative?
Answer:
positive
Step-by-step explanation:
8÷8=1
..............
Answer:
8 ÷ 8 = 1
Step-by-step explanation:
1 Is positive
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