Answer:
90%
Step-by-step explanation:
solve for a. 15-a/12=22
Answer:
15-22=a/12
-7=a/12
12(-7)=a
-84=a
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form. Y intercept is -6
Answer:
y = 2/3x-6
Step-by-step explanation:
up 2, right 3
What is the equation to the parallel of 7x-y=8 passing through the point (-2,3)
Answer:
y =7x + 17
Step-by-step explanation:
7x-y=8
y = 7x - 8......convert to slope intercept form
m = 7
parallel lines have the same slope
put in point slope form using the points of the equation of the line that you want to find
y - 3 = 7(x+2)
y -3 = 7x + 14.........distribute
y = 7x +14 + 3.........add 3 to both sides
y = 7x +17................simplify
The answer is not 1465.5. Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by -$2,931 from payments made on her car loan. What is the change is Ms. Thomas' savings account balance each month due to her car payment?
Answer:
$244.25
Step-by-step explanation:
First, the question is asking what the change in her savings account balance is each month. So, you know that you are looking for the amount that is lost each month. When it says that at the end of the year, she has payed $2,931 , what is implied is that she has spent that much over 12 months. So all that is needed to do is divide her balance change over the year by 12 to find the monthly balance change.
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!
Answer:
The nth term = n^2 - 2n - 3.
Step-by-step explanation:
Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c
Example 1
Write down the nth term of this quadratic number sequence.
-3, 8, 23, 42, 65...
Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.
Sequence = -3, 8, 23, 42, 65
1st difference = 11,15,19,23
2nd difference = 4,4,4,4
Step 2: If you divide the second difference by 2, you will get the value of a.
4 ÷ 2 = 2
So the first term of the nth term is 2n²
Step 3: Next, substitute the number 1 to 5 into 2n².
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Differences = -5,0,5,10,15
Now the nth term of these differences (-5,0,5,10,15) is 5n -10.
So b = 5 and c = -10.
Step 5: Write down your final answer in the form an² + bn + c.
2n² + 5n -10
Example 2
Write down the nth term of this quadratic number sequence.
9, 28, 57, 96, 145...
Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.
Sequence = 9, 28, 57, 96, 145...
1st differences = 19,29,39,49
2nd differences = 10,10,10
Step 2: If you divide the second difference by 2, you will get the value of a.
10 ÷ 2 = 5
So the first term of the nth term is 5n²
Step 3: Next, substitute the number 1 to 5 into 5n².
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Differences = 4,8,12,16,20
Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.
Step 5: Write down your final answer in the form an² + bn + c.
5n² + 4n
Solve the inequality, m+15<6 ?
Answer:
m < -9
Step-by-step explanation:
m+15<6
Subtract 15 from each side
m+15-15<6-15
m < -9
Linear or nonlinear:
why?
non-linear because for each value of x you have more than one value of y.
Answer:
nonlinear
Step-by-step explanation:
it is basically the opposite of linear graph
This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line
If I type 800 words in 16 minutes,
how many words do I type per minute
Answer:
50 per minute
Step-by-step explanation:
Answer:
The answer is 50 words per minute
Step-by-step explanation:
16x50=800
800/16=50
HOPE THIS HELPS!!
The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.
Answer:
At 0 hours, there are 100 grams of the substance remaining.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I just did it on ed
PLS HELP WILL MARK BRAINLIEST
[tex]f(a) = -4a +6a^3 - 15 -4a^2 \\\\\text{By the remainder theorem,}\\\\f\left(\dfrac 53 \right) = -4\left(\dfrac 53 \right) + 6 \left( \dfrac 53 \right)^3 - 15 - 4 \left(\dfrac 53 \right)^2 = -5\\\\\\ \text{Hence}~-5~ \text{is the remainder when f(a) is divided by}~ 3a -5[/tex]
[tex]\\ \sf\longmapsto 3a-5=0[/tex]
[tex]\\ \sf\longmapsto 3a=5[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{5}{3}[/tex]
Using remainder theorem
[tex]\\ \sf\longmapsto f(a)=-4a+6a^2-4a^2-15[/tex]
[tex]\\ \sf\longmapsto f\left(\dfrac{5}{3}\right)[/tex]
[tex]\\ \sf\longmapsto -4(5/3)+2a^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(5/3)^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(25/9)-15[/tex]
[tex]\\ \sf\longmapsto -20/3+50/9-15[/tex]
[tex]\\ \sf\longmapsto (-60+50)/9-15[/tex]
[tex]\\ \sf\longmapsto -10/9-15[/tex]
[tex]\\ \sf\longmapsto -10-135/9[/tex]
[tex]\\ \sf\longmapsto -145/9[/tex]
[tex]\\ \sf\longmapsto 16\dfrac{-5}{9}[/tex]
Remainder=-5
Genny's monthly salary was $2000in November. In December she received a 20% raise. In January, what was Genny's monthly salary?
Answer:400
Step-by-step explanation:
10%= 200
x2=400
what is the simplified fractional equivalent of the terminating decimal 0.12?
Answer:
6/50
Step-by-step explanation:
0.12 as a fraction is 6/50.
Answer:
3/25
Step-by-step explanation:
12/100=6/50=3/25 .
1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1
Answer:
1/2 times 4 4/2 2*2/3 4/3
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3xI need the answers to all of them pleaseeee
Answer:
I think it is 43167 but am not really sure
Answer:
HOW DID YOU DO THAT? BECAUSE I CANT DO THAT 3 PIC
How many solutions are there to the equation below?
5x + 15 = 5(x+4)
Answer:
I think it 2 solution to the problem you can add or multiple
help me too with this one PLEASE
Answer: -___-
Step-by-step explanation:
A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.
The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.
Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.
When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.
Learn more about regression analysis in https://brainly.com/question/1305938
Help I need help ASAP
Need only #6 done (Show work) will give brainliest
Answer:
See belowStep-by-step explanation:
Statements | Reasons
C is the midpoint of AB | Given
AC = 2x + 1 | Given
CB = 3x - 4 | Given
AC = CB | Definition of midpoint
2x + 1 = 3x - 4 | Substitution property
3x - 2x = 1 + 4 | Addition property of equality
x = 5 | Proved
The line is as below:
A-----------------C----------------B
2x + 1 3x - 4
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer: 89 cm^2/minute
Step-by-step explanation:
Initial Area: 11 x 5 = 55 cm^2
Area after 1 minute: 18 x 8 = 144 cm^2
The area of the triangle is increasing by
Solve.
1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answer:
x = 42/5 is the answer to this question
Option B is correct, the solution to the equation is x = 42/5.
The given equation is 1/3(x + 3/5) = 3.
We have to solve for x:
x is the variable in the equation.
Multiply both sides by 3 to get rid of the fraction:
1/3(x + 3/5) × 3 = 3 × 3
(x + 3/5) = 9
Subtract 3/5 from both sides to isolate the x term:
(x + 3/5) - 3/5 = 9 - 3/5
x = 9 - 3/5
Now, to combine the terms on the right side:
x = 45/5 - 3/5
x = 42/5
Therefore, the solution to the equation is x = 42/5.
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Colin invests £980 into his bank account. He receiv 0.3% per year simple interest. How
much will Colin have after 7 years? Give your answer to the nearest penny where appropriate.
Answer: 1,000.77
Step-by-step explanation:
After 1 year: 980 + 0.3% = 982.94
After 2 years: 982.94 + 0.3% = 985.89
After 3 years: 985.89 + 0.3% = 988.85
After 4 years: 988.85 + 0.3% = 991.82
After 5 years: 991.82 + 0.3% = 994.80
After 6 years: 994.80 + 0.3% = 997.78
After 7 years: 997.78 + 0.3% = 1,000.77
Brainliest?
What 5,727 dived by 83
Answer:
415
____
727
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Answer:
1 1/3
Step-by-step explanation:
it's bc the number is closer to one and not in the middle. have a great day
Answer:
The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.
:)
if p(x)=x^2+x+1 and q(x)=3x^2-1, find p(7)
Answer:
p(7) = 57
Step-by-step explanation:
Because this is a function, all you have to do is input 7 for x like so:
p(x)=x^2+x+1 ---------------> p(7)=7^2+7+1
so 49 + 8
= 57
FIND THE ERROR Fern is finding the slope of the line that passes through (-2, 8) and (4. 6). Determine in which step she made an error. Ex
Answer:
Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.
Step-by-step explanation:
Fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept
Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).
In order to find the slope of the line, the following formula is used -
m = (y₂ - y₁)/(x₂ - x₁)
So, the slope of the line passing through the given points can be calculated using the following steps -
m = (6 - 8)/{4 -(-2)} ..[1]
m = -2/6
m = -1/3
Fern made mistake in writing equation [1]. She should have written
{4 -(-2)} in the denominator in place of {-2 - 4}
Therefore, fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
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10+ Points)
Which is the graph of a proportional relationship?
Answer:
A
Step-by-step explanation:
The graph representing a proportional relationship is a straight line graph passing through the origin.
This is shown in graph A
In a standard deck of 52 playing cards, 13 cards are clubs, and 3 of the clubs are "face" cards (K, Q, J). What is the probability of drawing one card that is:
A) A club or a face card? Is this event a union or an intersection?
B) A club and a face card? Is this event a union or an intersection?
C) Not a club and not a face card?
A) This event is a union. If a card is of the suit of clubs or a face card or both, then it belongs to the set of "cards with clubs or a face".
For the probability in question, we use the inclusion/exclusion principle:
P(club or face) = P(club) + P(face) - P(club and face)
That is, we add the probabilities of drawing a club and of drawing a face card, and subtract the probability of both conditions being met because, in a certain sense, we've double-counted the event of the card being both of clubs and a face. The sets "club" and "face" are not disjoint; there is overlap between them.
Then we have
P(club) = 13/52
P(face) = 12/52
P(club and face) = 3/52
so that
P(club or face) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26
B) This event is an intersection. If a card is of the suit of clubs and a face card, then it belongs to both the set of clubs and the set of face cards.
We already found the probability of the intersection above:
P(club and face) = 3/52
C) If a given card is not a club and not a face card, this is the same as saying the card is neither a club nor a face card. In other words,
P(not club and not face) = P(not(club or face))
and this probability is complementary to the probability that a card is either a club or face, which is to say
P(not(club or face)) = 1 - P(club or face)
Using the result from part (A), we have
P(not club and not face) = 1 - 11/26 = (26 - 11)/26 = 15/26