Answer:
y=4x-4
Step-by-step explanation:
Hi there!
we are given that a line has a slope of 4 and it contains the point (4, 12)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope, we can immediately substitute it into the formula.
Replace m with 4 in y=mx+b:
y=4x+b
Now we need to find b
As the equation passes through the point (4, 12), we can use it to help solve for b
Substitute 4 as x and 12 as y:
12 = 4(4) + b
Multiply
12 = 16 + b
Subtract 16 from both sides
-4 = b
Substitute -4 as b
y = 4x - 4
Hope this helps!
Topic: Finding the equation of the line
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a student takes out an emergency loan for tuition, books, and supplies. The loan is for $900 with an interest rate of 8%. How much is does the season pay if the loan is paid back in 60 days?
NO LINKS.
$912
simple interest = Principal * Rate * Time (in years)Here given:
principal: $900rate: 8%time: 60 days = 60/360 = 1/6 years [ 1 years = 360 days ]So, simple interest:
900 * 8% * 1/6900 * 8/100 * 1/6$12Pays back: $900 + $12 = $912 back.
Answer:
$911.84
Step-by-step explanation:
Formula
[tex]\sf A=P\left(1+\dfrac{rt}{n}\right)[/tex]
where:
A = amountP = principalr = interest rate (decimal form)t = termn = number of units of term per yearGiven:
P = $900r = 8% = 0.08t = 60n = 365[tex]\implies \sf A=900\left(1+\dfrac{0.08 \times 60}{365}\right)[/tex]
[tex]\implies \sf A= \$911.84\: \textsf{(nearest cent)}[/tex]
Which of the graph below shows how Mary’s money will grow in each bank ?
( please help me )
And no links aloud ….
$2000 should be invested into checking with interest rate 3% and savings account with interest rate 5% so that the total interest will be $84. How much should be invested into each account?
Answer:
$800 at 3%, $1,200 at 5%
Step-by-step explanation:
[tex].03x - .05(2000 - x) = 84[/tex]
[tex]100 - .02x = 84[/tex]
[tex].02x = 16[/tex]
[tex]x = 800[/tex]
[tex]2000 - x = 1200[/tex]
What value of x makes this equation true? -24 = 6 + x
Answer:
x = -30
Step-by-step explanation:
-24 = 6 + x
we'll subtract 6 to get x alone:
-24 - 6 = x
-30 = x
____________
then to check, we plug it back in
-24 = 6 + (-30)
-24 = -24 true! so -30 is right :)
Answer:
-30
Step-by-step explanation:
You can backtrack to find x:
-24-6=-36
-30+6=-24
An ice cream truck was parked near a beach, and some kids ran to it and formed a line. Then, more kids joined the line by filling in each empty space between the kids in the original line. This happened two more times before the ice cream truck driver finally came back from his lunch break, and there were 49 kids in line. How many kids were in the first line?
Answer:
7
Step-by-step explanation:
So, we know that this process happened 3 times in total. The original amount of kids we can call x, so the next wave filled in the gaps inbetween, so we call that amount x-1, the next wave would be (x+x-1)-1 or 2x-2, and the last would be 4x-4
adding this all up we get 8x-7=49, so 8x = 56 or x = 7
HELPP! ASAP PLS!! Find the surface area of the composite solid. Leave your answer in exact terms.
Answer:
Step-by-step explanation:
First find the surface area of the clyinder and find the area circles and subtract
Then find the surface area of a cone, remove the circle area and double it.
Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
251.32741 - 50.2 - 50.2
Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734
113.09734 - 50.2 - 50.2
Total: 12.69734 + 150.92741 = 163.62475
Tina poured 2/3 of the juice from a 2 litter bottle while serving guests at a banquet. How many juice, in liters, is still left in the bottle?
1.3333l
hope it helps...!!!
Prove or disprove that the point lies on the circle centered at the origin
Answer:
Step-by-step explanation:
Any polygon can be the base of a prism?
A. True
B. False
Answer:
the answer is true
Step-by-step explanation:
any polygon is based on a prism so the answer will always be true no matter what polygon. pls mark me brainliest i need it. hope this helped.
Between which 2 numbers on a number line will √20 be found?
A. 2 and 3
B. 3 and 4
C. 4 and 5
D. 5 and 6
E. 6 and 7
Answer:
C.
Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.
What is the cost of six filters if eight filters cost $39.94
Answer:
29.95
Step-by-step explanation:
You need to divide 39.94 by 8 to find the value of each filter and then multiply the cost of one by 6.
how do I find measure of center on a right skewed distribution?
a compound inequality may have the inequality symbols going in opposite directions
TRUE OR FALSE?
Answer:
False
Step-by-step explanation:
There's no such thing like that
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
8.9
Step by Step Explanation:
[tex]x =6 \: { \tan} \: 56 \degree \\ \\ \implies \: x = 8.8953658111\\ \\ \implies \: x \approx 8.9[/tex]
Question 1 of 15 What is the solution to this equation? X-9 = 5 A. x = -4 OB. X= 14 OC. x = 4 O D. x = -14
Answer:
B. x = 14
Step-by-step explanation:
1. Add 9 to both sides of the equation
x - 9+9 = 5+9
x = 14
hope this helps :)
solve the system by elimination 4x-y=2 and x+3y=7
Answer:
x=1 y=2
Step-by-step explanation:
Isolate x for 4x -y=2: X=2+y/4
Substitute x= 2+y/4
(2+y/4 )+3y=7
simplify 2+13y/4=7
Isolate y for 2+13y/4=7
y=2
Forx= 2+y/4
Substitute y = 2
x= 2+2/4
Simplify
X=1
would the sequence 5,11,18,26 be arithmetic/ geometric or neither
arithmetic: common difference
geo: common ratio
neither: how if the pattern obtain ?
Answer:
Neither: The pattern is (1/2)n^2 + 4.5n
Step-by-step explanation:
You can use quadratic regression to figure it out
The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random. Given that the stamp chosen is from the 20th century, what is the probability it is British?
The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
We have:
f = 100 stamps in the collection
A = stamps in the 20th century
B = British stamps
We can make a linear equation to solve for x as the total stamps are 100 in the collection.
[tex]\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0[/tex]
After solving x = 9.88, or x = -6.88
Probability can't be negative so neglecting the negative ones
x = 9.88
The probability that it is British:
[tex]=\rm \frac{x +2x + 32}{100}[/tex]
[tex]=\rm \frac{9.88 +2(9.88) + 32}{100}[/tex]
= 61.64/100
= 0.6164
Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.
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Write an equation to
match each graph.
Answer:
I'm sorry but you will have to add a pic
Lucy is counting by 2s. She starts with the number 2 and stops at the number 50.
Which number would Lucy not count?
A 11
B 22
C 34
D 48
The number which Lucy did not count is A = 11
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Lucy is counting by 2s, starting with 2, which means that she is counting all even numbers between 2 and 50.
To find the number that Lucy would not count, we need to find the odd number between 2 and 50.
On simplifying the equation , we get
The odd numbers between 2 and 50 are: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.
Hence , Lucy would not count the even number that corresponds to the odd number 11
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Leave your answers in surd form. Tables or calculators are not allowed in this exercise. Find the lengths of the sides marked with letters in each of the following diagrams. All dimensions are in cm.
This is a special triangle.
the two bases are always equal, so a is also 12. To get to the hypotenuse, you must multiply either side by rad2.
a= 12
b= 12rad2
comment if you have any more questions
what is 1/4 + 2/3 with the common denominator of 12
Answer:
11/12
Step-by-step explanation:
8/12 + 3/12 = 11/12
Answer:
11/12 is the answer
1/4 + 2/3 = 11/12
At a company a copy machine prints 175 pages in 5 minutes if the number of pages printed is proportional to the time in minutes what is the unit rate?
If the copy machine prints 175 pages in 5 minutes and the number of pages printed is proportional to the time in minutes , the unit rate is 35 pages per minute.
What is division?Division is the process of determining the quotient of a number. It is the process of grouping a number into equal parts using another number.
What is the unit rate?The unit rate can be determined by dividing 175 by 5
Unit rate = 175/5 = 35 pages per minute.
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Answer use div it. Is 35
Step-by-step explanation:
I can’t comment on anything on brainly. I think I’ve been banned forever
Answer:
Thats fun try on this one
Step-by-step explanation:
Brainlyist?
14 to the -3 power times 14 to the 12 power using a single, positive component
Answer:
14⁹Step-by-step explanation:
14⁻³ · 14¹² = 14⁻³ ⁺ ¹² = 14⁹
Used:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12
Answer:
D
Step-by-step explanation:
6x2 is 12
8x2 is 16
12x2 is 24
the scale factor is x2
There are 7 animals in the barn. Some are chickens and some are oxen. There are 20 legs in all. How many of each animal are there? (Please show all work)
Answer:
4 Chickens, 3 Oxen
Step-by-step explanation:
Given:
7 animals20 legs totalKnown:
Chickens have 2 legs Oxens have 4 legsSolution:
4 Chickens have a total of 8 legs (2 + 2 + 2 + 2)3 Oxen have a total of 12 legs (4 + 4 + 4)There are a total of 20 legs in total between the chickens and oxens.What is the answrs for number 9, with proof
Answer:
1. 30
2. 34
Step-by-step explanation:
2(4(3) + 3)
2(12 + 3)
2(15)
= 30
12(3) - 2
36 - 2
= 34
hope this helps :)
Here are the heights (in inches) of 8 students in a seminar.
63, 69, 60, 66, 70, 59, 64, 67
What is the percentage of these students who are shorter than 65 inches'
Answer:
50%
Step-by-step explanation:
there are 8 students and 4 are shorter than 65 inches.
So 4 divided by 8 = 0.5 or 50%
In a village, 80% of the houses have straw roofs
and 34% of the houses have no electricity. A
quarter of the houses with straw roofs has no
electricity: What percentage of the houses has
nelther straw roofs nor electricity? 5 marks
Answer:
20%
Step-by-step explanation: