Answer: y=4x+3
Step-by-step explanation: First, lets clean this expression up.
y - 2 = 4(x+1)
Multiply 4 times x and 4 x 1.
y-2=4x+1
add 2 to both sides.
Finally, you get y=4x+3.
Remember that 4 is your m (slope), and b (y-intercept). If you were graph this, it would increase to the right. You graph your intercept 3 on the positive y-axis at (0,3) and since your slope is 4x, you go 4 units up and 1 unit to the right and from there, you get the graph of the given equation.
Hope this explanation helps.
Patrick took out a loan for $500 at 4.2% simple interest. If he pays it back in 2 years, how much interest will he have to pay?
Answer:
Simple Interest = $542
Compound Interest = $542.88
Step-by-step explanation:
Given 7x + 2 > 58, which number is not in the solution set?
1) 6
2) 8
3) 10
4) 12

Answer:
option 1
Step-by-step explanation:
7x + 2 > 58 ( subtract 2 from both sides )
7x > 56 ( divide both sides by 7 )
x > 8
So only values greater than 8 are in the solution set
6 is not greater than 8, then is not in the solution set
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30 percent of them are in the 10th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?.
the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.
Given, the members of the junior varsity swim team wear glasses is 55%.
And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.
Let the total no. of members be x.
So, the members of the junior varsity swim team wear glasses (55%),will be
[tex]0.55x[/tex].
The total number of members not wearing glasses, will be
[tex]x - 0.55 x = 0.45 x[/tex].
Now, the no. of members not wearing glasses and in 10th grade will be,
[tex]\frac{0.45x\times30}{100} =0.135x[/tex]
We know that the probability of an event E, P(E) will be,
[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]
So, the probability for no. of members not wearing glasses and in 10th grade will be,
[tex]P(E)=\dfrac{0.135x}{x}[/tex]
[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]
Hence the nearest whole percent of probability is 14%.
For more details on probability follow the link:
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I need help. What is the slope?
Find the quotion 19.00/
16
Answer:
1.1875
Step-by-step explanation:
19.00/16 is =1.1875
asap please
what is the slope of the following line
Its 1/-2, or in other words it is -(1/2), so it would be the third option you have there.
Your welcome! :D
this states that you can multiply the addends of a number and then add the products.
Answer:
Distributive Property
Step-by-step explanation:
This is my best guess because you didn't put the topic or give an more information.
27 subtracted from a number can be written as?
Answer:
example : 100- 27= 73
Step-by-step explanation:
you take a number and then subtract by the number that you were given. I hope this helps!!
Answer:
27 - x (expression that it can be written as)
Please help! If possible please show your work :D Thank you!
Solve.
Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms
4.1 Pull out like factors :
10x + 36 = 2 • (5x + 18)
Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:
5.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 5x+18 = 0
Subtract 18 from both sides of the equation :
5x = -18
Divide both sides of the equation by 5:
x = -18/5 = -3.600
A bank account, initially with $3200, earns interest at a rate of 5.5% compounded monthly. Write an equation for the amount of money in the account at a time,x.
Answer: The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.
Step-by-step explanation:
Help me
22 + 33 - 44 = ?
Answer:
22 + 33 = 55
55 - 44 = 11
hence 11 is the answer
Answer:
11 luv:)
Step-by-step explanation:
2(6)-2x=3
CN someone answer? Use distributive property
Answer:
I think this is what you want:
2(6)-2x=3
We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.
2(6-x)=3
6-x=3/2
-x=-9/2
x=9/2
what do you do to multiplay 100
x 300
Answer: 30000
Step-by-step explanation:
[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]
The button on Jack's pants has a diameter of 8 millimeters. What is the button's circumference?
Use 3.14 for n.
millimeters
.
125 divided by 100 I have to make corrections
Answer:
1.25
Step-by-step explanation:
125/100 = 1.25
Answer:
it's 1.25
Step-by-step explanation:
125 ÷100 = 1.25
If for an A. P d = -4 then t20 - t15 is what?
Step-by-step explanation:
[tex] - 20 \: is \: your \: answer[/tex]
Supposition of Terms in an A.P.(1) Three terms as : a -d, a,a + d .(2) Four terms as : a -3d , a - d , a + d , a + 3d .(3)Five terms as : a -2d , a - d , a , a+ d, a + 2d.To know the solution with Proof
Refer To the above attachment .
Hope this helps you !! Carry on learning!!help? please and thanks
please answer even if there is already 1, last time i asked this i put a lot of points and a bot took them and i dont have time to wait for a second answer. im giving half points this time, 50, and i will give brainliest. dont be a cheapskate fishing for points either, dont answer if ur not gonna try. im sick of people doing that i just need help. its much appreciated if you can.
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
Answer:
The answer would be A
Step-by-step explanation:
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
Calculate the average of the numbers shown22,48,11 ,34,5
Answer:24
Step-by-step explanation:
22+48+11+34+5=120
120/5=24
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
order from greatest to least 55% of 180 30% of 260 12% of 700
Answer: 55% of 180, 12% of 700, and 30% of 260.
Step-by-step explanation:
55% of 180 = 99…
30% of 260 = 78…
and 12% 700 = 84…
Answer:
55% of 180 > 12% of 700 > 30% of 260
Step-by-step explanation:
55% of 180 = 99
30% of 260 = 78
12% of 700 = 84
can someone please help me, i need the help?
Answer:
[tex]f(x)\div g(x)=x-10[/tex]
Step-by-step explanation:
[tex]\frac{x^2-19x+90}{x-9}[/tex]
[tex]\frac{(x-10)(x-9)}{x-9}[/tex]
[tex]x-10[/tex]
Answer:
[tex]f(x)\div g(x)=-10[/tex]
Step-by-step explanation:
Solve [tex]f(x)[/tex]
[tex]f(x)=x^2-19x+90[/tex]
[tex]x^2-19x+90[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]
[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]
[tex]=x(x-9)[/tex]
[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]
[tex]=-10(x-9)[/tex]
[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]
[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]
Solve [tex]g(x)[/tex]
[tex]g(x)=x-9[/tex]
[tex]\bold{x-9}[/tex]
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
Now, solve:
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]
[tex]= -10[/tex]
Therefore, [tex]f(x)\div g(x)=-10[/tex]
53 1/3 in the form 53^n where n is a whole number
Need NOW PLEASE.....
Answer:
8-(-8) = 8+8
8-8 = 8+(-8)
-8-(-8) = -8+8
-8-8 = -8+(-8)
10-9 = 10+(-9)
10-(-9) = 10+9
Step-by-step explanation:
Remember that if the signs are equal +,+ or -,- , they are positive (+)
if the signs are different like +,- or -,+ then they are negative (-)
PLs help me 30 points in total
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
evaluate 5(ax4)+b,
when a=1/3 and b=12
you just need to put the values of a and b where they have to be
.
hope I helped!
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.
Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
https://brainly.com/question/14265399
what is the answer to this problem ( 1/5)² (3+2+5²)
Please help me with this
Answer:
y = 2x
Step-by-step explanation:
A direct proportion follows the equation:
y = kx,'where k is the slope.
We see in the graph the points (0, 0) and (1, 2).
The slope is (2 - 0)/(1 - 0) = 2/1 = 2
The formula is y = 2x.
Answer: y = 2x
Answer:
y=2x
Step-by-step explanation:
When using slope intercept find the slope using either the graph or points on the line and that get you the 2 that in front of x.
the formula means that 2 units of dough are prepared in every hour
The graph shows how many sheets of paper a paper folding machine can fold in a certain number of minutes. Choose one ordered pair on the graph. What does it represent in this situation?
Answer:
(40, 6000) = 6000 sheets folded in 40 minutes
Step-by-step explanation:
Each point on the graph represents ...
(minutes, sheets folded)
The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.