Given:
m = 10
The line passes through the point (6,2).
To find:
The equation of line in the standard form.
Solution:
If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (6,2) and m = 10. So, the equation of line is
[tex]y-2=10(x-6)[/tex]
[tex]y-2=10x-60[/tex]
[tex]y-10x=-60+2[/tex]
[tex]-10x+y=-58[/tex]
Therefore, the correct option is A.
solve question >> ( - 3x)^2
Answer:
(-3x)^2 = (-3)^2(x^2)
=9x^2
Let me know if this helps!
1,275÷588 rounded pls i need some help
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
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If x2 - 6x - 16, what are the x-intercepts?
Answer:
(-2, 0) and (8, 0)
Step-by-step explanation:
x2 - 6x - 16 = 0
(x - 8)(x + 2) = 0
x = -2, 8.
A store offers a 30% discount on a clarinet that was marked up by 5% form the original retail price for $405.the sales tax is 9%. What does the clarinet cost?.
Answer:
$324.46
Step-by-step explanation:
$405 × 0.05= $20.25 is how much it is marked up if the original price is $405.
$405 +$ 20.25 = $425.25 is the new total of the clarinet
Now 30 % of $425.25... $425.25×0.30= $127.58 is what 30% is.
You have to subtract th $127.58 from $425.25 to get the discounted price.
$425.25 - $127.58 = $297.67
Next you have to calculate for the 9% and add it to the discounted price.
$297.67 × .09 = $26.79
$297.67 + $26.79= $324.46
$324.46 is the cost of the clarinet.
What is the exponent form? 6 x 6 x 6
A. 6 cubed
B. 6 to the power of 2
C. 6 squared
D. 6 x 3
Answer:
C.6 squared
Step-by-step explanation:
PLEASE ACTUALLY ANSWER!!
Answer:
a) C
b) 4.5[tex]cm^{2}[/tex]
Step-by-step explanation:
Use the formula:
Lh([tex]\frac{1}{2}[/tex])Apply this to triangle A
2(3)÷2Solve.
3=area of Triangle AApply this to triangle B
2(3)÷2Solve.
3=area of Triangle BApply this to Triangle C
3(3)÷2Solve
4.5= area of Triangle CAs you can see, Triangle C has the greatest area.
1. Write the equation of the line passing through the point (-2, 2) that is
parallel to y=-x-5 in slope-intercept form.
creo que quieres decir la suma
si es la suma eso da 2.8
2. 1. Asia's new boat has a cruising speed of 27 miles per hour. At that rate, how long will it take her to travel the 3 miles across Old Hickory Lake?
Answer:Time = 1/9 Hours 0r 0.11111 hours
Step-by-step explanation:
We Know that Speed = Distance / Tim\e
Using the constant rate of the speed given as 27 miles per hour at
Distance = 3miles
Time = Distance / Speed
Time = 3 miles / 27miles per hour = 1/9 hours
Three people take 90 minutes to water a garden. How many minutes would six people take?
minutes
It takes 6 labourers 7 days to complete a job. How many labourers would it take to complete the job in 3 days?
labourers
Answer:14
Step-by-step explanation:
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression. **SHOW THE PROPERTY** 1. 2/5(s + 20) and
2. –6(12 – 8)
Answer:
1. 2/5s + 8
2. -24
Step-by-step explanation:
1.
2/5(s + 20)
(2/5)(s) + (2/5)(20)
2/5s + 8
2.
-6(12 - 8)
(-6)(12) - (-6)(-8)
-72 + 48
-24
help please! im really confused and stuck
The price of gas increases from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?
Answer:
5% increaseeee
Pls help I will give extra points!!
Lin's father is paying for a $20 meal. He has a 30%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal? Just type the number answer (without the dollar sign), and be prepared to explain or
show your reasoning.
Answer:
12.88
Step-by-step explanation:
First you do 20×.30 and get 6 so you subtract 20-6 which equals 14. Then you do 14×.08 and get 1.12 and you subtract that from 14. and you'll get 12.88
What is 7x + 10 = 7x + 10
Answer:
Infinite solitutions
Step-by-step explanation:
The expressions are the exact same, so there are infinite solutions.
Answer:
infinite solutions
Step-by-step explanation:
The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many players will get a popsicle?
Answer:
There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.
Step-by-step explanation:
Its correct on Khan Academy
Find mZWZY.
W
x
(8x - 1)º
(5x + 11)°
Z
Answer:
08.262=)))55668(4738dfrj
what does 2x+2=10 equal to?
Answer:
5x =10
Step-by-step explanation:
Find the rate of change of the function by using two points from the table.
x y
1 15
2 11
3 7
4 3
The rate of change of the function is -4.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).
Consider the two points (1,15) and (2,11).
The rate of change of the function is nothing but the slope of the line passing through the points (1,15) and (2,11) which is:
m = (11 - 15)/(2 -1)
m = -4
Hence, the rate of change of the function is -4.
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Over the seven-year span of babysitting for the Millard's, Carrie's babysitting rate went from $8 per hour to $14 per hour. What is the percent increase? Round to the nearest percent.
Answer: 75%
Step-by-step explanation:
Over the course of seven years, Carrie went from charging the Millards $8 to charging them $14 per hour.
To calculate the percentage increase, use the following formula:
= (New price - Old Price) / Old price * 100%
= (14 - 8) / 8 * 100%
= 6/8 * 100%
= 75%
Carrie's rate went up by 75%.
Carol opened a savings account and deposited 2,650. The account earned 4% interest compounded annually how much money will carol have in her account after 3 years
Answer:
$2968
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
at a local gym you can either pay $90 for a monthly pass then pay for dollars each time you go to the gym or you can pay $13 each time you go with no monthly pass fee if you're going to the gym 17 times in a month which option is better
Answer:1st option
Step-by-step explanation:
Solve x + 10 = 3x + 4 *
Answer:
x= 3 hope it helps thanks
Fiona is typing an essay on her computer. She types 5/8 of a page in 1/2 hour. At this rate, how many pages can Fiona type in 1 hour? Enter the answer as an improper fraction (fraction greater than one).
Answer:
5/4 page
Step-by-step explanation:
5/8 * 2 = 10/8 = 5/4
What's 12/15 closest to 0,1/2 or 1
Answer:
1
Step-by-step explanation:
12/15 can be simplified as 4/5, 4/5 can be rewritten as 8/10, or 80%. 0 is of course 0%, 1/2 is 50%, and 1 is 100%. 80% is closest to 100%, so 12/15 is closest to 1.
Find the vertical distance between the two points !!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The answer will be 7,-3
Step-by-step explanation:
Which set of side would make a right triangle?
A. 8,10,12
B. 5,12,13
C. 4,5,6
D. 5,10,12
Please HELP im so confused
3x-8y=7
2y+16x=15
Answer: x=1, y=-0.5
Step-by-step explanation:
Find the length of BC
Answer:
It would be 123
Step-by-step explanation:
5.
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.195 meter tall?
A. h(d) = 12d + 0.5; 1.3 days
B. h(d) = 0.5d +12; 15 days
C. h(d) = 0.5d; 39 days
D. h(d) = d/0.5 = 12; 4 days
Answer:
B. h(d) = 0.5d +12; 15 days
Step-by-step explanation:
here they want to write an equation to describe the growth of the plant. set y = height of the plant (in cm). set x = days (since planting). the plant was planted on day 0 (x=0). We know that the plant was 12 cm tall when it was first planted, so we know that y(0) = 12 cm. y(0) just means the value of the equation y when x = 0, or y(x=0), or just y(0). Every day the plant grows .5 cm so we know the value of y will increase at .5cm for every x days, or .5x. Add the initial value of y (where x=0) and you have the equation y = 12 + .5x (in cm). usually we write equations in meters and not cm, so you can change it to y = .12 +.005x (in meters).
now just set your equation equal to .185 meters and solve for x
.185 = .12 + .005x
.065 = .005x
x = 13 days
Answer
(a) Find out the a rule to describe the function.
To prove
Let us assume that the days be represted by d .
Let us assume that the height of plant be represted by y.
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
Than the function becomes
y = 12 + 0.5 × d
y = 12 + 0.5d
(b) Find out after how many days will the zucchini plant be 0.195 meter tall .
To prove
Let us assume that the days be represted by d .
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
As
1meter = 100cm
0.195 meter convert into centimeter.
= 19.5cm
Than the equation becomes
12 + 0.5d = 19.5
0.5d = -12 + 19.5
0.5d = 7.5
d = 15 days
Therefore 15 days will the zucchini plant be 0.195 meter tall .
a) 12 + 0.5d d=day
b) 0.195/0.5=0.39d
Answer:
15 days will the zucchini plant be 0.195 meter tall .
Step-by-step explanation:
(a) Find out the a rule to describe the function.
To prove
Let us assume that the days be represted by d .
Let us assume that the height of plant be represted by y.
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
Than the function becomes
y = 12 + 0.5 × d
y = 12 + 0.5d
(b) Find out after how many days will the zucchini plant be 0.195 meter tall .
To prove
Let us assume that the days be represted by d .
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
As
1meter = 100cm
0.195 meter convert into centimeter.
= 19.5cm
Than the equation becomes
12 + 0.5d = 19.5
0.5d = -12 + 19.5
0.5d = 7.5
d = \frac{7.5}{0.5}
d = 15 days
Therefore 15 days will the zucchini plant be 0.195 meter tall .