Answer:
y=-2x+19
Step-by-step explanation:
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Now we have,
m= 3-7/8-6
m=-2. Since m=-2, the equation is y=-2x+b.
To find b, think about what your (x,y) points mean:
(6,7). When x of the line is 6, y of the line must be 7.
(8,3). When x of the line is 8, y of the line must be 3.
Substitute them to the equation y=-2x+b.
You can use either (x,y) point you want..the answer will be the same:
(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.
(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.
So, the equation of the line that passes through the points
(6,7) and (8,3) is y=-2x+19.
last month kiera ran 22 more miles than bianca did if they ran a combined total of 86 miles how many miles did bianca run
Answer:
54 miles
Step-by-step explanation:
86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles
Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.
Let x = miles Bianca ran
x + 22 = miles Kiera ran
combined total of their miles is 86 miles
x + (x + 22) = 86
solving for x
2x + 22 = 86
2x = 86 - 22
2x = 64
x = 64 / 2
x = 32
therefore, Bianca ran for 32 miles.
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Which expression is a difference of cubes?
Answer:
[tex](x-y)(x^2+xy++y^2)[/tex]
Step-by-step explanation:
[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]
Answer:
It would be D
Step-by-step explanation:
Got it right on Edge 2021
A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.
Answer:
8 meters
Step-by-step explanation:
This means that the shadows at this time is twice as tall as normal.
4*2=8
Luka's shadow is 8 meters tall.
What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
fine the exact rationalized value of sin(25π/6)
game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )
Answer:
Winners:Losers
2:9
Step-by-step explanation:
Winners:Losers
6:27
[÷3]
2:9
Answer:
Ratio 2:9
Step-by-step explanation:
For every 27 winner there are 6 people who win
For every 6 people who win 27 people do not win
So the ratio is 6:27 This can be simplified by dividing by 3
Ratio 2:9
Can anyone help?
The question says to expand and simplify it but i dont know how.
Answer:
3x+14
Step-by-step explanation:
remove parenthses
6x+8-3x+6
3x+14
Answer:
3x+14
Step-by-step explanation:
2(3x+4)-3(x-2)
6x+8-3x+6
3x+14
Find the 39th term of the following sequence. 17,11, 5, -1
Answer:
-330
Step-by-step explanation:
a39= 17+ (39-1) * -6
17+ 38 = 55
55*-6 = -330
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?
Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China = [tex]\dfrac38x[/tex]
Dishes from Japan = [tex]12.5\% \text{ of }x= 0.125x[/tex]
Total dishes from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]
Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]
Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]
Hence, dishes from other countries = 50%
Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33
Step-by-step explanation:
[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]
This is the original equation so you will open the brackets.
[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]
The x will cross the division sign making it times x.
[tex]3 {x}^{2} - 9x \times x = 3[/tex]
So you will proceed to multiply the 9x by x making it;
[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]
So you will subtract 9x² from 3x² which won't be possible so it will be negative.
[tex] - 6 {x}^{2} = 3 [/tex]
Then you will square root both sides making it;
[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]
So the ² will cancel the √ leaving
-6x=√3
-6x=1.73(Divide both sides by -6)
x=0.288
That's the final answer.
help plz it due today
Answer:
Point A - 1/2 and - 1/4
Point B - 2 1/2 and 1 1/2
Point C 1/4 and 1/2
Step-by-step explanation:
riddle
What runs around the whole yard without moving?
Answer:
a yard stick, maybe I'm right
Answer:
a fence
Step-by-step explanation:
HAHAHA LOL
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left
Answer:
3 gallons
Step-by-step explanation:
2 - 1 + 2 = 3
Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5
Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.
The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
As per the question, the given data will be:
p = $2000
r = 13%
t = 1 year
To calculate the amount in the account at the end of 1 year.
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 2000(1 + 13/100)¹
A = 2000(1 + 0.13)¹
A = 2000(1.13)
A = $2260
To calculate the amount in the account at the end of 2 years.
A = 2000(1 + 13/100)²
A = 2000(1 + 0.13)²
A = 2000(1.13)²
A = $2553.8
Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
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HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63
Answer:
B. X = 76, y = 63, z = 104
Step-by-step explanation:
46+58+x=180
104+x=180
x=180-104
x=76
Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
What is the value of c?
1. A local pizzeria sold 65 pizzas yesterday.
(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
Answer:
Part 1
Pizzas sold last day = 65
Increasement needed in sale = 20%
pIzzas to be sold today
= 65 + 20% of 65
= 65 + 20/100 × 65
= 65 + 1/5 × 65
= 65 + 1/1 × 13
= 65 + 13
= 78
Part 2
Pizzas sold last day = 65
Pizzas sold today = 60
60 = 65 + x% of 65
60 = 65 + x/100 × 65
60 - 65 = x/20 × 13
- 5 = x/20 × 13
-5/13 = x/20
-5/13 × 20 = x
-7.692 = x
Therefore, there was a decrease in pizza sale by 7.692%
By rounding off,
The decrease in pizza sale was by 7.700%.
= 7.7%
Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.
Answer:
Not directly proportional
Oh and can you give me brainliest
If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.
Answer:
Step-by-step explanation:
First, solve for each function separately:
F(5)=52+4(5)F(5)=25+20⇒F(5)=45
G(6)=2(6)+2G(6)=12+2⇒G(6)=1
Now, let's add our solutions together:
F(5)+G(6)=45+14=59
Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Answer:
There were 250 hamburgers sold on Saturday.
Step-by-step explanation:
∵ A local hamburger shop sold a combined total of 555 hamburgers
and cheeseburgers on Saturday
→ Assume that the shop sold x hamburgers
∵ The shop sold x hamburgers
∵ There were 55 more cheeseburgers sold than hamburgers
→ That means the number of cheeseburgers is greater than the
number of hamburger by 55
∴ The shop sold x + 55 cheeseburgers
∵ The shop sold 555 burgers
→ Add the two types of burgers and equate the sum by 555
∴ x + x + 55 = 555
∴ 2x + 55 = 555
→ Subtract 55 from both sides
∴ 2x + 55 - 55 = 555 - 55
∴ 2x = 500
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]
∴ x = 250
∵ x represents the number of hamburgers
∴ There were 250 hamburgers sold on Saturday.
I need help :( this is like super hard I dont know what the anser is
Answer:
c
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
B. 1/4
Step-by-step explanation:
4 divided by 16 is 0.25 which is 1/4
Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x
Answer:
7.99
General Formulas and Concepts:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
x² + 3x
x = 1.7
Step 2: Solve
Substitute: 1.7² + 3(1.7)Exponents: 2.89 + 3(1.7)Multiply: 2.89 + 5.1Add: 7.99There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer
Answer:
Nate's MP3 has 20 hours of memory.
Step-by-step explanation:
1. multiply 9.4 times 100
2. divide that by 47
3. you get your answer of 20 hours