Answer:
y = [tex]\frac{3}{2}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line
29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd
The perimeter of the triangle is 20.6 centimeters. What is the unknown side length?
Answer:
OK so a triangle has 3 sides and the perimeter around it is 20.6 cm to find the unknown for the length of a side it would be 20.6 ÷3 which is = to 6.86 to 2 decimal places
Step-by-step explanation:
20.6÷3
= 6.86 cm to 2 dp
[tex]2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)[/tex]
can ya'll solve this for me please
Answer:
sorry no
Step-by-step explanation:
At a restaurant the ratio of kids meals sold to adult meals sold was 2:1. If there were 8
kids meals sold, what is the combined amount of kids and adult meals sold?
Answer: 12
Step-by-step explanation:
8/2=4
4x1=4
8+4=12
Answer:
12
Step-by-step explanation:
following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.
8/2 = 4
pls help .................
Answer:
Step-by-step explanation:
I'm guessing at this a bit.
The final score will depend on what is par for each hole and/or for the entire course. The scores for the first four rounds were all negative. That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.
Let P stand for the Par of the course. Then the score for each round would be:
P-3
P-4
P-7, and
P-2
The sum: 4P - 16 is her score for the first four rounds. I have no clue if there are more than 4 rounds, but if there are, the equation would be:
For n rounds:
nP - ∑[tex]x_{n}[/tex]
where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.
A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of1.4 %. how much will the customer earn in 10 years
Answer: they would earn $560
Step-by-step explanation:
10% = 400
1% = 40
0.1% = 4
40+16 = 56*10=560
If you could be so kind to press brainliest on this answer
For this equation: I don't care what the answer is, I need to know how to solve for it. Thanks.
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points)
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
======================================================
Explanation:
Solve the inequality for x.
5x + 4 < 29
5x < 29-4
5x < 25
x < 25/5
x < 5
I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.
Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.
That's why {3, 4} is the final answer.
---------------
An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.
Let's try x = 3
5x + 4 < 29
5(3) + 4 < 29
15+4 < 29
19 < 29
We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.
If we tried x = 5, then,
5x + 4 < 29
5(5) + 4 < 29
25 + 4 < 29
29 < 29
which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.
you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water
Answer: A = 15 + 0.5(w)
Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.
To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula
x to the power of 2 add 3x
Answer:
Hope this helps
Step-by-step explanation:
a) x^2 + 3x = x(x+3)
b) 2x^2 - 8x = 2x(x - 4)
c) 6x + 9x^3 = 3x(2 + 3x^2)
d) 12x^3 - 4x^2 = 4x^2(3x - 1)
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
John solved the inequality 3x – 5 ≥ 28 and determined that x could equal 12. Is John correct? Explain why or why not.
Answer:
John is correct
Step-by-step explanation:
Let's solve the inequality:
[tex]3x-5\geq28[/tex]
[tex]3x\geq33[/tex]
[tex]x\geq11[/tex]
As we can see, the value of x can be either 11 or anything greater than 11. Since 12 is included in that solution set, John is correct.
wait
Step-by-step explanation:
ignore what I just said I was on crack bro
I need help with this without links
Answer:
36°
Step-by-step explanation:
I used an online protractor to solve it
Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?
Scale drawings are used to show an actual image using lesser dimensions.
The width of the actual gym is 72 feet
The scale is given as:
[tex]Scale = 5\ inches : 8\ feet[/tex]
Represent the width of the actual gym with w, so, we have the following equivalent ratio
[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]
Cancel out the common units
[tex]45: w = 5: 8\ feet[/tex]
Express as fraction
[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]
Cross multiply
[tex]5w = 45 \times 8\ feet[/tex]
Divide both sides by 5
[tex]w = 9\times 8\ feet[/tex]
[tex]w = 72\ feet[/tex]
Hence, the width of the actual gym is 72 feet
Read more about scale drawing at:
https://brainly.com/question/14934768
Find the area of the shape shown below.
Answer:
A = 15u²
Step-by-step explanation:
Area of a Trapezoid Formula:
[tex]\frac{h}{2}*(b_1+b_2)[/tex]
Plug in our values (h = 3, b1 = 7, b2 = 3)
[tex]\frac{3}{2}*(7+3)[/tex]
Now we evaluate
[tex]\frac{3}{2}*(10)[/tex]
[tex]\frac{30}{2} = 15[/tex]
Express the followingbin the standard form:
(I) 80000
(ii) 0.00000000094
(iii) 467.5
(iv) 50200000000000
(v) 0.00000005837
(vi) 71860000000
help me!
Thank you in advance
(i)Given number = 8000
=8 × 1000
= 8×10³
The standard form of 8000 is 8×10³
(ii)Given number = 0.00000000094
⇛ 94/100000000000
⇛ 94/10¹¹
On multiplying and dividing with 10 then
⇛ (94/10¹¹)×(10/10)
⇛ (94/10)×(10/10¹¹)
⇛ 9.4 × (1/10¹⁰)
⇛ 9.4/10¹⁰
⇛ 9.4×10^-10
The standard form of 0.00000000094 = 9.4×10^-10
(iii) Given number = 467.5
⇛ 4675/10
On multiplying and dividing with 1000 then
⇛ (4675/10)×(1000/1000)
⇛ (4675/1000)×(1000/10)
⇛ 4.675 × 100
⇛ 4.675×10²
The standard form of 467.5 = 4.675×10²
(iv) Given number = 50200000000000
⇛ 502×100000000000
On multiplying and dividing with 100 then
⇛ (502/100)×100000000000×100
⇛ 5.02 ×10000000000000
⇛5.02 × 10¹³
The standard form of 50200000000000 is
5.02 × 10¹³
(v)Given number = 0.00000005837
⇛ 5837/100000000000
On multiplying and dividing with 1000 then
⇛ (5837/1000)×(1000/100000000000)
⇛ 5.837/100000000
⇛ 5.837/10⁸
⇛ 5.837×10^-8
The standard form of 0.00000005837 is 5.837×10^-8
(vi) Given number = 71860000000
⇛7186×10000000
On multiplying and dividing with 1000 then
⇛ (7186/1000)×10000000×1000
⇛ 7.186×10000000000
⇛ 7.186×10¹⁰
The standard form of 71860000000 is 7.186×10¹⁰
what is the equation of a line that contains points (5,3) and (0, -1)
Answer:
y = [tex]\frac{4}{5}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line
Suppose you want to have $600,000 for retirement in 20 years. Your account earns 9% interest. How much would you need to deposit in the account each month?
A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6. 57 each for two potted begonias and $2. 60 each for three tomato seedlings, how much did you save? a. $3. 83 b. $5. 31 c. $6. 92 d. $9. 6.
Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06
Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:
Discounted cost = Original cost x (1 - Discount)
6.57 = Original x (1 - 27%)
Original = 6.57 / 0.73
Original = $9.00
The savings here are therefore:
= 2 x (9 - 6.57)
= $4.86
The original cost of the Tomato seedlings is:
= 2.60 / ( 1 - 35%)
= $4.00
Savings would be:
= 3 x (4 - 2.60)
= $4.20
Total savings are therefore:
= 4.86 + 4.20
= $9.06
In conclusion, $9.06 was saved.
Find out more on this at https://brainly.com/question/25748983.
BRAINLIEST PLZ ANSWER! IM DESPRATE ;(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
The answer is 4 mph I think-
-5⎜x - 3⎟ - 5 < 15
Pls
−5(|x−3|)−5<15
Step 1: Add 5 to both sides.
−5(|x−3|)−5+5<15+5
−5(|x−3|)<20
Step 2: Divide both sides by -5.
−5(|x−3|)
−5
<
20
−5
|x−3|>−4
Step 3: Solve Absolute Value.
|x−3|>−4
We know eitherx−3>−4orx−3<−(−4)
x−3>−4(Possibility 1)
x−3+3>−4+3(Add 3 to both sides)
x>−1
x−3<−(−4)(Possibility 2)
x−3<4(Simplify both sides of the inequality)
x−3+3<4+3(Add 3 to both sides)
x<7
Answer:
x>−1 or x<7
Bro these admin people!! Lol
Answer:
U should
No u must keep swearing on them lolllll
Step-by-step explanation:
Omg seems kokuladina freeze on fire with swear words.
A relation is plotted as a linear function on the coordinate plane starting at point E at(0, 27)and ending at point F at (5, â’8). What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements. The rate of change for the linear function is Choose. And the initial value is Choose. .
The rate of change of a linear function is the slope of the function.
The rate of change is -7 and the initial value of the function is 27
The points are given as:
[tex]E = (0,27)[/tex]
[tex]F = (5,-8)[/tex]
The slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-8 - 27}{5-0}[/tex]
Rewrite the fraction as:
[tex]m = \frac{- 35}{5}[/tex]
Divide -35 by 5
[tex]m = -7[/tex]
So, the rate of change is -7
The initial value of the function is the value of the function when the input value (i.e. x) is 0.
At point E, we have: [tex]E = (0,27)[/tex]
So, the initial value of the function is 27
Read more about linear functions at:
https://brainly.com/question/15602982
The rate of change for the linear function is -7 and the initial value is 27.
True or False: Collection on account and sale of services for cash are considered cash inflows, while payment on account and payment of salaries are considered cash outflows from operating activities.
Answer:
true
Step-by-step explanation:
make this is helpful for you
A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print
Answer:
Step-by-step explanation:
1. 7$ for Each Shirt 2$ is for the Print $2.50 is the cost of back
1. (7x2x2.50) ---All Multiplication
2. Answer 35.00
Breakdown
$7.00 Mulltiplied by 2 which gives you $14.00
Then you multiply it by $2.50
Which Gives you $35.00
Please solve this equation: 3 + 4 = 21; 2 + 5 = 14; 7 + 7 = 98; 8 + 6 = ?
Answer:
112
Step-by-step explanation:
It appears that the relation is f(a, b) = a(a+b).
f(3, 4) = 3(3+4) = 21
f(2, 5) = 2(2+5) = 14
f(7, 7) = 7(7+7) = 98
f(8, 6) = 8(8+6) = 112
__
The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...
f(a, b) = a(a+b)
the symbol "+" has its usual meaning.
_____
Additional comment
This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.
2. Approximate e?. Round your answer to the nearest tenth
Answer:
1096.6
Step-by-step explanation:
The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.
Answer:
1096.6.
Step-by-step explanation:
e = about 2.7
2.7^7is about 1046
PLEASE NO LINKS AND NO NEGATIVITY!!!
Answer:
-2x + 8
Step-by-step explanation:
32x + 8 - 34x
(32 - 34)x + 8
-2x + 8
-2x + 8
Explanation:-=> 32x + 8 - 34x
=> (32 - 34)x + 8
=> -2x + 8
You need 12 dozen cookies for a bake sale. The original recipe makes 48 cookies (4 dozen). How much of each ingredient will you need?
To make a mixed number, type the whole number, then a space, then the fraction part. Example: Two and one-fourth would be 2 1/4.
Only type whole numbers, fractions or mixed numbers in the boxes below (NO DECIMALS). If it does not exactly match the answer I typed in, it will be marked incorrect. Use the / key by the right-side shift button as the fraction bar.
Ingredients Original Recipe Your Amount
All purpose flour 214 cups
cups
Baking Soda 1 teaspoon
teaspoon
Salt 12 teaspoon
teaspoon
Butter, softened 1 cup
cup
Granulated sugar 34 cup
cup
Brown Sugar 34 cup
cup
Egg(s) 1
Vanilla 1 teaspoon
teaspoon
Semisweet Chocolate Chips 2 cups
cups
What is the constant of proportionality for this situation?
Answer:
So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups
For each question, find the slope and the y-intercept
Answer:
y = mx+b
Slope (m) = -4/5
y-int = 14
Hope that helps
Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential