Answer:
y = -2x + 6
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
So we are given a point, (1, 4), and a slope, -2, and we are asked to write the information into slope-intercept form. To write something directly into slope-intercept form, we need the y-intercept and the slope. Here, we are given a point, that is not the y-intercept, and a slope.
Instead of plugging for m and b in the equation for slope-intercept form, we can write the equation in point-slope form and then solve for slope-intercept form.
Point-slope form is:
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) is a point.
Lets plug in (1, 4) for (x₁, y₁) and -2 for m.
y - 4 = -2(x - 1)
Now lets solve for slope-intercept form. Distribute the -2 on the right side.
y - 4 = -2x + 2
Add 4 to both sides.
y = -2x + 6
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
Mr. Allen has 2 dogs, Spike and Fido. He takes both of them outside at 6:00 a.m. He takes Spike outside every 3 hours. He takes Fido outside every 5 hours. When is the next time Mr. Allen will take both dogs outside at the same time?
Answer:
3 pm
Step-by-step explanation:
Because 3x5 = 15 and 5x3=15 so it would be at 3 pm
Answer:
Step-by-step explanation:
Spike gets taken out every 3 hrs meaning he gets taken out at :
6am
9am
12am
3pm
6pm
9pm
Fido gets taken out every 5 hours.
6am
11am
4pm
9pm
Therefore at 9pm, both dogs would get taken out
Express the ratio as a fraction in simplest form.
7 kilograms to 400 grams
Answer:
35:2
Step-by-step explanation:
7000 and 400 are each multiples of 100. 7000÷100=70
400÷100=4
70/4 is left
divide each by 2 as it is the only number that can go both in to 70 and 4
Round 34,330 to the nearest thousand
Answer:30,000
Step-by-step explanation:
5 or more is greater 4 or you give it a rest
A vehicle uses 2.3 gallons of gas when driven 48.3 miles. . How many miles can the vehicle go if it uses only 1 gallon of gas?
The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Correct: Your answer is correct.
ft
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
(c) How long is the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
Step-by-step explanation:
C is the answer of your question
The heart rates in beats per minute for runners who walk briskly on a treadmill for 6 minutes follow a Normal distribution with a mean of 104 and standard deviation of 12.5. What percent of the runners have heart rates above 140?
Answer:
0.2%
Step-by-step explanation:
We apply the z score formula.
This is given as:
Z score = x - μ/σ
x = Raw score = 140
μ = Population mean = 104
σ = Standard deviation = 12.5
z = 140 - 104/12.5
z = 2.88
Probability value from Z-Table:
P(x<140) = 0.99801
P(x>140) = 1 - P(x<140)
= 1 - 0.99801
= 0.0019884
Approximately = 0.0020
Converting to percent = 0.2%
Therefore, percent of the runners have heart rates above 140 is 0.2%
Can someone help me figure this out!!!
Answer:
Basic Concept used:
Since D is the mid-point of EF,
ED will be equal to DF since D is in the middle of the line segment
We are given the following values for ED and DF
ED = 4x + 6 and DF = 7x - 9
Solving for x:
Since ED = DF (D is the mid point)
4x + 6 = 7x - 9
9 + 6 = 7x - 4x
15 = 3x
x = 5
Finding the values of ED , DF and EF:
we know that x = 5 (from the last section)
we are given the following values of the line segments:
ED = 4x + 6
DF = 7x - 9
EF (ED + DF) = (4x + 6) + (7x - 9)
Replacing x with 5 in each of these equations:
ED = 4(5) + 5 = 26
DF = 7(5) - 9 = 26
EF = (4(5) + 6) + (7(5)-9) = 26 + 26 = 52
an expression equivalent to –8(2s–5)–4
Answer:
The answer:-16s+40-4
Answer:
-4 x (4s - 9)
Step-by-step explanation:
"Six more than a number doubled is equal to twice a
number plus three"
Given parameters:
This is a word problem. To solve problems, it is best to interpret sentence by sentence;
Six more than a number doubled;
let the number = y ;
so we have 2(y + 6)
equal =
twice a number plus three;
let the number be Z;
2Z + 3
The complete expression is thus; 2(y + 6) = 2Z + 3
which set of numbers are equivalent
0.32 , 32% , 1/32
0.45 , 50% ,49/50
0.30, 30% , 30/300
0.15 , 15% , 30/200
i will give you 40 pionts
What’s the rule it’s algebra 1
Answer:
An algebraic rule is a mathematical expression that relates two variables and is written in the form of an equation. There are many constant algebraic rules, such as area = length x width. You can also create your own rule when given a set of variables
Step-by-step explanation:
It takes 12.5g of kool-aid powder to make 5 liters of juice. How many grams of powder will it take to make 20.5 liters of juice? pls answer quick its due in 15 mins
Answer:
8.2
Step-by-step explanation:
Sorry man, A bit late : l but here it is anyways...
12.5g of kool-aid power can make 5 liters of juice.
20.5g liters of juice can make ? liters of juice.
Think of it as a ratio!
12.5:5 and 20.5:?
what times what equals to what?
12.5/2.5=5 SO, you do 20.5/2.5= 8.2
That's your answer! Hope you get it right!
Answer:
51.25 grams
Step-by-step explanation:
Alright so, in this question you need to figure out what is the amount for 1 liter. We can figure this out by doing 12.5 ÷ 5.
That equals to 2.5 grams. Great, now we have figured out the amount for 1 liter. The next step is pretty self explanatory. We multiple 2.5 grams x 20.5 and that equals to 51.25 grams needed.
Mathamatical explanation:
12.5g ÷ 5L
= 2.5g
2.5g x 20.5L
= 51.25grams
I really hoped this helped you guys.
cy-5=-3d+6y for y. Only on solution
Answer:
This is the answer for your question. I hope it helps you!!!! Pls Mark as the brainliest answer!!!
Step-by-step explanation:
Simplifying
Cy + -5 = -3d + 6y
Reorder the terms:
-5 + yC = -3d + 6y
Solving
-5 + yC = -3d + 6y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
-5 + -6y + yC = -3d + 6y + -6y
Combine like terms: 6y + -6y = 0
-5 + -6y + yC = -3d + 0
-5 + -6y + yC = -3d
Add '5' to each side of the equation.
-5 + -6y + 5 + yC = 5 + -3d
Reorder the terms:
-5 + 5 + -6y + yC = 5 + -3d
Combine like terms: -5 + 5 = 0
0 + -6y + yC = 5 + -3d
-6y + yC = 5 + -3d
Reorder the terms:
-5 + 3d + -6y + yC = 5 + -3d + -5 + 3d
Reorder the terms:
-5 + 3d + -6y + yC = 5 + -5 + -3d + 3d
Combine like terms: 5 + -5 = 0
-5 + 3d + -6y + yC = 0 + -3d + 3d
-5 + 3d + -6y + yC = -3d + 3d
Combine like terms: -3d + 3d = 0
-5 + 3d + -6y + yC = 0
The solution to this equation could not be determined.
Plss help i dont understand :(
What is the distance, d, between the points (2,5/2) and (8/3,1)?
answer in the simplest radical form.
Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Find the equation of the line that passes through the point (-3, -4) and (5, -4)
Answer:
y=-4
Explanation:
you have to use the equation y₂-y₁/x₂-x₁ and what ever answer you get from this equation will be your slope
for every 5 cups of flour in a brownie recipe there are 2 cups of milk, the ratio the ratio for milk to flour is?
Answer:
2:5
Step-by-step explanation:
There are 2 cups of milk and 5 cups of flour per recipe.
Answer:
2:5 or 2 to 5 or 2/5
Step-by-step explanation:
You have to put the number of milk first then flour.hope this helps:)
Alicia has had 16 hints 46 at-bats in her softball games. How many consecutive hits does she need to raise
her batting average to 0.400
Answer:
Step-by-step explanation:
She has to raise 289 bats more
Solve -19x-1=-12x+34
Answer:
x=-5
Step-by-step explanation:
you're welcome
What is the Slope from graph
Answer:
3/4 I'm pretty sure that right
SOMEONE PLS HELP ME W THIS QUESTION ASAP I’LL MARK BRAINLIEST
Answer:
i think it is A the first option
Step-by-step explanation:
Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
HELP ILL GIVE BRAINLIEST HELPPPP
"ect the best answer for the question.
- A polygon that has all sides the same measure and all angles the same measure is called what?
Answer:
Regular Polygon
Step-by-step explanation:
A polygon is a plane (two-dimensional) shape with straight sides.
Examples include triangles, quadrilaterals, pentagons, hexagons, etc.
A polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) is called a Regular Polygon.
In the accompanying diagram, AB, CD, and EF intersect at O. If CD I EF and m ZAOE = 32, find m ZAOF.
In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).
what expression is equivalent to 2
Answer:
4 - 2 = 2
Step-by-step explanation
Conversion Formulas
K = Cº + 273
A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charge every hour, how many hours will the battery last?PLSSSS HURRYY
Answer:
An hour and 45 minutes
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The battery charge left in the phone = 5/8 of its battery
The battery loses every hour = 3/8 of its battery
The number of hours the battery will last if it loses 3/8 of its battery every hour:
= 5/8 ÷3/8
= 5/8 x 8/3
= 5/3
= 1.67 hours
This means,
1 hour = 60 minutes
Multiply 1.67 on both sides.
1.67 hours = 1.67 x 60 minutes
1.67 hours = 100.2 minutes
1.67 hours = 1 hour 40.2 minutes
Thus,
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
Order the numbers from least to greatest:
square root of 81, square root of 72, 9.2, 8.6
Type the correct order of each item (eg. 1, 2, 3, etc):
8.6
9.2
square root of 81
square root of 72
Simplify all the given.
√81 = 9
√72 ≈ 8.5
9.2 = 9.2
8.6 = 8.6
From here, you can just sort it out.
From least to greatest:
1) √72
2) 8.6
3) √81
4) 9.2
A bottle of medication contains 30 mls. After withdrawing 2.25 mls for an injection, how many
mls of medicine remain in the bottle?
Help please
Answer:
27.75 mls
Step-by-step explanation:
30mls - 2.25mls is equal to 27.75mls