Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.
[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]
Step 3: We now need to write the equation of the line in slope-intercept form.
[tex]y = 3x + 9[/tex]
Step 3: Now we convert the above equation from slope-intercept form to standard form.
[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]
Our equation in standard form is: B. -3x + y - 9 = 0.
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
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Adam, Bethany and Charles played a game.
Adam scored 8 more points than Charles.
Bethany scored 5 more points than Adam.
They scored a total of 72 points.
Find the number of points that Adam, Bethany and Charles each scored.
Points scored by Adam, Bethany and Charles are 25, 17 and 30 respectively.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Adam scored 8 more points than Charles,
And Bethany scored 5 more points than Adam.
Also, total score is 72.
Let points scored by Adam is x,
Then point scored by Charles = x-8,
And point scored by Bethany = x+5.
Since, total score = 72
x + x-8 + x+5 = 72
3x - 3 = 72
3x = 75
x = 25
Points scored by Adam is x = 25,
Point scored by Charles = x-8 = 17,
And point scored by Bethany = x+5 = 30.
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please help this is due tomorrow!! (SQUARE ROOTS)
Ill give brainliest!! find the value
√b^6
3√-x^6
3√-y^9
Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2
Answer:
D. About 2700 in^2
Step-by-step explanation:
The area of a circle A = πd²/4 where d = diameter of circle.
A/d² = π/4 = k the proportionality constant.
So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.
So, we have
A₁/d₁² = A₂/d₂²
A₂ = A₁d₂²/d₁²
A₂ = A₁(d₂/d₁)²
substituting the values of the variables, we have
A₂ = 300 in²(60 in/20 in)²
A₂ = 300 in²(3)²
A₂ = 300 in²(9)
A₂ = 2700 in²
So, the area of circle B is about 2700 in²
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
¿Cuál es el volumen de un prisma octagonal cuyo lado de la base es de 2 cm
, apotema de 2.41 cm
y altura de 17 cm
?
Answer:
yes
Step-by-step explanation:
yes yes yes yes yes teehee
Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
Find the center and radius of the circle with the equation:
Answer:
where is the equation? And I will help.
Step-by-step explanation:
Answer:
i cant answer if there is no problome
Step-by-step explanation:
Sandra eats about 2000 calories per day with LaTeX: \frac{1}{4}1 4 of her calories from fat and LaTeX: \frac{1}{5}1 5 from carbohydrates. How many total calories does Sandra get from both fat and carbohydratesSandra eats about 2000 calories per day with LaTeX: \frac{1}{4}1 4 of her calories from fat and LaTeX: \frac{1}{5}1 5 from carbohydrates. How many total calories does Sandra get from both fat and carbohydrates
Answer:
Calories from both fat and carbohydrates = 900 calories/day
Step-by-step explanation:
Number of calories eaten by Sandra per day = 2000 calories/day
Calories from fat = [tex]\frac{1}{4}[/tex] of the total number of calories per day
OR
Calories from fat = [tex]\frac{1}{4}\times 2000 = 500\ calories/day[/tex]
Calories from carbohydrates = [tex]\frac{1}{5}[/tex] of the total number of calories per day
OR
Calories from carbohydrates = [tex]\frac{1}{5}\times 2000 = 400\ calories/day[/tex]
To find the total number of calories from both fat and carbohydrates, we need to add the calories from fat and calories from carbohydrates as calculated above.
Calories from both fat and carbohydrates = Calories from fat + Calories from carbohydrates = 500 + 400 = 900 calories/day
please help! asap! thanks! xoxoxo
Answer:
B
Step-by-step explanation:
Don't know how to type those here so see attachment
Answer:
x = √29
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 2^2 = c^2
25 + 4 = c^2
29 = c^2
√29 = √c^2
√29 = c
x = √29
A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
75
Step-by-step explanation:
The answer is 75 because you have to cross mutiply:
1 3
25 x
3 x 25 is 75
Find 3/7 • 9/10 as a fraction
Answer:
27/70
Step-by-step explanation:
This is simple: First, you multiply the numerators. 3x9 is 27. That is the numerator to your answer.
Next, you multiply the denominators. 7x10 is 70. That's the denominator to the answer.
Put them together and you get 27/70.
Hope I helped!!!
Time (seconds)
2
3
4
5
6
Height (cm)
14
21
28
35
42
Answer:
What do you need done?
Step-by-step explanation:
Quiz 1
Rewrite the fraction as a decimal.
13
10
Report a pro
Answer:
1.3
Step-by-step explanation:
Just divide the top by the bottom.
Answer:
1.3
Step-by-step explanation:
If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.
At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?
Thanks! :)
Answer:
10 pounds of raisins and 10 pounds of peanuts.
Step-by-step explanation:
Let c represent the pounds of chocolate covered raisins.
Let p represent the pounds of peanuts.
We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.
Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:
[tex]1.5c+1.2p[/tex]
This represents the cost given c pounds of raisins and p pounds of peanuts.
Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:
[tex]1.5c+1.2p=1.35(c+p)[/tex]
We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:
[tex]c+p=20[/tex]
We now have the system of equations:
[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]
First, since we know that c+p is 20, we can substitute that into the first equation.
Second, let's subtract p from both side for the second equation to isolate a variable. So:
[tex]c=20-p[/tex]
Let's now substitute this into the first equation:
[tex]1.5(20-p)+1.2p=1.35(20)[/tex]
Distribute:
[tex]30-1.5p+1.2p=27[/tex]
Combine like terms:
[tex]-0.3p+30=27[/tex]
Subtract 30 from both sides:
[tex]-0.3p=-3[/tex]
Divide both sides by -0.3. So, the amount of peanuts needed is:
[tex]p=10[/tex]
10 pounds of peanuts is needed.
This means that 20-10 or 10 pounds of raisins is needed.
Answer:
10 pounds of both raisins and peanuts.
Step-by-step explanation:
how much time will it take for the plane to land?
Answer:
Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes
What is the distance between the points (2, 3) and (5, -4)?
Answer:
7.6158
Step-by-step explanation:
Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.
Answer: Perpendicular
Step-by-step explanation: Took the quiz :)
It costs $7.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost decreases to $5.75 per hour.
How much would it cost to rent a kayak for 6 hours?
Answer:
7.15 times 5 plus 5.75=$41.5
Step-by-step explanation:
Answer:
$41.50
Step-by-step explanation:
Multiply 7.15 by 5. This represents how much it costs for the first 5 hours.Add 5.75 to the product. This is the extra hour with the reduced price.Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?
C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?
Answer:
A. (3/4) : (1/8)
Travis must add 6 cups of sugar to maintain the ratio.
B. Travis must multiply the ratio of all other ingredients by 8.
C. (3/8) : (1/8)
Travis must add 3 cups of blueberries to maintain the ratio.
Step-by-step explanation:
A.
3/4 * 8
24/4
6 cups of sugar to maintain the same ratio.
B. 1/8 turned into 1 so that means it was multiplied by 8
C. 3/8 are blueberries and 1/8 is butter
(3/8) * 8
3
This took a long time to do... reward?
What is the measure of angle x?
A) 65
B) 25
C) 115
D) 125
Answer: 65°
Step-by-step explanation: We are assuming that these lines are ║.
If two parallel lines are cut by a transversal,
then alternate interior angles are congruent.
Since x and 65 lie on alternate side of the transversal and
on the interior of the two lines, we know that x = 65.
F(x) = x^2 - 5x+8, g(x) = x^2-4
Find g(x)-f(x)
Answer Choices:
-5x-4
5x+12
5x-12
-5x-12
Answer:
-5x -12
Step-by-step explanation:
BRAINLIEST PLEASE
PLEASEE HELP I WILL BRAINLISTT Question 2: Given the function defined by y = x^2, which of the following is its average rate of change from x = 2 to x = 10? *
A.5/2
B.2
C.8/3
D.12
12 is its average rate of change from x = 2 to x = 10.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given the function defined by y = x^2
now,
its average rate of change from x = 2 to x = 10,=
=10^2-2^2/10-2
=100-4/8
96/8
=12
Hence, 12 is its average rate of change from x = 2 to x = 10.
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What is the equation of the graphed line written in standard form?
Answer:
C. y = -2/3x -2
Step-by-step explanation:
We know the slope is negative. You can find slope using rise/run. The y-intercept is -2 because the line meets -2 at the y-intercept.
Answer:
The first answer (top)
Step-by-step explanation:
Standard form is ax+by=c
a and b are the coefficients
Take a point from the given line
I chose (0, -2)
Then, plug in the values of x and y
2*0+3*-2=-6
-6=-6
Since it works the standard form of the line is 2x+3y=-6
Yaneev thinks of a number y. He subtracts three from the number, then doubles it. What is the final result, in terms of y?
Answer:
y = 6
Step-by-step explanation:
2(y - 3) = y
2y - 6 = y
y = 6
Hope that works out :)
Anyone understand how to do this??
Answer:
T=-11
Step-by-step explanation:
y2-y1/x2-x1
=t-(-1)/9-10
=t+1/9-10
=t+1/-1
=-11+1/1
=-10/1
=-10
Hope this helps :)
Can someone help me find the measure of each angle in the triangle?
Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
Step-by-step explanation:
Answer-
the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
8.78 + 6.2 show you work
Answer:
14.98
Step-by-step explanation:
1
8.78
6.20
---------
14.98
Answer:
14.98
Step-by-step explanation:
8.78
+6.2
--------
14.98
you want to imagine 6.2 like 6.20
so...
8.78
+6.20
----------
14.98
the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98
hope this helps :)
-16 384, 4096 -1024, 256, -64
Answer:
320
Step-by-step explanation:
i hop it work
Store M sells 5 DVDs for $49. Store S sells 8 DVDs for $59.50. Which store offers the best deal
on DVDs?
hi
5 for 49 means : 49/5 = 9+4/5 = 9.80 each
8 for 59.50 means 59.50/8 ≈ 7.44
second offer is the best deal