Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
How many 1/3 cup servings are in a 12-cup container of juice?
Answer:4
Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12
can you guys help me
Answer:
Step-by-step explanation:
X<2
Help me with this question plz!!!
2x - 4=x+6
Answer:
x = 10Step-by-step explanation:
2x - 4 = x + 6 add 4 to both sides
2x - 4 + 4 = x + 6 + 4
2x = x + 10 subtract x from both sides
2x - x = x - x + 10
x = 10
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
CHOICES - SELECT ALL THAT APPLY:
-10
-5
-1
0
1
5
10
SHOW YOUR WORK
Answer:
-10, -1, 5
Step-by-step explanation:
The zeroes of the function are -
x = -10, 5, -1
We have the following function -
f(x) = (x + 10)(x − 5)(x + 1)
We have to determine its zeroes.
Find the Zeroes of thee function -f(x) = (x + a)(x + b)In order to find the zeroes of the function, equate f(x) = 0.
(x + a)(x + b) = 0
(x + a) = 0 or (x + b) = 0
x = - a or x = -b
Zeroes = -a , -b
According to question, we have -
f(x) = (x + 10)(x − 5)(x + 1)
Equate f(x) = 0
(x + 10)(x - 5)(x + 1) = 0
(x + 10) = 0 or (x - 5) = 0 or (x + 1) = 0
x = -10 x = 5 x = -1
Hence, the zeroes of the function are -
x = -10, 5, -1
To solve more questions on Zeroes of function, visit the link below -
https://brainly.com/question/12492261
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: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?
Answer:
She worked 12 hours as a babysitter and hours 6 as a hostess
Step-by-step explanation:
She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105 we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]
use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4)
Answer:
See Below
Step-by-step explanation:
A) 3/2
B) 1
C) -1
Using the slope formula, and plugging-in values
We want to find the slopes of different lines, given that we know two points on each line.
We will get:
a) 3/2
b) 1
c) -1
Now let's see how to find the slopes.
We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using that equation we can find the slopes for this problem.
a) (1, 6) and (-3,0)
The slope will be:
[tex]a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}[/tex]
b) (7,2) and (0,-5)
The slope will be:
[tex]a = \frac{2 - (-5)}{7 - 0} = 1[/tex]
c) (-7,-3) and (-6,-4)
The slope will be:
[tex]a = \frac{-3 - (-4)}{-7 - (-6)} = -1[/tex]
If you want to learn more, you can read:
https://brainly.com/question/16180119
find the value of:
Answer:
the value is 6
Step-by-step explanation:
substitue
ft. = 4.8 yd.
How many feet is it
How to find LCM by division method
look it dinometer of last two numbers at the down and cross multiple them by the lcm
Jose traveled 315 miles in 7 hours. Based on this rate, how many miles did Jose travel in one hour? Do not include units.
Answer:
45
State your explanation below:
Answer:
45
Step-by-step explanation:
315/7=45
Suppose you discover that your growth fund, income fund, and money market fund return
rates are better estimated at 12%, 6%, and 3% per year respectively. How should you invest
the $3200 to get a retum of $255 in one year?
Answer:−3+3=−4
2+3−=15
4−3−=19
2 3
Step 1: Pair the equations to eliminate y because the y terms are already additive inverses
1
−3+3=−4
2+3−=15
2
2+3−=15
4−3−=19
2 3 4
3 =11
5
6 −2=34
Step 2: Write the two new equations
as a system
Step 3: Substitute the value for x and z
into one of the original equations
3 =11
3 5 +2=11
4
5−3+3 −2 =−4
15+2=11
5
6 −2=34
5−3−6=−4
−3−1=−4
9x
2=−4
=−2
= 45
x = 5
−3=−3
=1
The solution (5, 1, -2)
Step-by-step explanation:
the value of y varies directly with x when y=24, x=2 . what is the value of y when x is 7?
Answer:
84
Step-by-step explanation:
y∞x
y=kx (where k is the constant)
24=2k
24/2=k
12=k
therefore the relationship between k,y and x is y=12x
y=12×7
y=84
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
2 pts
Question 4
Find the value of each expression. Round decimals to the nearest hundredth if
necessary.
7+8x8-4
5-3(7-5)
Answer:
67 and -1
Step-by-step explanation:
You always multiply first so its 7+64-4 and that becomes 67
You have to distribute first so the problem would be 5-21+15 which is -1
If x° and 60° are vertically opposite angles , then x° = ?
Answer:
x° = 60
Step-by-step explanation:
Vertically opposite angles are congruent, thus
x° = 60
Answer:
It is x° = 60 (✿◠‿◠)
A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank cost today if the power–sizing exponent is 0.57 and the construction cost index for such facilities has increased from 180 to 600 over the last 15 years? Choose the closest value.
Answer:
The value is [tex]P_o = \$ 561958.9 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of the metal tank is [tex]C = 2000 \ gallon[/tex]
The duration usage is [tex]t = 15\ years \ ago[/tex]
The cost of 2000-gallon tank 15 years ago is [tex]P = \$100,000[/tex]
The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]
The power sizing exponent is [tex]e = 0.57[/tex]
The initial construction cost index is [tex]u_1 = 180[/tex]
The new construction after 15 years cost index is [tex]u_2 =600[/tex]
Equation for the power sizing exponent is mathematically represented as
[tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]
=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago
So
[tex]P_n = [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]
[tex]P_n = \$168587.7[/tex]
Equation for the cost index exponent is mathematically represented as
[tex]\frac{P_o}{P_n} = \frac{u_2}{u_1}[/tex]
Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today
So
[tex]\frac{P_o}{168587.7} = \frac{600}{180}[/tex]
=> [tex]P_o = \frac{600}{180} * 168587.7[/tex]
=> [tex]P_o = \$ 561958.9 [/tex]
Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.
Answer:
50 + 30x = 45x
Step-by-step explanation:
We are told that Susan drove 50 miles before Rick started his journey.
We are told that Susan drives at 30 miles/hr
Which means total distance by Susan for x number of hours is;
50 + 30x miles
Total distance driven by Rick for x number of hours = 45x
For Rick and Susan to be at the same point, their distance covered must be the same.
Thus;
50 + 30x = 45x
45x - 30x = 50
15x = 50
x = 50/15
x = 3.333 hours
Thus, the equation where Rick and Susan would have driven the same number of miles is;
50 + 30x = 45x
Please answer! Thank you so so much and you will be rewarded in points!!
If the line passes through (-4,-7) and (4,9), what is the equation of the line in standard form?
2x - y = 1
2x + y = -1
2x + y = 1
2x - y = -1
Answer:
Step-by-step explanation:
Y=2x+1??
Answer:
2x - y = -1
Step-by-step explanation:
hope this helps
What is the inverse of multiplication?
Answer:
i would say division
Step-by-step explanation:
Answer:
Division
Step-by-step explanation:
When we multiply a number is by its (multiplicative) inverse, the result is always 1. Which means, when we add any number to zero, both the operation and inverse operation will give the same number.
Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.
Answer:
100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.
Explanation:
there are 5 pairs of whole numbers that multiplied together will be 100:
100 x 1 = 10050 x 2 = 10025 x 4 = 10020 x 5 = 100 10 x 10 = 100while there are only 2 pairs of whole numbers that multiplied together will be 15:
15 x 1 = 153 x 5 = 15Mike’s fitness center charges $30 per month for a membership. All Day fitness center charges $22 per month plus an $80 initiation fee for membership. After how many months will the total amount paid to the two memberships be the same?
Answer:
10 months
Step-by-step explanation:
30x = 22x + 80
8x = 80
x = 10
Alg I Trad Bench 1 Laurel MS 2020-2021 Section 1 8 of 308 of 30 Items Item 8 A taxi service charges a flat rate for the first 3 miles of service. For any additional mileage, the taxi service charges an additional rate per mile, x. The expression 10+2.50(x−3) represents the scenario.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
First 3 miles = flat rate
Subsequent miles = additional rate per mile x
Equation which represents the scenario :
10 + 2.50(x - 3)
If the amount charged by the taxi service for a certain trip is
10 + 2.50(x - 3)
Then. ;
10 = the flat rate charged for the first 3 seconds
2.50 = additional mile charge
x = total trip distance
Hence, (x - 3) = (total trip distance - first 3 miles) = additional miles traveled
Pleasssssse help meeeeee
Answer: [tex]x \geq 3[/tex]
The graph has a closed circle pointing to the right
HURRY PLS You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.
Race times (minutes)
74 65 57 62
63 72 78 58
60 70 68 62
How do you find the endpoint?
Answer:
Step-by-step explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.
help me it's my homework
Answer:
2. Answer is 4 and for 3. P= 1/4s
Step-by-step explanation:
Simply divide the values of one another.
This results you with:
8/2 = 4
12/3 = 4
10/5 = 2 -> I think there was an error or typo here
40/10 = 4
The constant proportion would be 4 because it is constant in every situation for S and P.
The equation would be p= 1/4s because 1 value of p would equal 4 s.
Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka Bar has 4 grams of natural sugar and 1 gram of sucrose. Each Everlasting Gobstopper has 2 grams of natural sugar and 3 grams of sucrose. Mr. Wonka has 60 grams of natural sugar and 75 grams of sucrose. If each Everlasting Gobstopper has a profit of $1.3 and each Wonka Bar has a profit of $3.2, how many of each candy would give him the maximum profit?
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
Answer:
wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
Select all sets to which the value belongs
√2- √2
Real Numbers/Irrational numbers/ Rational numbers/ Integers/Whole numbers/ Natural numbers.
Answer:
[tex] \sqrt{2} - \sqrt{2} = 0[/tex]
0 is real number, rational number, integers, whole numbers,
10w +19 +3w = 6 (9 + w) -14 does it have no solutions or infinite solutions
Answer: w = 3
Step-by-step explanation: coz I juss know
I need help with this from start to finish
Answer:
i think you need to find the squar rout and you can just do that with a caulator.
Step-by-step explanation: