Answer:
- 10
Step-by-step explanation:
Step 1:
3 ( x - 10 ) = 5 ( 2x + 8 ) Equation
Step 2:
3x - 30 = 10x + 40 Multiply
Step 3:
- 30 = 7x + 40 Subtract 3x on both sides
Step 4:
- 70 = 7x Subtract 40 on both sides
Step 5:
x = - 70 ÷ 7 Divide
Answer:
x = - 10
Hope This Helps :)
The paraboloid z = 3 − x − x2 − 2y2 intersects the plane x = 1 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point (1, 3, −17). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.
Answer:
the required parametric equation is:
x = 1
y = t + 3
z = -12t - 17
Step-by-step explanation:
From the given information:
We are to express x,y, and z in terms of t.
The purpose of this question is to find the parametric equations in terms of t.
Given that the tangent line related to the parabola is the point (1,3, -17)
Provided that the paraboloid z = 3 - x - x² - 2y² intersect the plane x = 1 in a paraboloid; then:
z = 3 - 1 - (1)² - 2y²
z = 1 - 2y²
Suppose y = t, then the parametrization is given by:
(x (t), y(t), z(t) ) = (1, t, 1 - 2t²)
(x' (t), y'(t), z'(t) ) = (0,1, -4t)
At the point (x,y,z) = (1,3, -17)
For t (=y) = 3
Hence, (x'(3),y'(3),z'(3)) = (0,1, -12)
Therefore, the equation of the tangent line can be expressed as:
[tex]\dfrac{x-1}{0}=\dfrac{y-3}{1}=\dfrac{z-(-17)}{-12}=(t)[/tex]
x - 1 = 0, y -3 = t, z + 17 = -12t
x = 1, y = t + 3 , z = -12t - 17
Thus, the required parametric equation is:
x = 1
y = t + 3
z = -12t - 17
Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
(0,6) & (3,0)
m = (y2-y1)/(x2-x1)
m = (0-6)/(3-0)
m = -6/3
m = -2
Substitute the values in y = mx + c
0 = -2(6) + c
c = 12
Thus, the equation is y = -2x + 12
Answer:
y=2x-6
Step-by-step explanation:
You can plug this into the slope formula, x-intercept of 3 would be (3,0)
and y intercept of -6 would be (0,-6).
Find the slope using the slope formula. The slope is 2
We are given a y-intercept of -6
therefore, the answer is y=2x-6
What statments are correct? Check all that apply.
Answer:
what is the statements?
Step-by-step explanation:
A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Answer: 242 = 190 + 4t
Step-by-step explanation:
You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.
Graph the line with the slope of 3/5 and goes through the point (1,2)
Answer:
Here's a screenshot of the correct line:
The line with the slope of 3/5 and goes through the point (1,2) is y = 3/5x + 7/5
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the line has a slope of 3/5 and goes through the point (1,2). The equation of the line is given by:
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{3}{5}(x-1)\\\\y-2=\frac{3}{5}x-\frac{3}{5} \\\\y=\frac{3}{5}x+\frac{7}{5}[/tex]
PLEASE HELP, ASAP!!!! eighth grade math. please don’t skip i’ve been trying to keep repost this so i can get an answer:(
What is the largest integer value of n for which 3√ n is less than √ 200? Be sure to explain how you got your answer.
Step-by-step explanation:
[tex]3 \sqrt{n} < \sqrt{200} \\ \sqrt{n} < \sqrt{200} \div 3 \\ \sqrt{n} < \sqrt{200 } \times \sqrt{1 \div 9} \\ \sqrt{n} < \sqrt{200 \times (1 \div 9)} \\ \sqrt{n } < \sqrt{22} \\ n < 22 \\ n = 21[/tex]
200/9=22.22222
so i took the nearest number 22 just to make it easy. I think there is no problem.
Given the equation of a linear function in standard form 2x + 3y = 12, solve for y. Select all that apply
A bathtub is being filled with water. After 10 minutes, there are
75 quarts of water in the tub. Then someone accidentally pulls the
drain plug while the water is still running, and the tub begins to
empty. The tub loses 15 quarts in 5 minutes, and then someone
plugs the drain and the tub fills for 6 more minutes, gaining
another 45 quarts of water. After a 15-minute bath, the person
gets out and pulls the drain plug. It takes 11 minutes for the tub
to drain.
The graph is a graph........
The domain is .....
The range is .......
Please help!!!!!
I'll give 92 points for the one that answers!!!
Answer:
domain is ..... 13
The range is 45
Step-by-step explanation:
Which definitions describe context? Check all that apply.
words that can give me clues to the meaning of an unknown word
words or ideas inside an unknown word
words or ideas around an unknown word
words that I do not know
words or ideas that are easy to understand
Answer: Words that can give you clues to the meaning of an unknown word
Step-by-step explanation:
Answer:
A and CStep-by-step explanation:
I just answered that question and i got it right. Have a great day :)Two-third of Leon's tropical fish in his tank is equal to one-fourth of harry's tropical fish in his tank Find the ratio of the no. Of Leon's tropical fish to the no. Of harry's tropical fish What fraction of the number of harry's tropical fish is the number of Leon's tropical fish
Answer:
L : H Ratio = 3 : 8 , L as a fraction of H = 3/8
Step-by-step explanation:
Let the no. of Leon's tropical fish be = L
Let the no. of Harry's tropical fish be = H
Given : 2/3 L = 1/4 H
L / H = 1/4 (3/2)
L : H = 3 : 8
Let total fishes or common ratio = x
L = 3/11 (x) , H = 8/11 (x)
Fraction L / H = [ 3/11 (x) ] / [ 8/11 (x) ]
L / H = 3/8
Hannah makes $1,500 per month. She spends $450 on groceries and
eating out. What percentage of her budget is spent on food?
suppose you are organizing a party and have a budget of b dollars for the appetizers. You plan to order v vegetarian spring rolls at $0.75 each and s shrimp rolls at $0.95 each.
The equation 0.75v+0.95s=b represents this constraint.
Solve 0.75v+0.95s=b for v
When would it be most helpful to use this equation?
Answer:
v = b/0.75 - 0.95s/0.75
Or
v = (b - 0.95s) / 0.75
Step-by-step explanation:
Solve 0.75v + 0.95s = b for v
This means making v the subject of the formula
0.75v + 0.95s = b
Subtract 0.95s from both sides
0.75v + 0.95s - 0.95s = b - 0.95s
0.75v = b - 0.95s
Divide both sides by 0.75
v = (b - 0.95s) / 0.75
v = b/0.75 - 0.95s/0.75
The equation will be useful in determining the number of vegetarian
Well I don't know the answer so help me please :p
Answer:
I'd say 66
Maybe 22/3
Step-by-step explanation:
can someone please help me with my algebra 1 homework and if you can explain how it works thank you
Answer:
1. y = 2m + 4
2. y = 3m + 1
3. y = 2/3m +1
4. y = 4m -6
Will answer any questions in the comments
Step-by-step explanation:
1. 1 -> 5 = 4
6 -> 14 = 8
8/4 = 2
y = 2m + 4
2. 2 -> -3 = -5
-5 -> 10 = 15
5/15 = 3
y = 3m + 1
3. 9 -> -3 = -12
11 -> 3 = -8
-8/-12 = 2/3
y = 2/3m + 1
4. 3 -> -2 = -5
6 -> -14 = -20
-20/-5 = 4
y = 4m - 6
What is the answer?
-6 x -6
Answer:
36
Step-by-step explanation:
2/5=x/65 solve for x
A: x=1/26
B: x=16
C: x=28
D: x=26
please help me
Answer:
Solve : -x+26 = 0
Subtract 26 from both sides of the equation :
-x = -26
Multiply both sides of the equation by (-1) : x = 26
[tex] \frac{2}{5} = \frac{x}{65} [/tex]
[tex]2 \times 65 = 5 \times x[/tex]
[tex]130 = 5x[/tex]
[tex]x = \frac{130}{5} [/tex]
[tex] \color{hotpink}x = 26[/tex]
Therefore , the correct option is :-
[tex]\color{plum}D) \: x = 26[/tex]
During a rainstorm, the water level of the “Big Pond” 2/3 rose ft. Then it rose 4/5 another ft.
How much did it rise in all?
Answer:
1 7/15 feet
Step-by-step explanation:
2/3 + 4/5
10/15 + 12/15
22/15
1 7/15
Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Isabella wants to order the race times from her slowest time to her fastest time. Sort the decimals in order from greatest to least.
Given:
Number of 100-meter races = 5
The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
To find:
The decimals in order from greatest to least.
Solution:
The time it took Isabella to complete each race, in seconds, was shown below:
12.7, 12.807, 12.78, 12.08, 12.087
We need to arrange this data in descending order.
In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get
12.807 > 12.78 > 12.7 > 12.087 > 12. 08
Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.
2 + 6i
-5 + i
simplify
Answer:
7+7i
Step-by-step explanation:
you would combine like terms
Which point is located at -7.75 ?
Answer:
Point C
Step-by-step explanation:
explain and give an example of how "power to a power" rule is different from "Multiplying powers" rule.
75
To go on a fairground ride, you must be at least 5 feet tall. Express this as an inequality.
A. A) h<5
B. B) hs5
C. C) h>5
D. D) h25
Select an answer
30 divided by what gives you 6
Answer:
5
Step-by-step explanation:
[tex]30 \div 5 = 6[/tex]
5 Which expression is represented on the number line?
ASAP
f+3≥20 or f+15≤7
Solve for f
Answer:
Your answer is:
1) f >= 17
2) f <= -8
Step-by-step explanation:
Hope this helped : )
1. Convert this fraction into a decimal 1/4
Answer:
.25
Step-by-step explanation:
take 100 and divide it by 4. you get 4 25s. so its .25
Answer: 0.25
Step-by-step explanation:
what is the first word
I don't understand the question......
Answer:
Step-by-step explanation:
According to Wiki answers, the first word ever uttered was “Aa,” which meant “Hey!” This was said by an australopithecine in Ethiopia more than a million years ago
A number x minus 7 is at most 22?
Which equation is true when k= -15
Answer:
k over 3 +17 =12
Step-by-step explanation:
-15/3=-5
-5+17=12
Find m21.
103°. 13° 77°. 26°