Answer:
-17
Step-by-step explanation:
8x -2y= 12
Divide the whole equation by 2:
4x -y= 6
Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
To find the y-intercept of the lone, substitute a pair of coordinates.
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.
choose the equivalent to 5 (2x-3)-4 (3x-2)=18
for g(x)=3x+1, determine g(3-2x)
Answer:
g(3−2x)=12x2−36x+29
Step-by-step explanation:
Do you need step by step?
A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.
Answer:
11.304 kg/m³
Step-by-step explanation:
0.65cm radius
Volume is 1.15 cm³
.013/.00115
Three small shipping boxes and one large shipping box hold 64 pounds. A large shipping box minus a small shipping
box holds 32 pounds. When writing a system of equations to determine how many pounds each small box (x) and each
large box (y) holds, which statements are true?
A)
y + 3x = 64
y - x = 32
B)
y - 3x = 64
y + x = 32
3y - x = 64
y - x = 32
D)
(8. 40) is the solution to the system.
E)
(12, 10) is the solution to the system.
Answer:
y + 3x = 64
y - 3x = 32
(8,40) is the solution to the system
(Basically A & D)
Step-by-step explanation:
1 large + 3 small = 64 y+3x=64
1 large - 1 small = 32 y-x=32
(12,10) cannot be a solution because the small box (x) holds more than the large box (y).
Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32
can someone please help because if I don't get my work don then I'm gonna get in trouble :(
Sheila was born in New York. She moved to
California and lived there twice as long as
she lived in New York. Then she moved to
Montana, where she has lived for 8 years.
She is now 62 years old. How long did she
live in New York?
For what value of q is the equation –13(q + 4) = 7q+ 16 true?
Answer:
q = [tex]-\frac{17}{5}[/tex] or -3.4
Step-by-step explanation:
Helpppp me please I forgot how to do this
Answer:
-11
Step-by-step explanation:
plz mark as brainliest.
Answer:
-11
Step-by-step explanation:
the absolute value of 33 is 33, and the absolute value of 3 is 3, but the negative sign is outside of the absolute value bars, so the answer is negative. the simpler equation shouldlook like this
33÷-3=___
and 33÷-3= -11
graph the equations f(x)=-1/9x-3
g(x)=5/9x-9
Answer:
Graph of equations provided in the attached image.
Step-by-step explanation:
f(x) = -4x2 + 5x
Find f (6)
Given that f(x) = x² +8x+3 and g(x) = -x-7, which of the following is true?
Select all that apply.
D. f(x)•g(x)= -x3 - 15x² +
+53x + 21
B. In the composition gof, the output f(x) is used as the input for g.
f
C. The domain of - is the set of all real numbers.
g
A. f+9= x² +7x-4
E. f(g(x)) = x² + 6x-4
Answer:
a,c,e
Step-by-step explanation:
yes
PLEASE HELP IM BEGGING
This is due and I have no idea what the answer is also I need the work shown
Answer:
Options (A), (C) and (E)
Step-by-step explanation:
System of inequalities has ben given as,
y ≥ 0.75x
y ≤ 2x - 7
By satisfying with the points given in the options,
Option A. (8, 8)
y ≥ 0.75x
8 ≥ 0.75(8)
8 ≥ 6
True
y ≤ 2x - 7
8 ≤ 2(8) - 7
8 ≤ 9
True.
Therefore, (8, 8) is the solution of the given system.
Option (B) (2, 2)
y ≥ 0.75x
2 ≥ 0.75(2)
2 ≥ 1.5
True
y ≤ 2x - 7
2 ≤ 2(2) - 7
2 ≤ -3
False
Therefore, Option B is not the solution.
Option C (9, 7)
y ≥ 0.75x
7 ≥ 0.75(9)
7 ≥ 6.75
True
y ≤ 2(x) - 7
7 ≤ 2(9) - 7
7 ≤ 11
True
Therefore, Option B is the solution of the system of inequalities given.
Option D (4, 6)
y ≥ 0.75x
6 ≥ 0.75(4)
6 ≥ 3
True
y ≤ 2x - 7
6 ≤ 2(4) - 7
6 ≤ 1
False
Therefore, Option (D) is not the solution.
Option E (10, 9)
y ≥ 0.75x
9 ≥ 0.75(10)
9 ≥ 7.5
True.
y ≤ 2x - 7
9 ≤ 2(10) - 7
9 ≤ 13
True
Therefore, Option E is the solution of the given system of inequalities.
Options (A), (C) and (E) are the correct options.
Can sumone please help with this. Its super late and I need help
Answer:
i graphed it for you in a calculator
Use substitution to solve the system of equations
Answer: 3.75, 5.5
Step-by-step explanation:
The Groves basketball team did not record how many baskets were made by each player during the last game. Daniel remembers that he made three times as many baskets as Ben. Max knows that he made six more baskets than Ben. Mitchell is sure that he made fewer baskets than Ben. Christion is sure that he made the same number of baskets as Mitchell. Altogether the five players made 40 baskets. How many baskets did each player make?
Answers:
Ben = 6Max = 12Mitchell = 2Christion = 2Daniel = 18Each count above refers to the number of baskets made for the given player.
====================================================
Explanation:
For each player, let the following variables represent how many baskets were made
B = BenM = MaxT = MitchelC = ChristionD = DanielSo for example, if D = 10, then this means Daniel made 10 baskets. Though for now, we're not sure what number replaces D or any given letter.
------------------
"Daniel remembers that he made three times as many baskets as Ben" tells us that D = 3B is one equation
We know another equation is M = B+6 since Max made six more baskets than Ben
Another equation is C = T because these two students (Christion and Mitchell) made the same number of baskets.
We also know that T < B since Mitchell made fewer baskets compared to Ben.
Altogether the boys made 40 baskets total, so B+M+T+C+D = 40
-------------------
We have these five mathematical statements
D = 3BM = B+6C = TT < BB+M+T+C+D = 40Let's focus on the last equation
B+M+T+C+D = 40
B+M+T+C+3B = 40 .... plug in D = 3B
4B+M+T+C = 40
4B+M+T+T = 40 .... plug in C = T
4B+M+2T = 40
4B+B+6+2T = 40 .... plug in M = B+6
5B+6+2T = 40
5B+2T = 40-6
5B+2T = 34
Now let's solve for T
5B+2T = 34
2T = 34-5B
2T = -5B+34
T = (-5B+34)/2
T = (-5B)/2 + 34/2
T = -2.5B + 17
----------------------------------
We've eliminated everything but two variables at this point.
Let's say that x replaced B and y replaces T
We get the equation y = -2.5x + 17
If you graph this equation along with y = x, you'll find that the two equations intersect at roughly (4.857, 4.857)
Since we want T < B, this means we want y < x to be the case. The line y = -2.5x+17 goes downhill as we move from left to right. If x is smaller than 4.857, then x >= y. Otherwise, if x is larger than 4.857, then y < x
Furthermore, looking at a table of values for this equation shows that only (x,y) = (6,2) is a point on y = -2.5x+17 such that both x and y are positive and x is the larger value, and they are both integer coordinates.
All of this means that when B = 6, this pairs with T = 2. No other number pair is possible for these two students.
We then use this to find the other player's basket count
D = 3B = 3*6 = 18M = B+6 = 6+6 = 12C = T = 2----------------------------------
So we have the following results
B = 6M = 12T = 2C = 2D = 18As a check,
B+M+T+C+D = 6+12+2+2+18 = 40
which confirms our answers.
9514 1404 393
Answer:
Ben: 6Daniel: 18Max: 12Mitchell: 2Christion: 2Step-by-step explanation:
Let x and y represent baskets made by Ben and Mitchell, respectively. Then Daniel made 3x baskets, Max made (x+6) baskets, and Christion made y baskets. The total number is ...
x + 3x +(x+6) +y +y = 40
5x +2y = 34 . . . . . . . . . . . subtract 6
The other constraint on the solution is ...
y < x . . . . . . . . . Mitchell made fewer baskets than Ben
__
We can see that 34 differs from a multiple of 5 by an even number, so (by inspection) we determine that (x, y) = (6, 2) is a solution to the equation. (It is also a solution to the inequality.)
Other possible solutions will require y increase by 5 as x decreases by 2, so those are ...
(x, y) = {(6, 2), (4, 7), (2, 12), (0, 17)}
The only (x, y) pair that satisfies the inequality is the first one: (x, y) = (6, 2). Hence the numbers of baskets are ...
Ben: 6Daniel: 18Max: 12Mitchell: 2Christion: 2Which two expressions are equivalent to 20 + 48 ?
Answer:
A and D
Step-by-step explanation:
A.
2(10)=20
2(24)=48
20+48
D.
4(5)=20
4(12)=48
20+48
i hope this helps!
F=ma. Solve the equation for a
Answer:
F/m=a
Step-by-step explanation:
Work out surface area 4cm,7cm. Write your answer to 3 significant figures
Someone please help me with this fast
Answer:
Surface area: 92 cm2
Volume: 60 cm3
Step-by-step explanation:
Hope this helps and tell me in the comments if it is correct or not.
help plz I dont no 500+500 =(
Answer:
500+500=1,000
Step-by-step explanation:
I hope this helps!
What is 1/2 divided by 1/8?
Answer:
8/2
Step-by-step explanation:
Answer:
8/2 will be your first answer but then you simplify to get the answer of 4
HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in!
Answer:
K = - 4
Step-by-step explanation:
And i don't have a paper now so I cann't to complet the table sorry
I need the area and perimiter.
Answer:
189.3 square inches, 55.7 inches
Step-by-step explanation:
Area = area of rectangle + area of semicircle
area of rectange = 10 * 15 = 150 square inches
radius of semicircle = 10/2 = 5
area of circle = (pi * 5^2)/2 = 12.5pi square inches
total area = 150 + 12.5pi = 189.3 square inches
total perimeter = perimeter of rectangle - left side + perimeter of semicircle
perimeter of rectangle = 10 + 15 + 15 = 40 inches
perimeter of semicircle = 10pi/2 = 5pi inches
total perimeter = 40 + 5pi = 55.7 inches
Compare the two video's about Early Man
Answer:
i love that video
Step-by-step explanation:
it was so interesting
i love it
I need help ASAP what’s the answer
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C, from the equation y=mx+c
Help plz:)))I’ll mark u Brainliest
Answer:
The Ladder Reaches 15Ft Up The Wall
Step-by-step explanation:
3,576 divided by 38
Answer:
3576 ÷by 38= 94
Step-by-step explanation:
I think this ans may help you
Answer:
The answer is 94.1052631579
Step-by-step explanation:
BRAINLIEST and 20 points if you are 100 % sure of the answer
Answer:
h>-21
Step-by-step explanation:
So, you solve it like an equation, so you do -7 divided by -1/3
which is
and since you divided it by a negative, you switch the sign.
A total of 6.54 inches of snow fell during a storm. The snow fell at an
average rate of 1.5 inches per hour. For how many hours did the snow fall? *
Answer:
4.36
Step-by-step explanation:
6.54/1.5=4.36
Which of the following pairs of triangles can be proven congruent through SAS?
Answer: A
Step-by-step explanation: both triangle have a congruent side, angle, and second side