Match the system of equations on the left with the number of solutions on the right
Answers
Answer:
top to bottom, the answers are b, c, a
Step-by-step explanation:
One way to find the solution to a system of equations is to substitute values in. For the first one,
y=2x+3
y=2x+5,
we can substitute 2x+3 =y into the second equation to get
y=2x+5
2x+3 = 2x+5
subtract 2x from both sides
3 = 5
As 3 is not equal to 5, this is never equal and therefore has no solution
For the second one,
y= 2x+7
y = (-2/3)x + 10
We can plug y=2x+7 into the second equation to get
2x + 7 = y = (-2/3)x + 10
2x + 7 = (-2/3)x + 10
add (2/3)x to both sides to make all x values on one side
2x + (2/3)x + 7 = 10
subtract 7 from both sides to make only x values on one side and only constants on the other
2x + (2/3)x = 3
(6/3)x + (2/3)x = 3
(8/3)x = 3
multiply both sides by 3 to remove a denominator
8x = 9
divide both sides by 8 to isolate x
x=9/8
There is only one value for when the equations are equal, so this has one solution
For the third one
y = x-5
2y = 2x - 10
Plug x-5 = y into the second equation
2 * y= 2*(x-5)
2 * (x-5) = 2x - 10
2x-10 = 2x-10
add 10 to both sides
2x=2x
As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system
Related Questions
“Use the equation 2p-7=25 to find the weight of your uncles backpack”
Answers
Answer:
the equation is 2p-7=25 // p = 16
Answer:
Your uncle's backpack weighs 16 pounds.
Step-by-step explanation:
1.) Add 7 to each side
2p=32
2.) Divide each side by 2
p = 16
3.) That is your answer.
Which inequality is not true?
- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
-7/8 < - 1/4
Answers
Answer:
b -7/8 > -0.50
Step-by-step explanation:
is your answer
Answer:
- 7/8 > -0.50
Step-by-step explanation:
-7/8 =-.875
Change to get decimals with decimals or fractions to have a common denominator
-.875 < -0.60 true
-.875 > -0.50 false
-14/16 > - 15/16 true
-7/8 < - 2/8true
Which is the graph of y = log4(x+3)?
Answers
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
Problem 2 Find the mBC.
Answers
Answer:
38º
Step-by-step explanation:
<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.
So mBC = 38º
Which is a factor of x2 + 5x - 24?
(x - 6)
(x + 6)
(x-8)
(X + 8)
Answers
Answer:
[tex](x + 8)(x - 3)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 5x - 24[/tex]
[tex] {x}^{2} + 8x - 3x - 24[/tex]
Factor by grouping
[tex](x + 8)(x - 3)[/tex]
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answers
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
Find the lowest common multiple (LCM) of 28 and 35.
Answers
Step-by-step explanation: I would first create a factor tree for these numbers and break them down into their prime factorization.
First, 28 is 7 x 4 and 4 is 2 x 2
Next, 35 is 7 x 5
In our factors tree, a 7 is a factor that is shared so we pull out a 7.
Now, we multiply all of our factors that don't pair up
and in this case, that's a 2, another 2, and a 5.
So our LCM is 7 x 2 x 2 x 5 or 140.
140
the lcm of two non-zero integers ×(28) and y(35) ,is the smallest posetive integer m(140) that is divisibleby both ×(28)and y(35) Without any remainder
HELP ASAP
THANK YOU!!!
Answers
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
Factor the polynomial
Answers
Answer:
(x+8)(x+7)
Step-by-step explanation:
Find two numbers that add to
b
and mulitply to
a*c
so find two numbers that add to
15
and mulitply to
56
Those two numbers are 8 and 7
therefore the answer is
(x+8)(x+7)
Will Give Brainliest!
Solve for r.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
35r - 21 < -35r + 19
Answers
Answer:
r < 4/7
Step-by-step explanation:
35r - 21 < -35r + 19
35r + 35r < 19 + 21
70r < 40
r < 4/7
Answer:
r < 4/7
Step-by-step explanation:
I am not sure. Is this right?
Answers
Answer:
14.4
Step-by-step explanation:
since the longest side is 24,find the shortest side
√20^2-12^2
√400-144
√256
=16
which means the other shortest side is 24-16
which is 8
then you have to use the 12 and 8 to find the unknown side
√12^2+8^2
144+64
√208
14.4
I hope this helps
whats the geometric means of 4 and 1/4
Answers
The gometric means G1, G2, G3, 1/4
using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15
Answers
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
PLS HELP ASAP PLS PLSPLS
What is the explicit formula for this sequence?
6, 2, -2, -6, ...
Answers
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).
Hey can anyone help with this question?
Answers
Answer:
Step-by-step explanation:
When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2
Divide 360 between Kunal and Mohit in the ratio of 7:8
Answers
Answer:
K = 168 M = 192
Step-by-step explanation:
7:8 = 15
?:? = 360
Divide
360 / 15 = 24
Multiply
24 × 7 = 168
24 × 8 = 192
168:192 = 360
So, Kunal gets $168 and Mohit gets $192.
Step-by-step explanation:
Let the common ratio = x
Kunal = 7x
Mohit = 8x
Total value = 360
we know,
7x + 8x = 360
15x = 360
x = 360÷15
x = 24
so,
Kunal = 7x = 7×24=168
Mohit = 8x = 8×24=192
Phythagorean theorem help me plsss
Answers
Answer:
5
Step-by-step explanation:
We know that a^2+b^2=c^2 from the Pythagorean theorem where a and b are the legs and c is the hypotenuse
4^2+3^2 = c^2
16+9 = c^2
25 = c^2
Taking the square root of each side
sqrt(25) = sqrt(c^2)
5 =c
Answer:
d = 5 m
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles with legs 3 and 4 and hypotenuse h
Using Pythagoras' identity in one of the right triangles, then
d² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
d = [tex]\sqrt{25}[/tex] = 5
can someone help me pls
Answers
it's easy look at the example for reference
Given m
11
n, find the value of x.
N
820
20
Answer: =
Submit Answer
CAN SOMEONE PLS HELP I keep getting it wrong
Answers
Answer:
x = 98
Step-by-step explanation:
x and 82 are adjacent angles on a straight line and sum to 180° , then
x + 82 = 180 ( subtract 82 from both sides )
x = 98
Answer this plz hurry will mark the brainiest!
Answers
Answer:
17.138
Step-by-step explanation:
area of segment = area of minor sector of the circle -area of triangle TSR
NOTE : AM using area of triangle as
1/2absinC
(48/360 ×22/7 ×19 ) - (1/2 × 19 ×19 × sin 48)
= 151.276 - 134.134
= 17.138
using trig to solve for missing angles
Answers
Answer:
? = 32.20422
Step-by-step explanation:
We know the adjacent side and the hypotenuse
cos ? = adj / hyp
cos ? = 33/39
cos ? = 11/13
Taking the inverse cos of each side
cos ^ -1( cos ?) = cos^-1(11/13)
? = 32.20422
The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
Answers
Answer:
P=2(74)+2(5)
148+10=158
Find the length of BC⎯⎯⎯⎯⎯⎯⎯⎯
Answers
Answer:
≅ 53.679
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(54) = BC / 39
1.37638... = BC / 39
BC = 1.37638... x 39
= 53.67889...
SOMEONE HELP ME PLEASE
Answers
Answer:
Step-by-step on:ơ
100 PNTS AND BRAINLIST FOR CORRECT ANWSER WITH A GOOD EXPLAINATION!!
You pay $10 to play the following game of chance. There is a bag containing 20 balls: five are red, five are green, and the rest are yellow. You are to draw one ball from the bag. You will win $18 if you draw a red ball, and you will win $10 if you draw a green ball. You win nothing for drawing a yellow ball. What is the expected value? Should you play?
Answers
Answer:
Expected value is -3
You should not play
Step-by-step explanation:
five are red, five are green, 10 yellow
P(red) = red/total = 5/20 = 1/4
P(green) = green/total = 5/20 = 1/4
P(yellow) = yellow/total =10/20 = 1/2
Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play
=18/4 + 10/4 - 10
=28/4 -10
=7-10
= -3
You should not play
THIS IS TIMED! Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X
Answers
Answer:
A reflection of the point across the line y = -x
Step-by-step explanation:
General rule for reflection across line y = -x is
(a,b) -------> (-b , -a)
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answers
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
The path a character takes to navigate a level of a video game is given in the following graph.
What is the domain?
A. –4 ≤ x ≤ 8
B. –4 ≤ x ≤ 8, x ≠ 0, 4
C. –10 ≤ x ≤ 10
D. –10 ≤ x ≤ 10, x ≠ –4, 6
Answers
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.
According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:
–10 ≤ x ≤ 10
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
Learn more here: https://brainly.com/question/18486099
which function defines the sequence 5,8,11
Answers
Answer:
adding 3 to each number.
Step-by-step explanation:
