A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
Answer:
what the variable is equal to
Step-by-step explanation:
for example, in a equation like 1x = 2x/2 the solution could be x=1
1. Without graphing, identify the quadrant in which the point (x, y) lies if x > 0 and y<0.
A.IV
B.III
C.I
D.II
Answer:
A
Step-by-step explanation:
The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.
Which of the equations are true identities n^3+3n^2
Answer:
n^2(n + 3)
Step-by-step explanation:
n^3 + 3n^2 factors as follows: n^2(n + 3). Note that this is an expression, not an equation.
One teacher wants to give each student 10/9 slices of pizza. If the teacher has 20 slices of pizza, then how many students will she be able to hand out pizza to?
Answer:
18 students
Step-by-step explanation:
This is a division problem.
20 divided by 10/9
20/(10/9) =
= 20/1 * 9/10
= 180/10
= 18
Someone explain this to me
Answer: a) y = f(x - 6)
b) y = f(x) - 2
Step-by-step explanation:
For transformations we use the following formula: y = a f(x - h) + k
a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3
Answer:
There you go.
Step-by-step explanation:
Please do tell me if it's wrong.
Simplify the radical expression
Answer:
[tex] x \: \sqrt[5]{ {y}^{5} } [/tex]
Step-by-step explanation:
[tex] \sqrt[5]{ {x}^{5} {y}^{5} } \\ \\ = ({x}^{5} )^{ \frac{1}{5} } \sqrt[5]{ {y}^{5} } \\ \\ = {x}^{5 \times \frac{1}{5} } \times \sqrt[5]{ {y}^{5} } \\ \\ = x \: \sqrt[5]{ {y}^{5} } [/tex]
Please help i will mark brainliest for correct answers!
Answer:
9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.
10) 2/3 (or 2:3, or 66.6%, or 0.66)
Step-by-step explanation:
9) Here are the possibilities of the cards you could pick
KQ, KJ, K10, QJ, Q10, J10
Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.
10) It doesn’t matter which card you pick first. The second card has a 1 in 3 chance of being the same card (whatever it is). That means you have a 2 in 3 chance of it NOT being the same card. So the probability is 2/3.
For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?
Answer:
a = 34
b = 34
c = 36
Step-by-step explanation:
a ; b ; c = consecutive numbers =>
b = a + 1
c = a + 2
a + 2b + c - 7 = 133
a + 2(a + 1) + (a + 2) - 7 = 133
a + 2a + 2 + a + 2 - 7 = 133
4a = 133 + 7 - 4
4a = 136
a = 34
b = 34
c = 36
Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.
Answer:
y = 3x - 5
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope
m = (-2 - 1)/(1 - 2)
m = 3
Step 2: Find b
y = 3x + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 3: Rewrite linear equation
y = 3x - 5
Step 4: Graph using graphing calc
Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5
Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x:
x^3 + 3 x^2 - 9 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1)^2 (x + 5) = 0
Split into two equations:
(x - 1)^2 = 0 or x + 5 = 0
Take the square root of both sides:
x - 1 = 0 or x + 5 = 0
Add 1 to both sides:
x = 1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 1 or x = -5
solve this systems of linear equations.separate the x- and y-values with a comma 2x+3y=-6 6x-4y=-44
Answer:
for the first one ‘x‘: x = -3/2 y -3
for the first one ‘y’: y = -2/3x-2
for the second one ‘x’: x= 2/3 y + -22/3
for the second one ’y’: y = 3/2 x + 11
Step-by-step explanation:
Please answer this question now
Answer:
5
Step-by-step explanation:
LM + MN = LN
4+5x = 9x
Subtract 5x from each side
4+5x-5x = 9x-5x
4 = 4x
Divide by 4
4/4 = 4x/4
1 =x
We want MN
5x =5*1 = 5
MN =5
Answer:
the length of MN is 5(1), or 5
Step-by-step explanation:
Segments add up to 9x here: 4 + 5x = 9x, so 4 = 4x and x must therefore be 1.
Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.
PLEASE ANSWER ASAP I WILL MARK BRAINLY
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
plsss help me withhh mathhh
Answer:
c is right
Step-by-step explanation:
1. Two trucks, truck A and truck B, are driving across the country taking the same route.
After 1 day, truck A was 117 miles behind truck B. The next day, truck A drove 185 miles
more miles than truck B. The third day, truck B drove 48 miles more miles than truck A.
Where is truck A in relation to truck B after the third day?
A. 20 miles ahead of truck B
B. 116 miles ahead of truck B
C. 254 miles behind truck B
D. 350 miles behind truck B
C--254 miles behind truck B
6f = 24 pls help!!!!!!!!!!!!!!
Answer:
f=4
Step-by-step explanation:
6f = 24
÷6 ÷6
f=4
Answer:
f = 4
Step-by-step explanation:
6f = 24
f = 24/6
f = 4
17. A gardener is installing a fence around his garden. Let x represent the width of
the garden, in feet. The perimeter of the graden is 8x + 8. Which expression
represents the length of the garden?
a. 2x + 2
b. 3x +4
c. 6x + 8
d. 8x + 8 - 2x
Hey there!
Answer:
B. 3x + 4 ft.
Step-by-step explanation:
Remember that:
Perimeter of a rectangle: P = 2l + 2w
Given:
P = 8x + 8
w = x.
Plug the given information into the equation:
8x + 8 = 2l + 2x
Subtract 2x from both sides:
6x + 8 = 2l
Divide both sides by 2:
(6x + 8)/2 = 2l/2
3x + 4 = l.
Therefore, the length of the garden is:
l = 3x + 4 ft.
50 people took a driving test. 18 of the 50 people are women. One quarter of the men failed the driving test. The number of men who passed the driving test was 8 more than the number of women who passed the test. A person is chosen at random. What is the probability that they passed the driving test? Write your answer as a decimal.
Answer:
Step-by-step explanation:
No. of people who took the test = 50
No. of women who took the test = 18
Therefore, no. of men who took the test = 50 - 18 = 32
No. of men who did not pass the test = 1/4 × 32 = 8
No. of men who passed = 32 - 8 =24
The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16
No. of women who failed = 18 - 16 = 2
Total no. of people who passed = 24 + 16 = 40
Total no. of people that didnt pass = 2 + 8 = 10
Therefore probability that they passed = 50/40 = 1.25
Hope this help : ) . Have a nice day !
Answer: The probability is 0.8
Step-by-step explanation:
Total who took the test = 50
Women who took the test = 18
50 - 18 = 32 is the number of men
32/4 = 8 men who did not pass
Men who passed = 32 - 8 =24
To find the number of women who passed : 24 - 8 = 16
Total of people who passed = 24 + 16 = 40
Number who passed out of total people = 40/50 Converted ro decimal: 0.8
So the probability of randomly selecting a person who passed is 0.8
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)
Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
Answer:
(10, 14)
Step-by-step explanation:
To solve this system let's use substitution:
Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:
3(24 - y) + 5y = 100
Performing the indicated multiplication, we get:
72 - 3y + 5y = 100
Combining like terms results in 72 - 100 = -2y, or -28 = -2y
Thus, y must be 14.
If y = 14, then the first equation tells us that x = 10.
Check: Is this true? 3(10) + 5(14) = 100 YES
The solution is (10, 14).
What was it about the questions on the best that you were supposed to compare to this solution?
Answer:
B. The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Assuming that this is the one on edge, it should be this answer!
....................................................................
Answer:
C.
Step-by-step explanation:
The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.
hope this helped look at the comments below i gave u something..
mutually exclusive..
Answer:
there are no answer choices
Step-by-step explanation:
sorry can't help
How many people are in the set C N D?
4
6
36
38
Answer:
A. 4 people
Step-by-step explanation:
Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.
Answer: 4
Step-by-step explanation:
edge
BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer
Answer:
22 hours
Step-by-step explanation:
Ken saves 90% of his earnings.
So, he must earn
270/x =90/100
90x=270*100
90x=27,000
x=27000/90
=300
x=$300 to save $270
For starting 10hours, Ken earns $8 per hour so he earns total
$8*10 hours=$80
Now, Ken has to earn remaining
$220 at a rate of $10/hour, he must work for at least
$220/$10
=22hours
What is the slope of line a?
Answer:
-1/3
Step-by-step explanation:
Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.
Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
Using the equation y = 2x + 5 , what would the input need to be for an output of -45?
a. -20
b. -25
c. -85
d. -95
Answer:
-25
Step-by-step explanation:
Essentially, y is your output and x is your input.
Here's your base equation: y = 2x + 5
Knowing the information above, let's plug it in:
-45 = 2x + 5
(Subtract 5 from both sides)
-50 = 2x
(Divide both sides by 2 to isolate x)
-25 = x
And there you go.
Answer:
input is -25
Step-by-step explanation:
y = 2x + 5
The output is -45 which is y
-45 = 2x + 5
Subtract 5 from each side
-45-5 = 2x
-50 = 2x
Divide each side by 2
-50/2 = 2x/2
-25 = x
The area of trapezoid RSTU is 68 square inches, and the area of similar trapezoid JKLM is 425 square inches. What is the scale factor of RSTU to JKLM?
Answer:
6.25
Step-by-step explanation:
The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.
425 ÷ 68 = 6.25
Answer:
It is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
I got it right on my quiz!
Please answer this question now
Answer:
The midpoint is (8,9.5)
Step-by-step explanation:
The midpoint is found by averaging the x coordinates and the y coordinates
x = (x1+x2)/2 y = (y1+y2)/2
x = (13+3)/2 = 16/2 = 8
y = (5+14)/2 = 19/2 = 9.5
The midpoint is (8,9.5)
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
To answer this question we should analyze both functions :
the intercepts with the x-axis are the numbers when a function f(x)=0here we must solve both equations :
x²=0x²+2=0the first one is obvious x=0 the scond is more interesting :
x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .
So we notice thatf has one intercept.
we added 2 to f to get g but no real intercepts