Answer:
X=7-y over 2
Step-by-step explanation:
Subtract yy from both sides.
2x=7-y2x=7−y
2 Divide both sides by 22.
x=\frac{7-y}{2}x=
2
7−y
The equation solved for y is y=7-2x.
The given equation is 2x+y=7.
We need to solve the given equation for y.
How to solve an equation?Solving equations is computing the value of the unknown variable still balancing the equation on both sides. An equation is a condition on a variable such that two expressions in the variable have equal value. The value of the variable for which the equation is satisfied is said to be the solution of the equation. An equation remains the same if the LHS and the RHS are interchanged.
Now, solving the equation for y, we get y=7-2x.
Put x=1, 2, 3, 4,....in the equation and find the y value.
So, put x=1 in equation y=7-2(1)=5.
Put x=2, we get
y=7-2(2)=3
Verification: Put the ordered pair (1, 5) in the equation and verify.
That is, 5=7-2(1)
⇒5=5
Therefore, the equation solved for y is y=7-2x.
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4) Given: f(x) = 4x – 1 g(x)= 3x - 2
Find:
f(x) + g(x)
f(x) *g(x)
f(g(x))
f(x) - g(x)
Step-by-step explanation:
f(x) = 4x - 1
g(x) = 3x - 2
1) f(x) + g(x) = (4x - 1) + (3x - 2)
= 4x - 1 + 3x - 2
= 4x + 3x -1 - 2 = 7x - 3
2) f(x) * g(x) = (4x - 1) * (3x - 2)
= 12x^2 - 8x - 3x + 2
= 12x^2 -11x + 2
3) f(g(x)) = 4(3x - 2) - 1
= 12x - 8 - 1
= 12x - 9
4) f(x) - g(x) = (4x - 1) - (3x - 2)
= 4x - 1 - 3x + 2
= 4x - 3x - 1 +2
= x + 1
Make up your own “which one doesn’t belong” example:
a. 8x^3-64
b. x^6+27y^3
c. 27-x^9
d. -x^3-8
Karen is working on a project that is due in 8 days.
So far, she has spent 3 2/5 hours on it and figures that she is about 4/8 done.
How many more hours will she need to spend on this project?
Express your answer as a decimal, rounded to the nearest hundredth
Given :
Karen spent 3 2/5 hours on it and figures that she is about 4/8 done.
To Find :
How many more hours will she need to spend on this project .
Solution :
Simplifying time spend in normal fraction .
[tex]t=3\dfrac{2}{5}=\dfrac{(3\times 5)+2}{5}\\\\\\t=\dfrac{17}{5}\ hours[/tex]
Now , time taken to complete full project .
[tex]x=\dfrac{17}{5} \times \dfrac{8}{4}\\\\x=6.8\ hours[/tex]
Therefore , hours required to complete the project is 6.8 hours .
Hence , this is the required solution .
Elise bought 6.47 pounds of peanuts and 4.22 pounds of raisins. How many pounds of snacks did she buy in all?
Answer:
10.69 pounds
Step-by-step explanation:
4.22 + 6.47 = 10.69
Answer:
10.69 pounds of snacks
Step-by-step explanation:
Total no of raisins ;
[tex]6.47+4.22\\\\=10.69[/tex]
Angles Q and R are supplementary. If the measure of angle Q =4x+9 and the measure of angle R is 8x+3, what is the measure of each angle?
Answer:
180°
Step-by-step explanation:
So supplementary agles are angles that add up to 180 degrees thus the measure of each angle is 180 degrees.
The 4x+ 9 and 8x+3 are meant to confuse you. But if you need help figuring out what x is i can help :)
HOPE IT HELPED.
Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. If a randomly selected male’s height is at the 75th percentile, how tall is he (to the nearest tenth of an inch)?
Answer:
73.1 inches
Step-by-step explanation:
We solve for this using z score formula.
z-score is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
x = unknown = randomly selected male's height
μ = 70.3 inches
σ = 4.1 inches
z = is not given but we are given its percentile which is 75
The z score for a 75th percentile = 0.674
Hence,
0.674 = x - 70.3/4.1
Cross Multiply
0.674 × 4.1 = x - 70.3
2.7634 = x - 70.3
x = 70.3 + 2.7634
x = 73.0634 inches
The height of the randomly selected male = 73.0634
Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches
(I need help again)
Which number is farthest to the right
A. —15
B. —1
C. 0
D. 1
Find -5
A. -5
B. 5
C. 1/5
D. -1/5
Answer:
5
Step-by-step explanation:
on a graph all of the regular numbers are on the left
Given that QRVTSU is a regular hexagon, what are the lengths of QR and ST ?
Answer:
QR = 37
ST = 37
Step-by-step explanation:
length of all sides are equal
so QR = ST
3y + 19 = 6y + 1
combine like terms
19 -1 = 6y - 3y
18 = 3y
y = 18/3
y = 6
QR = 3(6) + 19
QR = 37
ST = 6(6) + 1
ST = 37
Answer:
QR = 37
ST = 37
Step-by-step explanation:
QR = ST
3y + 19 = 6y + 1
19 -1 = 6y - 3y
18 = 3y
y = 18/3 = 6
substitute
QR = 3(6) + 19 = 37
ST = 6(6) + 1 = 37
Find the slope of the line that passes through each
pair of points. Express as a fraction in simplest
form. (-2,6), (1,15)
Answer:
m = 3/1
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1) = (15 - 6)/(1 - (-2)) = 9/3 = 3/1
Find the mean. 217, 230, 214, 227, 196, 235, 220, 224, 208, 209, 191, 205, 184, 214, 219, 208, 227, 194, 228, 186, 201, 239
Answer:
212.54
Step-by-step explanation:
To find the mean, we take the sum of all numbers and divide by the total amount in the set
Total sum: 4676
Numbers in the set: 22
4676 divided by 22 = approx. 212.54
max is thinking of a number, which he calls n. He adds 8 an then doubles the sum
decimal:
3.2
fraction:
3.2/1
Point A is located at (4, 7). It will be translated 5 units right and 3 units down. Write the rule and give the location of point A. Step by Step Explanation
Answer:
4,7 -> 9,4, rule: (x,y)->(x+5,y-3)
Step-by-step explanation:
Let’s write the rule first,
(x,y) -> (x+5,y-3) (right 3, down 3)
Now we add 5 to x and subtract 3 from y.
4,7 -> 9,4
an investment of $5000 earned $1050 for 1 year. How much will an investment of $9000 earn at the same rate for 1 year?
Answer:
Amount earned (New investment) = $1,890
Step-by-step explanation:
Given:
Amount invested = $5,000
Earned = $1,050
New investment = $9,000
Find:
Amount earned (New investment)
Computation:
Amount earned (New investment) = [Earned / Amount invested]New investment
Amount earned (New investment) = [1,050 / 5,000]9,000
Amount earned (New investment) = $1,890
I didn’t study and it’s 2 am pls help
7. g(3) = 42
8. f(6) = - 124
9. g(15) = 3
10. h(-3) = 1/8
Step-by-step explanation:7. g(x) = 4x² + 6
g(3) = 4×3² + 6
= 4×9 + 6
= 36 + 6
= 42
8. f(x) = - 3x² - 4x + 8
f(6) = - 3×6² - 4×6 + 8
= - 3×36 - 24 + 8
= - 108 -16
= - 124
9. g(x) = √(x - 6)
g(15) = √(15 - 6)
= √9
= 3
10. h(x) = 2ˣ
h(-3) = 2⁻³
= 1/2³
= 1/8
Yolanda will be travelling out of town for business. During her travel, she is scheduled to have 4 dinners, 5 lunches, and 3 breakfasts. Her employer will pay her
for these meals at the following rate:
$21.50 for dinner, $12.15 for lunch, and $5.73 for breakfast.
What is the total amount Yolanda will be paid for these meals?
Answer:
$163.94
Step-by-step explanation:
4 dinners at $21.50 each
5 lunches at $12.15 each
3 breakfasts at $5.73 each
4 • 21.50 = $86
5 • 12.15 = $60.75
3 • 5.73 = $17.19
86 + 60.75 + 17.19 = 163.94
Answer:
$163.94
Step-by-step explanation:
Dinners
Yolanda will have 4 dinners and each dinner costs $21.50
Multiply 4 and 21.50
⇒ 4 * 21.50
⇒ 86 = $86
Lunches
She will have 5 lunches that each cost $12.15
Multiply 5 and 12.15
⇒ 5*12.15
⇒ 60.75 = $60.75
Breakfasts
Yolanda is going to have 3 breakfasts at $5.73 for each breakfast.
Multiply 3 and 5.73
⇒ 3*5.73
⇒ 17.19 = $17.19
Find the total. Add the cost for dinners, lunches and breakfasts together.
$86 + $60.75 + $17.19
$163.94
Yolanda will be paid $163.94 for the meals.
ZRQS, what
of one of the
Use the diagram shown.
re collinear.
5 and LN = 17.
alue of MN?
12. If mZ1 equals (2x + 3) and m23
equals (6x - 17), what is the value
of x? What is mZ1?
13. If m 2 equals (15a + 8) and m23
equals (5a - 8), what is the value
of a?
Cso that
hat is x?
Answer:
12. x = 5, m∠1 = 13°13. a = 9°Step-by-step explanation:
12..................................Given:
m∠1 = (2x + 3) m∠3 = (6x - 17) x? m∠1?Solution:
∠1 and ∠3 are vertical angles.
We know the property that vertical angles are equal:
2x + 3 = 6x - 176x - 2x = 3 + 174x = 20x = 5m∠1 = 2*5 + 3 = 13°13 ..................................Given
m ∠ 2 = (15a + 8) m ∠ 3 = (5a - 8)a = ?Solution
∠2 and ∠3 are supplementary angles.
We know the property that supplementary angles add up to 180°:
15a + 8 + 5a - 8 = 180°20a = 180°a = 180°/20a = 9°Write 0.586 in simplest form
0.586 is already in simplest form but we can round if you choose to do so.
Round to the nearest hundreth.
0.586 -> 0.59
Round to the nearest tenth.
0.586 -> 0.6
Round to the nearest one.
0.586 -> 1
Best of Luck!
what solution is -19=b-6
Answer:
b = -13
Step-by-step explanation:
Answer:
b = - 13
Step-by-step explanation:
Step 1:
-19 = b - 6
Step 2:
- 19 + 6 = b
Answer:
b = - 13
Hope This Helps :)
Solve x[tex]x^{2} = 225[/tex]
Hi there!
~
Let's solve your equation step-by-step.
[tex]x^{2} =\ 255[/tex]
Step 1: Take square root.
[tex]x =[/tex] ± [tex]\sqrt{255}[/tex]
[tex]x = \sqrt{255}[/tex] or [tex]= - \sqrt{255}[/tex]
Hope this helped you!
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
[tex]\frac{AB}{ED}=\frac{BC}{DF}[/tex]
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
[tex]\frac{x}{3.8}=\frac{15}{5}[/tex]
Reduce the right:
[tex]\frac{x}{3.8}=\frac{3}{1}[/tex]
Cross multiply:
[tex]x=11.4[/tex]
So, the value of x is 11.4
And we're done!
EEEE
Domain: The set of all states
Range: The set of all senators
(Remember, each state has two senators!)
This relation is
not a functions
COMPLETE
Create your own real-world example of a relation
that is a function,
Domain: The set of
Range: The set of
DONE
Answer:
Domain: The set of 0
Range: The set of 16
Step-by-step explanation:
A real-world example of a relation that is a function is
Domain: The set of voters.
Range: The set of candidates.
during an election.
What is a function?A function is a relationship from a set of inputs called domain to a set of outputs called range, such that not more than one value is assigned to an input.
How to tackle the problem?For the given example we understand that each state has two senators hence the relation is not a function.
A real-world example of a relation that is a function is
Domain: The set of voters.
Range: The set of candidates.
during an election.
This is a function because one voter can vote for only one candidate.
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what choice is NOT equal to the others? - 2/5. -2/5. 2/5. 2/-5
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]- 2/5= -\frac{2}{5}\\\\ -2/5= -\frac{2}{5}\\\\ 2/5 = \frac{2}{5} \\\\2/-5= -\frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
It has no minus behind any of the numbers.
A rectangle has a length of 5 root 26 i ched and a width of 2^1/5 inches find area if rectangle
Answer:
I believe the answer 2.2039 is if you meant inches by "i ched"
Step-by-step explanation:
Hope this helps
While on your trip you get sick and eventually end up in the hospital. The doctor orders 120 mg of medicine to be given in the morning, and another 120 mg to be given at night. The nurse comes in to give you your morning dose and tells you that there are 30 mg in each tablet. How many tablets should you get?
Answer:
4 tablets
Step-by-step explanation:
If the morning dose is 120mg and each tablet is 30mg then all you do is divide 120 by 30 to get the answer 4
Step-by-step explanation:
4 tablets
by equatitg this term
120 = 30x ( X = number of tablets )
X = 4 tablets
When conducting a survey, which of the following is a reason to use a random sample?1. To make cause-and-effect connections2. To avoid bias3. No answer text provided.4. To systematically favors the correct choice over every other choice on each question
Answer: 2. To avoid bias
Explanation:
The random sampling can be defined as the method of selecting the samples from the population of interest randomly. The main advantage of this method is to select the samples from the target population and eliminating the bias in sampling. The random sampling is least choice of sampling for research purpose as the researcher wants to choose only selected desired samples for the study.
Equivalent expression to 3y+4-6y-2
Answer : the answer is -3y + 2
A function is described by the following ordered pairs: (7, 4.5) (–4, 7.2) (–7.2, –4) (5.2, 3) Which set of ordered pairs represents the inverse of the function? (7, –4), (–7.2, –4), (3, 5.2), (4.5, –4) (7, –4), (–7.2, 5.2), (4.5, 7.2), (–4, 3) (4.5, 7), (7.2, –4), (–4, –7.2), (3, 5.2) (7, 4.5), (–4, 7.2), (–7.2, –4), (5.2, 3)
Answer: (4,5,7) ,(7.2,-4),(-4,-7.2),(3,5.2)
Step-by-step explanation:
Answer:
it's C
Step-by-step explanation:
A club has 16 girls and 8 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
Answer: 8
Step-by-step explanation:
how many is 18 thousands x 10
Please answer I will make you Brainliest The answer is not Carribean Plate!
Answer:
I am implying that the correct answer would be A, The Pacific plate.
Step-by-step explanation:
The Australian, Nazca and Pacific plates move up to four times faster than the smaller African, Eurasian and Juan de Fuca plates.
The 3 fastest plates:
Australian plateNazca platePacific plate