Answer:
Step-by-step explanation:
We need a system of equations to solve for this. The first equation comes from "The difference between 2 numbers is 12". Difference means subtraction, the 2 numbers will be x and y, and the word "is" means equals:
x - y = 12
The second equation comes from "...their sum is 26". The numbers are still x and y but this time we have their sum, which is what they equal when they are added together. The word "is" means equals:
x + y = 26. So we will go back up to the first equation. If y taken away from x leaves a positive number, that means that y is smaller than x. We are looking for the value of the smaller number so we will find y. Solve the first equation for x to get it in terms of y:
x = 12 + y and we sub that into the second equation:
(12 + y) + y = 26 and
12 + 2y = 26 and
2y = 14 so
y = 7. Choice B is the one you want.
Hi, may someone help me with this question? Thank you!:)
“If f(x) = x^2 + 7, find f(x+2)”
Answer:
=x^2 +4x+11
Step-by-step explanation:
f(x) = x^2 + 7,
Replace x with x+2
f(x+2) = (x+2)^2 + 7
= (x+2)(x+2) +7
FOIL
= x^2 +2x+2x+4 +7
Combine like terms
=x^2 +4x+11
Answer:
[tex]f(x+2)=x^2+4x+11[/tex]
Step-by-step explanation:
In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.
In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:
[tex]f(x+2)=(x+2)^2+7[/tex]
Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],
[tex]f(x+2)=x^2+4x+4+7[/tex]
Combine like terms:
[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]
Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
Answer:
D (4, 2)
Step-by-step explanation:
adding equation 1 and 2,
5x = 20
x = 4
Hence y = 2
Hence its D
Answer:
b (5,3)
Step-by-step explanation:
PLEASE HELP ASAP!!!
solve for the given variable and show your work. 3a-12b=30. solve for b.
Answer:
b=(-10-a)/4
First factor out the common number:3
Then divide both sides by 3
Then simplify 30/3 to 10
Then subtract a to get your answer
What is the answer to this question
Answer:
24 [tex]m^{2}[/tex]
Step-by-step explanation:
Area of parallelograms is :
A = b x h
The height must be a line perpendicular to the base.
The slant measuring 5 is not perpendicular to the base.
A = 6 x 4
A = 24
Work out the height of this triangle with base, b = 8mm and
area, A = 218.8mm?,
Answer:
54.7 mm
Step-by-step explanation:
use the formula area= 1/2 base time height
A=1/2bh
Answer:
54.7mm
Step-by-step explanation:
Area=1/2b×h
218.8=0.5×8×h
218.8=4h
h=218.8÷4
h=54.7
please someone help I know the answer but I don't know how to place it on the scales below. (15 Points)
Given:
a. 35% of 150 g
b. 113% of $55
To find:
The correct values for the given blanks.
Solution:
a. 35% of 150 g
Here, the percent part is 35% and percent whole is 100%.
35% of 150 g is:
[tex]\dfrac{35}{100}\times 150=52.5[/tex]
So, the number part is 52.5 g and the whole number is 150 g.
Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.
b. 113% of $55 g
Here, the percent part is 113% and percent whole is 100%.
113% of $55 is:
[tex]\dfrac{113}{100}\times 55=62.15[/tex]
So, the number part is $62.15 and the whole number is $55.
Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.
Quadrilateral A B C D is shown. All sides are congruent. Angle C is a right angle.
Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.
Answer:
The first one and last one
Step-by-step explanation:
Answer:
1,2,5
Step-by-step explanation:
got it right on edge
1. Another way to think of your net earnings is
the overtime request
the employee discount
the quota that is filled
the amount of your paycheck
Answer:
amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.
Does the graph of the straight line with slope of -3 and y-intercept of -4 pass through the point (-2, 2)?
Answer:
abcdefghijklmnopqrstuvwxyz
Answer:
yes
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 and c = - 4 , then
y = - 3x - 4 ← is the equation of the line
To determine if (- 2, 2) lies on the line, substitute x = - 2 into the equation and if y equals 2 then the point lies on the line.
y = - 3(- 2) - 4 = 6 - 4 = 2 ← true
Then the line passes through (- 2, 2 )
Find x
Help me please
I'll give you 13 points if it's correct
which relation is a function?
The first one because there is only one y value for every x value. The correct option is first.
To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.
In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.
Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.
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The following figures are not drawn to scale but AB and CD are straight lines. Find x:
Answer:
180=170+4x
180-170=4x
10=4x
2.5=x
Help please I’m so lost on this. I really need help. I can’t get any of the questions ):
Answer:
35 miles
Step-by-step explanation:
You add all of the miles on the chart up to get a final answer of 35 miles. Have a great day!
PLEEAASSEEEE HELP ME. IM ABOUT TO GET A REALLY BAD GRADE AND MY PARENTS WILL GET SO MAD I REALLY NEED HELK PLEASW
An absolute value graph looks like a V. If the number attached to the x is positive, then the graph opens upwards. If the number attached to the x is negative, then the graph opens downwards.
In this case, the graph opens downwards.
To find the vertex, look at the |x - 1| part of the equation. This tells us that x is shifted 1 to the right (opposite of the sign). And, the 3 outside of the absolute value bars tells us that the graph is also shifted up 3. Therefore, the vertex is (1, 3).
Next, we need to figure out how to graph it. That's where the -2 in front comes in. We know the graph faces downwards already. So, from the vertex, we will go down 2 spaces and left or right 1 depending on the side you are working on. Continue this pattern just like you would graphing the slope of a regular line, but this one is two sided.
If you need to view the graph for further help, I would recommend an online graphing calculator such as Desmos.
Hope this helps!
Please attach a photo of your solution
Answer:
0.000081
=8.1x10-⁵
0.0000386
=3.86x10-⁵
see in picture
Find the constant of proportionality (r) in the equation y=rx
Answer:
0.1
Step-by-step explanation:
r = y/x
r = 1.4 / 14 = 0.1
there are 260,000 45-years Based on the table below how many are not expected to be alive in a year
Answer:
117,000
Step-by-step explanation:
45% of 260,000
= 9/20 of 260000
= 260000/20 =13000
= 13000*9
= 117,000
So the amount of people who are not alive is 117000
The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.
What is Expected value in Statistic?The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.
The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.
According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:
= 315/100,000.
So, the expected number of deaths in the year is
E(X) = 260,000 x 315/100,000
E(X) = 2.6 x 315
E(X) = 819.
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Which of the following is most likely the next step in the series?
А.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon
find the angles of the triangle if they are proportional to the following 3 4 5
Answer: 90, and 1600 degrees.2500
Step-by-step explanation:
If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X
Step-by-step explanation:
Answer:
45 60 75
Step-by-step explanation:
Let's call the angles 3 x , 4 x and 5 x
They must add up to 180 o in a triangle, so:
3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:
3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:
45 + 60 + 75 = 180
x² -23n +132 pls help
Answer:
(x-11)(x-12)
Step-by-step explanation:
To clarify, there was a likely typo written in your question since it is impossible to solve two unknown values with only one equation. I'm supposing that the equation was supposed to be
[tex] {x}^{2} - 23x + 132[/tex]
The first step is to split the term into factorable terms.
Since the highest power is power of 2, the equation would look like this if factorized:
[tex](ax + b)(cx + d)[/tex]
If the terms were added properly, the expanded equation would be:
[tex](ac \times {x}^{2} ) +( (ad + bc) \times x) + (bd)[/tex]
Generally, we do not see decimal values or fractions in factorization with some exceptions. Otherwise, the equation could get very complicated.
In this case, we can determine the following:
[tex]a \times c = 1[/tex]
[tex](a \times d) + (b \times c) = - 23[/tex]
[tex]b \times d = 132[/tex]
First, we can determine a and c to be one since one only has one factor, which is itself.
This leaves us with two equations left
[tex]b + d = - 23[/tex]
[tex]b \times d = 132[/tex]
There are two ways to solve the remaining two terms. We can either find the factors or do quadratic equation. Finding the factors is the easier way out here.
b and d will add up to negative values but multiplying these values give positive values. The most likely reason is that b and d are negative values.
Now, we can find the factors of 132.
The factors are 1, 2, 3, 4 , 6, 11, 12, 22, 33, 44, 66 and 132. However, the values flip around.
In fact, the "factors" we are looking for are the negative values of the actual factors. To solve this, we should find two factors that add up to 23.
In this case, 11+12=23.
To verify, 11*12 is also 132.
Since we are looking for the negative values, the values we are looking for are -11 and -12.
The values can be plugged in anywhere in b or d.
After cleaning up, we can plug in the values into our factorization and we will get:
[tex](1x - 11)(1x - 12)[/tex]
or
[tex](x - 11)(x - 12)[/tex]
Help multiple choice
Answer:
the first one
Step-by-step explanation:
find x. need help w these 2, thanksss!
Answer:
f) 11
g) 75
please correct me if I am wrong
75% of bis 12. What is b?
Answer:
9
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
75=75/100=3/4
3/4*b=12
b=12/1*4/3
You received your first credit card with a spending limit of $2,000 at 18.9% interest. You decide you need to upgrade your sound system in your car, so you are going to buy this great deal. The next month you receive your credit card statement and you now owe $2,000. You are able to pay the minimum payment of $100 each month. If you continue paying only $100 each month, how long will it take you to pay off your credit card debt?
Answer:
It will take approximately 25 months
Step-by-step explanation:
The amount owed on the credit card statement, P = $2,000
The interest rate of the credit on the credit card, r = 18.9%
The minimum monthly payment made, M = $100
The equal monthly installment formula is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Therefore, we get;
[tex]100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}[/tex]
100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ
100×1.01575ⁿ - 31.50×1.01575ⁿ = 100
68.5×1.01575ⁿ = 100
1.01575ⁿ = 100/68.5
n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)
Therefore, it will take approximately 25 months to pay off the credit card debt
pls help w explanation!!!
At her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout. Last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?
Answer:
The possible values of W are 5, 6, and 7.
Step-by-step explanation:
Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:
190 - (3 x 30) = X
190 - 90 = X
100 = X
100/2 = 5
140/2 = 7
Therefore, the possible values of W are 5, 6, and 7.
PLS HELP I WILL GIVE BRANLIEST JUST PLS QUICKK
Charles has five 1 pound bags of different color sands. For an art project, he will use 3/8 pounds of each bag of sand to create a colorful sand art jar. How much sand will be in Charles's sand art jar?
What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24
Answer:
21x^7y^11.
Step-by-step explanation:
:D
A bus leaves Riverside for Springfield and averages only 48 mph. Ten minutes later Smith leaves Riverside for Springfield traveling 64 mph in his car. How long before he overtakes the bus?
Answer:
pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter
Step-by-step explanation:
Smith overtakes the bus at (2/3)×60=40 minutes
What is speed?
A body is said to have speed v if he travels v distance in unit time.
How to solve it?Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).
Smith needs t-1/6 hours to reach the same position that the bus is in.
Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.
Because 10 minutes is equal to 10/60=1/6 hour.
So,
48×t=64×(t-1/6)
⇒t=2/3
Hence, Smith overtakes the bus at (2/3)×60=40 minutes
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Barry has 17 more than two-thirds of the number of cards in his brother's baseball card collection. If x represents the number of baseball cards his brother has, which expression represents the number of baseball cards Barry has? Two-thirds x minus 17 Two-thirds x + 17 17 x minus two-thirds 17 x + two-thirds
Answer:
B. Two-thirds x + 17
Step-by-step explanation:
Let
x = number of baseball cards his brother has
two-thirds of the number of cards in his brother's baseball card collection = 2/3x
Barry = 2/3x + 17
A. Two-thirds x minus 17
= 2/3x - 17
B. Two-thirds x + 17
= 2/3x + 17
C. 17 x minus two-thirds
= 17x - 2/3
D. 17 x + two-thirds
= 17x + 2/3
The correct answer is
B. Two-thirds x + 17
Answer:
It's B
Step-by-step explanation:
I got a 100 on my test
Find the measure of the missing angle using exterior angle sum theorm
Answer:
35
Step-by-step explanation:
The exterior sum theorem states the exterior angle is equal to the sum of the opposite interior angles
145 = ?+110
145 - 100 = ?
35 = ?
