Answer: 3
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so AD=BC.
[tex]3x+5=8x-10\\5=5x-1015=5x\\x=\boxed{3}[/tex]
Which choice belongs in space 5!!!
Use the given values to complete the table for the function below
y=2x^2+8x-5
PLEASE HELP!! 50 POINTS!!!!!
Answer:
3\2 is the marked
y cos x,=2
3\2=0.5
x=0.5*2=3.0
=3.0*2=6.0
Please help me, I really appreciate it! Thanks!
Answer: See the attached images below.
The steps and explanations are on those screenshots, so there's not much for me to mention right here on this main page. The decimal results are approximate to 6 decimal places. Make sure your calculator is in degree mode.
√34=
need some solution please
Answer:
34 1/2
Step-by-step explanation:
When Famke charges her phone, it gains 2 percentage points each minute. When Famke uses her phone, it loses 5 percentage points each minute. Once, Famke used her phone for some time, and then charged it for twice the amount of time she used it. In the end, her phone lost 10 percentage points. How long did Famke use her phone and how long did she charge it?
9 + 4(x + 2) - 3x
What is the term for best describes 3
An expression is defined as a set of numbers, variables, and mathematical operations. The term that best describes 3 is coefficient.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of 3 in the expression, 9 + 4(x + 2) - 3x, is that it is the coefficient of x in the third term.
Hence, the term that best describes 3 is coefficient.
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A system of two linear inequalities is graphed as shown, where the solution region is shaded. Complete the sentences below by determining whether each point is, or is not. located in the solution region.
The point (-3.2)
The point (-7.5)
The point (2.-5)
The point (-14,6)
All the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.
Therefore all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0). x – 3 x – 1 x 1 x 3
The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
What is a Polynomial Function ?A function in which there is only positive exponents to the variables are called polynomial function.
The missing image is attached with the answer.
It is given in the question
on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)
The zeroes of the polynomial function are the points at which the curve will cut x axis
For the given graph,
the curve cuts the x-axis at x = 1 and x = 6
the factors will be x - 1 and x - 6
Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.
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Answer:
B
Step-by-step explanation:
B
If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Answer:
x = 14
Step-by-step explanation:
given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
The population of center city is modeled by exponential function
The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.
The graph is given below.
We know that the exponential function is given as
y = abˣ
For x = 0, y will be 250,000
250,000 = a
For x = 40, y will be 400,000
400,000 = 250,000b⁴⁰
b = 1.0118
Then we have
y = 250,000 (1.0118)ˣ
Then the range of the exponential function will be y ≥ 250,0003.
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What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answer:
they are different in the equation
For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10
Answer:
a) 13
b) 1/3
c) -2
d) 1
Step-by-step explanation:
This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:
For example:
f(x) = 3x + 7
f(2) = 3(2) + 7
f(2) = 6 + 7
f(2) = 13
________
f(-3) = 3x + 7
f(-3) = 3(-3) + 7
f(-3) = -9 + 7
f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.
f(-3) = -2
The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:
For example:
f(x) = 8
f(x) = 3x + 7
8 = 3x + 7
8 - 7 = 3x
1 = 3x
x = 1/3
f(x)= 10
f(x) = 3x + 7
10 = 3x + 7
10 - 7 = 3x
3 = 3x
3/3 = x
1 = x
I hope this helps!
For a science project, billy observed a chipmunk and a squirrel stashing acorns in trees. the chipmunk hid 3 acorns in each tree. the squirrel hid 4 acorns in each tree. they each hid the same number of acorns, although the squirrel needed 2 fewer trees. you are going to investigate the number of acorns that each animal hid.
The number of acorns that each animal hid is 48
What is an Equation ?An equation is formed when two algebraic expressions are equated by an equal sign.
It is asked to calculate the number of acorns that each animal hid.
Total number of acorns hid = number of acorns hid per tree * number of trees
Let T be the number of trees chipmunk used
For chipmunk: = 3*T
For squirrel: = 4*(T-4)
As both the animals hid same number of acorns.
3T = 4(T-4)
3T = 4T - 16
16 = T
Therefore the chipmunk hid 16 * 3 = 48 acorns
and the squirrel hid 4(16-4) = 48 acorns.
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True or false? The graph represents a function
Answer:
true
Step-by-step explanation:
The statement is true because every graph associated a unique x-value for each y - value
The table represents the function f(x).
The value of f(3) is 9
How to determine the value of f(3)?The table that completes the question is added as an attachment.
From the complete table, we have:
When x = 3, the value of the function is 9
This means that:
f(3) = 9
Hence, the value of f(3) is 9
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Which list correctly orders A, B, and C from least to greatest when A=171, B = -6, and C=1-51?
A, B, C
B, C, A
C, B, A
A, C, B
Find the sum.
(12x5 - 3x¹ + 2x - 5) + (8x¹ − 3x³ + 4x + 1)
Answer:
[tex]\left(12x^5-3x^1+2x-5\right)+\left(8x^1-3x^3+4x+1\right)[/tex]
=> Expand
[tex]12x^5-3x^1+2x-5+8x^1-3x^3+4x+1[/tex]
=> simplify and group like terms
[tex]12x^5-3x^3+5x^1+6x-4[/tex]
=> simplify further
[tex]12x^5-3x^3+11x-4[/tex]
Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b
The average vehicle releases 1.39 grams of nox per mile driven. if a vehicle is driven 22,000 miles per year for 15 years, how much nox does that vehicle release
In 15 years, the average car releases 458.7 kilograms of nox.
How much nox does that vehicle release?
We know that the average vehicle releases 1.39 grams per mile driven.
And, in average, that car drives 22,000 miles per year.
So in a year, a car releases:
M = (22,000)*1.39 g = 30,580 g = 30.58 kg
In one year, the average car releases around 30.58 kilograms of nox.
Then in 15 years, the car releases 15 times that amount, then we have the product:
T = 15*30.58 kg = 458.7 kg
In 15 years, the average car releases 458.7 kilograms of nox.
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Use the given information to determine which of the following relationships
can be proved and why.
ZL= 20
ZME P
M
Answer:
C. ∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.
__
congruenceNo sides are given as congruent, so no congruences can be proved.
similarityTwo pairs of corresponding angles are said to be congruent, so we can say ...
∆LMN ~ ∆OPQ, because of AA
Solve the system of equations.
8x – y = 8
8x2 – y = 8
(0, 8) and (0, –8)
(1, 0) and (0, –8)
(2, 8) and (1, 0)
(3, 16) and (2, 24)
Answer:
(1, 0 ) and (0, - 8 )
Step-by-step explanation:
8x - y = 8 → (1)
8x² - y = 8 → (2)
since both equations are equal to 8 then equate the left sides
8x² - y = 8x - y ( subtract 8x - y from both sides )
8x² - 8x = 0 ← factor out 8x from each term
8x(x - 1) = 0
equate each factor to zero and solve for x
8x = 0 ⇒ x = 0
x - 1 = 0 ⇒ x = 1
substitute these values into (1) and solve for y
x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒ (0, - 8 )
x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )
what is the volume of a sphere with an 8 cm radius
Answer:
Approx. 2140.16 cubic centimeters
Step-by-step explanation:
[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]
The measure of an angle is 153°. What is the measure of its supplementary angle?
Answer:
27
Step-by-step explanation:
Supplementary angles add up to 180 degrees
So to find the measure of an angle supplementary to a given angle, we simply subtract the given angle from 180
The given angle here has a measure of 153 degrees
So the angle's supplement has a measure of 180 - 153 = 27 degrees.
The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
This is an equilateral triangle, therefore, all the angles are 60 degrees.
3 times 60 is 180.
180 is the answer
(06.03 HC)
Solve the following system of equations. Show all work and solutions.
y = 3x2 + 6x + 4
y = −3x2 + 4
By solving the two quadratic equations we found the values (0,-1).
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given equations are;-
y = 3x² + 6x + 4y = -3x² + 4The two equations are solved by equating them and finding the value of x.
3x² + 6x + 4 = -3x² + 4
6x² + 6x = 0
6x ( x+1 ) = 0
6x = 0 so x = 0
( x+1 ) = 0 so x = -1
Therefore solving the two quadratic equations we found the values (0,-1).
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(Refer to the attached image)
[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Given following:
A = 56°B = 77°a = 38 mb = ? mSolve for b (distance between school and mall):
[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]
[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]
[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]
There is a set of 10 jobs in the printer queue. One of the jobs in the queue is called job A. How many ways are there for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish
The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!
How to solve permutation and combination?We are told that;
There is a set of 10 jobs in the printer queue.
One of the jobs is job A. Thus, there are 9 other identified jobs.
Number of ways to order this nine jobs = 9!
Since the job A has to be ordered first or last, then;
Number of ways to order job A = 2 ways.
Thus;
Total number of ways to order the jobs in the given order = 2 * 9!
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John believes that the amount of sleep he gets the night before a test and his score on that test are inversely related. On his first exam, he got eight hours of sleep and scored 70 on the exam. To the nearest tenth, how many hours does John believe he must sleep the night before his second exam so that the average of his two exam scores is an 80?
Answer:
Step-by-step explanation:
ohn will need to sleep for 10.3 hours before his second exam so that the
he average of his two exam scores is an 80.
We were given
8 hours of sleep = 70
To get an average of 80
70+ x = 80
2
Cross multiply:
70+x = 160
x= 160-70
= 90.
If 8 hours of sleep = 70
x hours of sleep = 90
Cross multiply
8× 90 = 70 × x
720 = 70x
x = 720/70
x = 10.2857
≈ 10.3 hours of sleep
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes
Answer:
A.
Step-by-step explanation:
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes