Answer:
A. 14x⁴ - 18x³ + 43x² + 24x - 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpandingStep-by-step explanation:
Step 1: Define expression
(7x + 5)(2x³ - 4x² + 9x - 3)
Step 2: Expand
Distribute 7x: 14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5: 14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms: 14x⁴ - 18x³ + 43x² + 24x - 15Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.
This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.
Which text feature would best help readers understand important details in this excerpt?
a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building
Answer:
B. a picture of Knife Edge Mirror Two Piece
Step-by-step explanation:
pls give brainliest, u don't have to
Did it on edge, hope u have a good day :)
Answer:
b
Step-by-step explanation:
can you solve what is 31 x 1/8
Answer:
3 6/8
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
For the function F defined by F(x)=x2−2x+4, find F(−2).
Answer:
F(-2) = 12
Step-by-step explanation:
F(-2) = (-2)²- 2(-2) + 4
= 4 - (-4) + 4
= 4 + 4 + 4
= 12
The required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
A quadratic function is given F(x) = x² − 2x + 4, value of the function is to be determined at x = -2.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
F(x) = x² − 2x + 4
Above given function is a quadratic function,
in order to find F(-2) , we have to put x = -2 in above given function.
F( -2 ) = ( -2 )² − 2( -2 ) + 4
F( -2 ) = 4 + 4 + 4
F( -2 ) = 16
Thus, the required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
Learn more about polynomial function here:
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find a factor of 5x^2+ 27x - 56
Which of the relations below is a function?
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), (3, 4), (6,2), (7,3)}
Answer:
k
Step-by-step explanation:
dw
Answer:
K
Step-by-step explanation:
Dw. Please give me like
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 7.5 inches. A) What is the probability that a randomly chosen child has a height of less than 62.95 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 44.4 inches? Answer= (Round your answer to 3 decimal places.) Calculator Submit Question Question 10
Answer:
A) 0.889
B) 0.895
Step-by-step explanation:
Mean of 53.8 inches, and Standard deviation of 7.5 inches.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
A) What is the probability that a randomly chosen child has a height of less than 62.95 inches?
For x < 62.95
z = 62.95 - 53.8/7.5
z = 1.22
Probabilityvalue from Z-Table:
P(x<62.95) = 0.88877
Approximately = 0.889
B) What is the probability that a randomly chosen child has a height of more than 44.4 inches?
For x > 44.4 inches
z = 44.4 - 53.8/7.5
z = -1.25333
Probability value from Z-Table:
P(x<44.4) = 0.10504
P(x>44.4) = 1 - P(x<44.4) = 0.89496
Approximately = 0.895
5x + 2y = 6
Finding slope
Answer:
−5 /2 x + 3
Step-by-step explanation:
which of the following is an important step in the formation of a fossil
a.) the organism must be a reptile
b.) the organism must be buried quickly
c.) the organism must die of natural cause
d.) the organism must not have any fur
Answer:
b
Step-by-step explanation:
After a bone, wood fragment, or shell is buried in sediment, it may be exposed to mineral-rich water that moves through the sediment. This water will deposit minerals into empty spaces, producing a fossil. Fossil dinosaur bones, petrified wood, and many marine fossils were formed by permineralization.
Answer: fossils can be formed only when a living thing is buried soon after it dies. If it is not buried soon enough, it decays. For this reason, most fossils are found in sedimentary rocks that were once under water.
Step-by-step explanation:
Vivian earned $540 last month. She saved 30% of this money. How much did she save?
Answer:
$162
Step-by-step explanation:
Step 1: Multiply 540 by .3 (convert 30% to a decimal)
540 x 0.3= 162
GIVING BRAINLIST PLEASE HELP (see picture above) !!!!
Answer:
Im sure that the answer is c
Answer:
C) 1 and 2
Plzzzz give me Brainliest!!!!!
Caroline and Sarah in some money and share it in the ratio 2:1. Caroline gets £45 more than
Sarah How much did Sarah get ?
Answer:
£22.5
Step-by-step explanation:
We would have to split the ratio to 45:45/2 as 2:1 is 2:2/2
Which would give us the answer 45:22.5
Sarah got £22.5
equation or expression
Answer:
The first is equation the second is expression the third is expression and the fourth is equation
Step-by-step explanation:
equations have equal signs and expressions dont
What is sin45°*sin30°*cos60°
Answer:
[tex]\frac{\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]
What’s the answer to this? Pls and thank you!
Answer:
Answer choice D
Step-by-step explanation:
You can see that the triangles have dashes on them. side DE has two and side AB also has 2. If you rotate triangle ABC, you can also see that AB and DE are congruent.
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 2y = x + 2 x - 3y= -5 O A. (2, 2) O B. (4,3) O C. (6,4) O D. (8,5)
Answer:
(4,3)
Step-by-step explanation:
2y = x + 2
x - 3y = -5
Rearrange the second equation to equal y.
x - 3y = -5
x + 5 = 3y
(x+5)/3 = y
Substitute into the first equation.
2y = x +2
2[(x+5)/3] = x + 2
(2x + 10)/3 = x + 2
2x + 10 = 3(x + 2)
2x + 10 = 3x + 6
10 - 6 = 3x - 2x
4 = x
Therefore, the correct ordered pair is (4,3) since x is equal to 4.
HELPPP
Solve the equation
log (2x-3)=2
Answer:
2.5 or 5/2
Step-by-step explanation:
2x-3=2
2x=5 (both sides plus 3)
x=5/2 or 2.5(divid by 2 on both sides)
Which function will have the steepest graph? O y=-2x O y=-* Oy = 3 x 2 2 Oy=
Answer:
Step-by-step explanation:
Y = 5/2x on edge
The steepest graph is given by y= 5/2x.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
First, y= -2x
Here the slope is -2.
Second, y = -1/2 x
Here the slope is -1/2.
Third, y= 3/2x
Here the slope is 3/2 or 1.5
Fourth, y= 5/2x
Here the slope is 5/2 or 2.5
As, we know A steeper slope in a graph means that the rate of change is faster.
Then, y= 5/2x have steeper slopes.
Learn more about Slope here:
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What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Answer:
(-4,7)
Step-by-step explanation:
(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)
What is the ratio of 3:6
Answer:
1:2
Step-by-step explanation:
You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.
Answer:
1:2
Step-by-step explanation:
Simplifying a ratio is like simplifying a fraction.
Simply put the number to the left as the numerator, and the number to the right as the denominator.
In this case, 3/6 = 1/2.
Hence, plug the numbers right back in and you get 1:2.
Hope this helped!
4x +5y =24
2x+7y=21
Answer:
x = 3.5, y = 2
Step-by-step explanation:
This is a system of equations.
Original equations:
[tex]4x+5y=24\\3x+7y=21[/tex]
Substitute y and solve for x:
→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]
Substitute the value for y and simplify:
→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]
→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]
Multiply by 5 on both sides
→ [tex]10x + 168-28x = 105[/tex]
Simplify → [tex]-18x = -63[/tex]
→ [tex]x = 3.5[/tex]
Plug in the value for x into either equation:
→ [tex]4*3.5 + 5y=24[/tex]
→ [tex]14+5y=24[/tex]
→ [tex]5y=10[/tex]
→ [tex]y=2[/tex]
Find the value of x so that f(x)=7.
Answer:
f(x) = 7 . x=1 .
is x + 8 ≥ 18 a closed or a open circle
Answer:closed
Step-by-step explanation:
A drawer contains 23 black socks comma 23 white socks comma and 23 blue socks23 black socks, 23 white socks, and 23 blue socks. If the light is off and Matt reaches into the drawer to get his socks, what is the minimum number of socks he must pull out in order to be sure that he has a matching pair?
Answer:
1/3 × 6 = 2
Step-by-step explanation:
Probability of picking out a color is
23/138 + 23/138 = 46/138 = 23/69 = 1/3
You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)
Answer:
I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number
Step-by-step explanation:
5, 11, 17, 23, 29, 35. (Difference of 6)
4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)
As for the formulas I’m not sure, but I I would guess something like
an=6n-1
an=n/4
I am not sure about the formulas though
Modeling With Systems of Equations Quick Check
1 of 5Items
Assessment started: Modeling With Systems of Equations Quick Check.
Item 1
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Step-by-step explanation:
i need help with my homework
Answer:
(A = 2,3)(B = -2,-5)(C = 4,4)(D = -6,8)(E = 8,-6)(F = -8,-6)(G = 3, 2.5)
what the slope of (15,9) (-10,3)
Answer: 0.24
Step-by-step explanation: m = -6 / -25 = 0.24
Answer:
0.24
Step-by-step explanation:
cuz m = -6 / -25 = 0.24
hope this helps am in 8th grade and plz pick me as brainless
Multiply
6 2/3 * 3 6/7
Answer:
180/7 or 25 5/7
Step-by-step explanation:
20/3 * 27/7
cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.
So the answer come out.
180/7 or 25 5/7
What’s the greatest common factor of 36 , 48, an 80?
Answer: 4
Step-by-step explanation:
36,48,80
80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
whoever answers first with an answer & explanation gets brainliest! iz a really easy question but you just have to be the fastest! The question is 2+2=? (btw imma come back in half an hour to award the brainliest)
Answer:
4
Step-by-step explanation:
Because if you have 2 apples and add 2 apples to that, you'll have a total of 4.
Answer:
4
Step-by-step explanation: thank you