Answers
Related Questions
6.
Ahmad claims that the difference of squares method of factoring can be used even when the values aren't perfect squares. An example of his thinking is shown.
Answers
Answer:
Below.
Step-by-step explanation:
a. (x - √5)(x + √5)
= x(x + √5) - √5(x + √5)
= x^2 + √5x - √5x - 5
= x^2 - 5.
b. 10 - 3x^2
= (√10 - √3x) (√10 + √3x)
(a) Ahmad's factorization is correct.
(b) (√10 - √3x)(√10 + √3x)
Given equation as
x² - 5 = (x - √5)(x + √5)
What is a Perfect Square?
A Perfect Square is defined as when multiplying an integer by itself, we get a perfect square, which is a positive integer. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.
Solution of (a)
Taking RHS from the given equation
⇒ (x - √5)(x + √5)
⇒ x(x + √5) - √5(x + √5)
⇒ x² + √5x - √5x - 5
⇒ x² - 5.
So, RHS = LHS
Hence, Ahmad's factorization is correct.
Solution of (b)
⇒ 10 - 3x²
According to Ahmad's strategy
⇒ √10(√10 + √3x) - √3x(√10 + √3x)
⇒ (√10 - √3x)(√10 + √3x)
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A fundraiser was held to split the profits between the 9 baseball players. How much money was raised if each player earned $326? Construct a division equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
Answers
Answer:
Part 1
The number of baseball players that are to split the profits = 9 baseball payers
The amount of money each player earned = $326
Let x represent the total amount of money raised, and given that each baseball player received equal amount of the profits we have the following division equation;
[tex]The \ division \ equation \ is , \dfrac{x}{9} = \$ \, 326[/tex]
Part 2
Solving for the variable, gives;
x = 9 × $ 326 = $2,934
The amount of profits from the fundraiser, x = $2,934
Part 3
The amount, A, each of the 9 players will earn from the profit of $2,934 raised in the fund raiser is given as follows;
A = $2,934/9 = $326
∴ The amount each of the 9 players will earn, A = $326, therefore the answer corresponds to the value in the question and is therefore, correct
Step-by-step explanation:
We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 102 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Answers
Answer:
The answer is "[tex]0.34 \pm 0.060[/tex]".
Step-by-step explanation:
Point estimate = Sample proportion [tex]= \frac{102}{300}= 0.34[/tex]
For [tex]95\%[/tex] confidence, [tex]z = 1.96[/tex]
Hence,
Margin of error[tex]= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308 = 0.060[/tex]
Therefore,
Confidence interval in the tri-equality form:
[tex]\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4[/tex]
Confidence interval using point estimate and margin of error:
[tex]p = 0.34 \pm 0.060[/tex]
The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10
Answers
Answer:
F. m/10.
Step-by-step explanation:
10 miles = 1 inch
1 mile = 1/10 of an inch so
m miles = m/10 inches.
Pls help and fast! 17 points!
Answers
Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
5. Dylan walks into a video arcade with a pocketful of quarters. He spends them
at a rate of nine every half hour until he runs out. If the amount of quarters Dylan
has is graphed over time, which feature of the graph corresponds to Dylan's
initial amount of quarters, before he spends the first one?
The y-intercept
The slope
The x-intercept
The minimum value
Answers
Answer:
The y-intercept
Step-by-step explanation:
Have a good day :)
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answers
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
please answer this question!!
Answers
Answer:
a
Step-by-step explanation:
all angles of an equilaterall triangle are equal therefore 180÷3 = 60
The volume of a sphere is 3,000π m3. What is the radius of the sphere to the nearest meter?
Answers
Answer:
13m
Step-by-step explanation:
volume of sphere = [tex]\frac{4}{3} * pi * r^{3}[/tex] = 3000π
4r^3/3 = 3000
r^3 =2250
r = ∛2250 = 13.10370 = 13
Answer:
Radius of the sphere is 13.1 m.
Step-by-step explanation:
Volume:
[tex]{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}[/tex]
Substitute:
[tex]{ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}[/tex]
Find the value of x.
A. 31
B. 25
C.5
D. 11
Answers
Answer:
D) 11
Step-by-step explanation:
Explanation:
Segment AC is the midsegment of the trapezoid (since A and C are midpoints of DE and FB respectively)
This means that AC is the average of the two parallel bases EB and DF
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
The value of x is 11.
What is mid point theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.
In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:
Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,
(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )
This is known as the midpoint theorem formula.
As, A and C are midpoints of DE and FB respectively
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
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What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
27
36
Answers
Answer:
x = 9
Step-by-step explanation:
we can plug in the given value for y into the equation to find x
2x + 3y = 36
2x + 3(6) = 36
2x + 18 = 36
2x = 18
x = 9
Answer:
x = 9
Step-by-step explanation:
2x + 3y = 36
Let y=6
2x+3(6) = 36
2x+18 = 36
Subtract 18 from each side
2x+18-18 =36-18
2x = 18
Divide by 2
2x/2 =18/2
x = 9
Given the preimage and image, find the dilation scale factor
Answers
Answer:
1/2
Step-by-step explanation:
the dilation factor should be 1/2
if u count the dots on the sides of the preimage there are 2 dots that's the length if u count the dots on the real image it's 4therefore 2/4 to it's lowest term is 1/2 so 1/2 is the scale factorAnswer:
should be 1/2 as your answer
To qualify for a certain car loan, a customer must have a credit score of at least 600. In addition, the cost of the car must be at least $5000. Define the variables, write a system of inequalities to represent this situation, and name one possible solution.
Answers
Answer:
c ≥ 600
p ≥ 5000
Step-by-step explanation:
Let :
credit score = c
Cost of car, p
To qualify :
Credit score must be atleast 600 ;
c ≥ 600
Cost of car must be atleast 5000
p ≥ 5000
Which segment is parallel to ED?
Answers
Answer:
AB
Step-by-step explanation:
The segments that are parallel need to be in the same direction ( up and down)
The segments that are parallel are FH, AB, GC
Answer:
AB
Step-by-step explanation:
since is a cube all of the angles are 90 degees and this only possibel whn the line That a vertical a parrelllt to each other
In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
Answers
Answer:
17
Step-by-step explanation:
Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so
[tex]50 + x + x = 180[/tex]
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 65[/tex]
This means angle b and C of the triangle ABC measure is 65.
External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.
This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so
[tex]32.5 + 65 + x = 180[/tex]
[tex]98.5 + x = 180[/tex]
[tex]x = 81.5[/tex]
Angle C is 81.5 as well so
[tex]81.5 + 81.5 = 163[/tex]
Find angle o
[tex]180 - 163 = 17[/tex]
5.3.8 Higher / Lower 2.0
Answers
Answer:
Higher...
Step-by-step explanation:
5.3.8 isn't really a legal number... if you meant 5.38 then it would be higher than 2. If you really meant 5.3.8 then I don't know.
Or is this code?
Say you have this: (sorry there's no indentation)
my_float = round(3.3312, 2)
while True:
guess = float(input("Guess my number: "))
if guess > round(my_float, 2):
print ("Too high!")
elif guess < round(my_float, 2):
print ("Too low!")
elif round(guess,2) == round(my_float, 2):
print("Correct!")
break
print("Great job guessing my number!")
You should be able to use the round function just like you do in the if statement. This can be done on a separate line between taking input and the if or it can be done on the same like.
guess = round(guess, 2)
Or:
guess = round(float(input(“Guess my number: “)), 2)
Hope this helped! Have a nice day!
resolute academy algebra 1
Answers
Answer:
B
Step-by-step explanation:
We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as
2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3
Comparing this with each answer, we have
A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct
B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure
C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect
D: [tex]\frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3[/tex]. This is incorrect
Answer:
C. 2(x + 10)(x - 10)
Step-by-step explanation:
2x^2-200\\2(x^2-100)\\2(x+10)(x-10)
The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
a. O 6x-7y+27 = 0
b. O 7x+6y-27 = 0
c. O 6x+7y-27=0
d. 0 6x+7 y+27 = 0
e. O -7x+6y+99 = 0
f.
No Answer
Answers
Answer:
0 = 7x-6y -99
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 7/6x+b
Using the point
-6 = 7/6(9) +b
-6 = 7*3/2 +b
-6 = 21/2 +b
Subtract 21/2 from each side
-12/2 -21/2 = b
-33/2 = b
y= 7/6x -33/2
Multiply each side by 6
6y = 7x - 99
Subtract 6y from each side
0 = 7x-6y -99
2. Find F(x)+g(x)
4 options to pick from
Answers
Answer:
first option
3x³ - 6x - 4
HOPE IT HELPS YOU
THANK YOU
Help plz!! Trig question
Answers
Answer:
5 meters tall.
Step-by-step explanation:
We know that angle A (the bird) is 55. The opposite side from this angle is 4.5 meters, since that is the distance she is from the tree. From this, we can set up an equation tan(55)=4.5/x and simplify it to x= 4.5/tan(55). This would be height x, but it is not accounting for the 1.5 meters the apple is off the ground, so you need to add 1.5 to the result. The final answer would be 4.65 but you need to round to the nearest meter so it would be 5.
There is a distance marker every 100 m and a pole every 80 m along a straight road. There is a distance marker and a pole together at the start of the road. How far along the road will there be a distance marker and a pole together again?
Answers
Answer:
At a distance of 400 m.
Step-by-step explanation:
From the information in the given question, a distance marker and pole are together at the start of the road.
Thus,
the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.
Also,
the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.
Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.
Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.
Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above
Answers
5+(-18x+15)5 + (-18x +15)5
5+ (-90x +75) + (-90x + 75)
-180x +155
let's see the alternatives:
a) -2000x - 2018 -> -200x - 201,8
b) -30x - 33 -> -180x -198
c) none of the above
so, c is the right one
hope it helps :)
Answer:
ITS C
Step-by-step explanation:
Find the missing segment in the image below
Answers
Answer:
Step-by-step explanation:
Plsss help asap plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
The answer is the last one, (X^2-2)/3!
Step-by-step explanation:
To get the inverse of a function, you switch the variables and solve for y. Doing this produces the last choice.
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves
Answers
Answer:
Ty = √k * Tx
The orbital period of Y has to be be multiplied by √k . or . k∧1/2
Step-by-step explanation:
The general equation:
T² = A³
is for the case of planet X
Tₓ² = Aₓ³
In the case of planet Y
Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²
By substitution:
Ty² = k *Tₓ²
Ty = √k * Tx
Answer:
D: K^3/2
Step-by-step explanation:
Just took the test and this is right
Angela works a basic week of 40 hours and her hourly rate of pay is $12.50. Calculate her weekly wage.
Answers
Answer:
$500
Step-by-step explanation:
Answer:$500
Step-by-step explanation:
To calculate the weekly wage, take the hourly rate and multiply it by the number of hours worked. For this question it would be:
$12.50 x 40
=$500
That is your weekly wage
Hope this helped! <3
pls pls pls help meeeeee
Answers
Answer:
i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3
Step-by-step explanation:
Find the area of the triangle.
PLEASE HELP ASAP!
Answers
Answer:
D 111.4 cm²
Step-by-step explanation:
2. Terrence is tracking his own grades. On his first quiz, he got 3 points correct out of 20
points possiblé, or 15%. On his second quiz, he got all 30 points correct.
a. How many points has Terrence earned so far?
SAS
b. How many total points were available on the two quizzes?
c. What is Terrence's percentage grade right now?
Answers
Answer:
a) 33
b) 50
c) 66%
Step-by-step explanation:
a) 3+30
b) 20+50
c) 33/50 * 100% = 66%
