Answer:
Part A: Factor out the GCF. In this case, the GCF is 2y. So it looks like
2 x^3 * y+18xy-10 x^2 * y-90y=2y (x^3 - 5 x^2 + 9x-45)
Part B: The result from above will need to be factored by grouping.
Part C: If you switch the terms, the factoring will work out differently, but at the end, the factorization will be the same.
Step-by-step explanation:
Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular
Answer:
1/6 is the slope since you have to flip it
Step-by-step explanation:
Answer:
The slope of a line perpendicular to the equation is 1/6 or x/6.This is perpendicular because it is the reciprical of the other equation
Step-by-step explanation:
y=-6x+4.
the slope intercept form is y=mx+b
m is the slope
m=-6
for the equation to be perpendicular then the slope is the reciprical
Knowing this lets find a line perpendicular to this equation
Equation:
y=1/6x+2/3
or
y=x/6+2/3
can someone help? exams are tomorrow and i have no clue how to do this problem?
Help me find the X! UwU..
Well all the angles in a triangle add up too 180º and this triangle is obviously a equilateral triangle (all sides are same) BUT as you see the other people saying X = 60º notice that it says 2 xº meaning that it is X x 2 so 60º is actually wrong :).
If it is X is 60º (since the 3 angles add together since it’s equilateral) then that would be 2 x 60º = 120º times 3 WHICH IS NOT 180.I think U get what I mean now,it’s 2 Xº; so X is 30 because 30 x 2 = 60º and 60 x 3 = 180º!
So Da Answer is X = 30º
Hope this helped :)
Have a great day!
Ifangle1∠ 1 and angle2∠ 2 are complementary, find the measure of x and the measures of the angles when LaTeX: m\angle1=\left(6x+5\right)^\circm ∠ 1 = ( 6 x + 5 ) ∘ and LaTeX: m\angle2=\left(8x+15\right)^\circm ∠ 2 = ( 8 x + 15 ) ∘ ?
Answer:
x = 5Step-by-step explanation:
The sum of two complementary angle is 90 degrees. Given the following complementary angles;
<1 = 6x + 5
<2 = 8x + 15
<1 + <2 = 90 (complementary angles)
6x + 5 + 8x + 15 = 90
14x + 20 = 90
14x = 90-20
14x = 70
x = 70/14
x = 5
Hence the measure of x is 5
Please help me please
16-2<5
solveeeeee itttttt
[tex]b-2<5\\b<5+2\\b<7[/tex]
Therefore, the answer is b < 7.
HELP DUE IN 20 MINS!!!!!!
Answer:
10 miles
Step-by-step explanation:
Set up a proportion: [tex]\frac{15}{1.5} = \frac{x}{1}[/tex] Cross multiply, then divide: 15 × 1 = 15, 15 ÷ 1.5 = 10So, Jessica can run 10 miles in 1 hourI hope this helps!
Todd swam three trials of the 50-meter freestyle. His time was 32.15 seconds for the first trial, 31.67 seconds for the second trial, and 30.55 seconds for the third trial. Part A What is Todd's combined time for all three trials? Enter your answer in the box. seconds Part B How much faster was Todd's second trial than his first trial? Enter your answer in the box. second(s)
Answer:
A. 94.37 seconds
B. 0.48 seconds
Step-by-step explanation:
Total distance = 50 meters
First trial = 32.15 seconds
Second trial = 31.67 seconds
Third trial = 30.55 seconds
A. What is Todd's combined time for all three trials
Todd's combined time for the three trials = First trial + Second trial + Third trial
= 32.15 seconds + 31.67 seconds + 30.55 seconds
= 94.37 seconds
B. How much faster was Todd's second trial than his first trial?
Second trial = 31.67 seconds
First trial = 32.15 seconds
Time taken for first trial - Time taken for second trial -
= 32.15 seconds - 31.67 seconds
= 0.48 seconds
Todd's second trial was 0.48 seconds faster than his first trial
The range of f(x) = 3x + 1.1 is {16.1, 19.1, 25.1). What is the domain?
A. (5,6,8)
B. 49.458 4, 76.4)
C. All positive real numbers
D. All real numbers
Answer:
It’s A. (5,6,8)
Rearrange w=3(2a+b)-4 to make a the subject
Answer:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Step-by-step explanation:
Original equation: w=3(2a+b)-4
1. Distribute the 3 to the numbers inside parenthesis to get:
w=6a+3b-4
2. Subtract 6a from both sides to get:
-6a+w=3b-4
3. Subtract w from both sides to get:
-6a=3b-4-w
4. Divide both sides by -6 and simplify to get:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
x+8y
units
8x -x+5y units
what’s the perimeter?
Answer:
P = 16x+26y units
Step-by-step explanation:
Let the length is (x+8y) units
Width = (8x-x+5y) units
We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.
P = 2[(x+8y) + (8x-x+5y)]
= 2[(8x+8y+5y)]
= 2[8x+13y]
= 16x+26y
Hence, the required perimeter is 16x+26y.
What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]
This is why the likelihood of a patient being free of the virus is negative.
[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]
[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]
x - 9 = 0.7*x + 0.6*x
Answer:
x = -30
Step-by-step explanation:
[tex]0.7x+0.6x=1x-9\\=>1.3x=1x-9\\=>1.3x-1x=9\\=>0.3x=-9\\=>\frac{3}{10}x =-9\\=>x=\frac{-9*10}{3} =-30[/tex]
PLEASE I NEED HELP W THIS ASAP THANK YOU GUYS PLEASE
Find the product. Write your answer in standard form.
3) (4x+3)(x2 - 4x + 3)
a. 4r + 13.r? + 9
b. 9 - 13.r+ 4r
c. 13 + 9x2 + 4
d. 4r - 13.rº + 9
Answer:
a. 4x³+13x²+9
Step-by-step explanation:
1. Distribute 4x to every term in the second set of parenthesis to get:
4x³-16x²+12x
2. Distribute 3 to every term in the second set of parenthesis to get:
3x²-12x+9
3. Add/subtract terms with the same variables/degrees:
4x³-16x²+12x+3x²-12x+9
4. The simplified answer is:
4x³+13x²+9
Answer:
4x³ - 13x² + 9
Step-by-step explanation:
(4x + 3)(x² - 4x + 3) =
(4x)(x²) + (4x)( - 4x) + (4x)(3) + 3(x²) + 3( - 4x) + 3(3) =
4x³ - 16x² + 12x + 3x² - 12x + 9 =
= 4x³ - 13x² + 9
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
y=3x+2
Step-by-step explanation:
Answer:
y=3x+2
Step-by-step explanation:
facts: slope is m, and b is y-intercept
y=3x+2
hope this helps!
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3.6 inches 18.2 inches 60 inches 90 inches
pls answer quick this is worth 65 points
Answer:
90 inches
Step-by-step explanation:
18 divided by 0.2 is 90
Answer:
D: 90 inches
Step-by-step explanation:
Got it right on edge!
Pls help will give brainliest to who is Wright
Answer:
24
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
Answer:
The answer is 24 :)
Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money. If the cost of the dog is $300, who will be able to buy it first?
a. 8hrs to have the same amount of money
b.18 hours to have the same amount of money
c. Brittany will be able to buy the dog first
d. Steven will be able to buy the dog first
Answer:
d
Step-by-step explanation:
18 always still have the same amount of money
I’ll love you forever if you help me with this ASAP PLEASE
Answer:
A: -0.33
Step-by-step explanation:
If you convert it to slope-intercept form, you get y = -1/3x + 4 so the slope is -1/3 or -0.33
i just need someone to explain please
Given m|n, find the value of x.
t
(6x+10)
(5x+28)
line m || line n
To Find:The value of x.
Alternate Interior Angles:The angles formed when a transversal intersects two parallel lines ( m and n ).
Explanation:6x + 10° = 5x + 28° ( Alternate Interior Angles )
By transposition method, we get
6x - 5x = 28° - 10°
By simplifying the like terms, we get
x = 18°
Answer:The value of x is 18°.
PLEASEEEEEEEEEEE NO ONE IS HELPING ME!!!!!!!!
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
How many pages will George have written after 3 hours?
Answer:
George would have 7 pages complete
Step-by-step explanation:
Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7
PLs help I can't stay too long my assignment is due in 20 min!
Divide. Write the quotient in lowest terms.
3/5 divided by 2 and 1/2
Answer:
Decimal: 0.24
Fraction: 6/25
I just need help with the option that is blank
Which of the following is a step in simplifying the expression ?
Answer:
1
Step-by-step explanation:
can someone help me please?
The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?
Strategy:
why did you choose this strategy:
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
20-34+ 8/2 =? PLS HELP ME I GIVE ALL MY POINTS.
Answer:
-10
Step-by-step explanation:
20-34=-14, 8/2 is just 4, so add 4 to -14 which = -10
Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form
Answer:
y = 3x - 6
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then
y = 3x + c ← is the partial equation
To find c, substitute either of the 2 points into the partial equation
Using (2, 0 ) , then
0 = 6 + c ⇒ c = 0 - 6 = - 6
y = 3x - 6 ← equation of line
Find the value of a in the polygon below.
Answer:.
m= 116 degrees
a=41 degrees
Step-by-step explanation:
Explaination: add 89+50+64 = 203
the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319
360-319= 41
the whole polygon should equal 360 degrees
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928