Factor the polynomial by its greatest common monomial factor
9b^8+24b^3
9b^8 + 24b^3
= 3b^3 ( 3b^5 + 8 )
The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
Answer:
Length=22.5cm, Breadth=11.5cm
Step-by-step explanation:
Let length be l and width be w.
w+22=l
w+w+w+22+w+22=90
4w=90-22-22
=46
w=46 divided by 4
=11.5
l=11.5+11
=22.5
Hence,
Length of rectangle=22.5cm
Breadth of rectangle=11.5cm
Find the slope of the line through each pair of points (-15,-12),(-13,-19)
2. Which number line is correct? Why are the others incorrect?
Answer:
the middle one is correct
Step-by-step explanation:
the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"
the middle one is correct because the pattern is consistent and the order of the numbers are correct
the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number
hope I helped ❤
Explanation:
The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.
The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.
The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.
So to summarize: the gap size must be the same and the numbers must be written in the correct order.
What division problem iS
being
modeled?
Answer: I THINK fraction
Step-by-step explanation:
1/4 = fraction
12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]
Answer:
166.25
Step-by-step explanation:
12 1 /4 + 154
166 1/4
665/4 , 166.25
Hey there!
12 1/4 + 11.14
= 49/4 + 11.14
= 12.25 + 11.14
= 23.39 or 23 39/100
Answer: 23.39 or 23 39/100
Good luck on your assignment and enjoy your enjoy your day!
~Amphitrite1040:)
What is the solution to the system of equations below?
4x + 2y = 2
3x – 4y = 18
Answer:
here your answer
hope it help
Lindsay makes $9 per hour, h, of babysitting. She made a total of $63 babysitting yesterday.
Move values to the lines to create an equation to represent this situation.
h
9
54
63
72
help me with this plsssssssss ps that is a 2
Answer:
14...
plz mark me brailiest
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 7 x − 40. f(x)=7x−40. Find and interpret the given function values and determine an appropriate domain for the function. f ( − 10 ) = f(−10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 10 ) = f(10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 9.5 ) = f(9.5)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is .
fraction into the statement 1:50000
Answer:
1/50000
please mark as brainliest thanks!
Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).
Answer:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
Step-by-step explanation:
We want to find the equation of a line that is perpendicular to:
[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]
And contains the point (-3, 23).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.
We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]
Substitute:
[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]
Simplify:
[tex]\displaystyle y - 23 = -6 (x+3)[/tex]
Distribute:
[tex]\displaystyle y - 23 = -6x - 18[/tex]
And add. Hence:
[tex]\displaystyle y = -6x + 5[/tex]
In conclusion, our equation is:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
Hi! Please see the photo, I could really use some help!
Joseph tweets 13 times a day.What defines each variable and write an algebraic expression to describe the number of post after any given number of days.
Answer:
t(x) = 13xStep-by-step explanation:
Let the number of days is x.
Joseph tweets 13 times a day.
The number of tweets after x days would be:
t(x) = 13x,t(x) - number of tweets after x days.
how to find standard form given 2 points
9514 1404 393
Answer:
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
Step-by-step explanation:
The standard form equation of a line is of the form ...
ax +by = c
where a, b, c are mutually prime integers. The leading coefficient must be positive.
__
The standard form equation of a line can be found for the two points (x1, y1) and (x2, y2) using the formula ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
Using this equation, you must choose y2>y1. If y2=y1, you must choose x1>x2.
You will need to eliminate any fractions by multiplying the equation by an appropriate number. Once you have the numbers figured out, you need to factor out any common factors from the coefficients and the constant, so they are all mutually prime.
which quadrant will the line y= -1/4 x-15 never pass
Step-by-step explanation:
For x-intercept:
put y=0
0=-1/4 x -15
1/4x=-15
x=-15×4
x=-60
points(-69,0)
For y-intercept:
put x=0
y=-1/4(0)-15
y=-15
points(0,-15)
This line will never pass through first quadrant.
Note:if you need to ask any question please let me know.
The line will never pass through first quadrant.
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given line:
y= -1/4 x-15
Now, the x-intercept:
0=-1/4 x -15
1/4x=-15
x=-15×4
x=-60
and the y-intercept will be
y=-1/4(0)-15
y=-15
Hence, the line will never pass through first quadrant.
Learn more about intercept here:
https://brainly.com/question/14180189
#SPJ2
1/9 x² + 2/3 xy +y² ∴
Answer:
Here is your ans. hope this helps you.
One day Dillan worked from 8:00 AM to 1:00 PM, took a break for lunch, and then
worked from 1:30 PM to 6:00 PM. How many total hours did he work?
2
9.5 hours
8 hours
9 hours
8.5 hours
Answer:
Dillan worked for a total of 9.5 hours.
Step-by-step explanation:
8:00am to 1:00pm is a total of 5 hours,
1:30 to 6pm is a total of 4.5 hours, So 5+4.5= 9.5
What’s expression is equivalent (1/7x+6)-(-4/7x+3
Answer:
[tex]\frac{5}{7}[/tex] x + 3
Step-by-step explanation:
Given
( [tex]\frac{1}{7}[/tex] x + 6) - ( - [tex]\frac{4}{7}[/tex] x + 3) ← distribute by - 1
= [tex]\frac{1}{7}[/tex] x +6 + [tex]\frac{4}{7}[/tex] x - 3 ← collect like terms
= [tex]\frac{5}{7}[/tex] x + 3
PLZ HELP 20 POINTS I really need help and show the work if you got it right cause i want to know
Solve the system of linear questions by substitution
-3x + y = 1
4x + y = 8
Answer:
–3x + y =1
y= 1 +3x
4x + y =8 —> 4x + ( 1 + 3x ) = 8
7x + 1 = 8 —> 7x = 8 – 1 —> 7x = 7
x = 7/7 —> x = 1
y= 1 + 3x —> y = 1 + 3 (1) —> y = 1+ 3
y= 4
(x , y ) —> ( 1 , 4 )
I hope I helped you^_^
Please help work is due in a couple of minutes
Step-by-step explanation:
3m is the answer.
hope it helps
Answer:
3 meters
Step-by-step explanation:
The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).
1 How do you construct a regular polygon inside of a circle?
Answer:
Step-by-step explanation:Draw a straight line using the protractor. This will be the center line of your circle (dividing it into semi-circles).Align the protractor so that both 0° and 180° lie on the center line. Mark the center point.Trace the semicircle along the protractor from 0 ° to 180°.
Put the protractor on the other side of the center line, again with both the 0°and 180° marks on the center line.[1]Complete the circle by tracing along the protractor.
Calculate the angle between adjacent vertices, α. Since a circle has 360°, divide 360° by n, the number of vertices (or sides) to get α.[2]
α=360°/n
α is the measured angle between lines drawn from the center of the circle to adjacent vertices.
For a dodecagon, n=12. A dodecagon has 12 sides and 12 vertices, so 360° divided by 12 is 30°, and α=30°.
Mark a point for each of the successive angles. Using the protractor, mark on the circumference of the circle all the multiples of angle α calculated above.[3]
Join the points marked on the circle with a line segment.[4] For a dodecagon there should be 12 marks and 12 sides, because it has 12 vertices. Don’t overlap the line segments.
If your points are outside of the circle, then simply mark another point along the radial line from the center onto the circle for each point and then join them.
Check to see that the sides are the same length. If they are, you can erase the circumscribed circle.Finished.
Consider the expression 9 * (10 * 4).
Identify the equivalent expression below that demonstrates commutative property.
Answer:
9*(40)
Step-by-step explanation:
9*(10*4)
=9*(40)
The commutative property basically says that if we’re working with any equation, and there are two terms in parentheses you have to combine those two terms
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST
Answer:
OPTION A:
SEE IMAGE FOR SOLUTION
The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.
Answer:
30, +11, 11, -1
Step-by-step explanation:
-10 + 30 = 10, 40 - 30= 10
-3 + 11 = 8
5 + (1.5 x 4) = 11
5 - (1.5 x 4) = -1
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
If f(X)= 7x +5/3 - x =6x +5/3
y= 6x +5/3
6x= y-5/3
f^-1(y)=x=(y-5/3)/6
So we can write
f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y
The same result can be obtained for f^-1(f(x))=x
If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)
(6,7) m=2/3 in standard form.
Answer:
b
Step-by-step explanation:
You were looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $99.89 how many KWH of energy were used in your house this month?
Answer:
832.4 KWH of energy
Step-by-step explanation:
Find how many KWH of energy were used by dividing the total cost by 0.12:
99.89/0.12
= 832.4
So, approximately 832.4 KWH of energy were used that month.
Four times the sum of two times X and six algebraic expression
Answer:
4(2x + 6)
Step-by-step explanation:
2 times x is 2x
The sum of 2 times x and 6 is 2x + 6
And we do 4 times that, making sure to put 2x + 6 in parentheses; we're multiplying 4 times the entire sum.
4(2x + 6)
