Answer:
x2-x-8=0
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -1 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2
-1 + 8 = 7
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour
Answer:
D
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(390-260)/(6-4)
m=130/2
m=65/1
every hour, a car travels 65 miles
D
Answer:
65/1
Step-by-step explanation:
Find the value of x !!!
Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?
Please somebody help me with this ASAP!!!
Answer:
Please mark me brainliest and I hope this helps!
Answer: 52
Step-by-step explanation:
The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10
That is equal to 26 + 9 + 7 + 10.
Which is equal to 35 + 17.
And our final answer is 52.
Hi!! I need some help with those exercises can anybody help me please !! Thanks you
Answer:
Step-by-step explanation:
(a+b)^2=a^(2)+2ab+b^(2)
(a-b)^2=a^(2)-2ab+b^(2)
13)
(x+2)^(2)-(x-1)^2
x^(2)+4x+4-(x^(2)-2x+1)
x^(2)+4x+4-x^(2)+2x-1
6x+3
15)
(x+5)^(2)-(x+1)^2
x^(2)+10x+25-(x^(2)+2x+1)
x^(2)+10x+25-x^(2)-2x-1
8x+24
hich number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
#1
Step-by-step explanation:
#1)-3-1.5
you go 3 units left from zero to get to -3
then, you go 1.5 units to the left of -3,
thus getting to -4.5,
#2) in #2 you went to the right to 3 and 4.5, but dude, it is subtraction, so, it should go the opposite way...wrong
#3) you can't change to order of the things in subtraction like in addition, so #3 is wrong answer of 3
#4) like in # 3, you have to go from 0 to (-3) 3 units to the left first, also you go from -3 to -4.5 1.5 units to the left, not -3 to -1.4 -4.5, which makes no sense, steps shown incorrectly to get any single answer at all
#5) you go from -1.5 to 1.5 , then from 0 to -1.5, same as in 4, 3, and 2 you will never get to -4.5, but same as 4 not get any single answer at all
Can someone please help me
Answer:
-10
Step-by-step explanation:
im not sure but maybe
Answer:
6
Step-by-step explanation:
b(x)=|x+4|
b(-10)=|-10+4| (subtitute -10 into x)
=|-6|
=6
because any num in modulus will become positive
If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of the right triangle. Round to the nearest hundredth.
I might give you a brainliest if your answer is correct and you have a good explanation.
Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is [tex]a^{2} + b^{2} = c^{2}[/tex]. We can rearrange that to get: [tex]c^2 - b^2 = a^2[/tex]. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.
-4|x|=-12 solve the equation
Answer:
-4|x| = -12
|x| = 3
x = 3, x = -3
Answer:
x=3, x=-3
Step-by-step explanation:
-4|x|=-12
Divide each side by -4
-4/-4|x|=-12/-4
|x|=3
There are two solutions to an absolute value one positive and one negative
x=3, x=-3
The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
1 point
9 sides
10 sides
11 sides
12 sides
Answer:
12 sides
Step-by-step explanation:
To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;
first write down the formula for finding sum of the interior angle of a polygon
s= (n-2)180
where s is the sum of the interior angle and n is the number of side
from the question given, sum of the interior angle s=1800 degrees
substitute s=1800 degree into the formula and solve for n
s= (n-2)180
1800 = (n-2)180
divide both-side of the equation by 180
1800/180 = n-2
10 = n - 2
add 2 to both-side of the equation
10 + 2 = n
12 = n
n= 12
The polygon have 12 sides
What is the ratio of quadrilaterals to shapes?Write the ratio as a fraction using the / symbol.
If the side on one shape is a and the side on the other shape is b, a common ratio between the two shapes r will exist so that a = b × r. Thus, to find a common ratio simply divide one corresponding side's length by the other: r = a ÷ b. It's as simple as that.
There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?
Answer:
5/12
Step-by-step explanation:
If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.
Answer:
5 to 12
Step-by-step explanation:
Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.
Hope this helped!
Can a triangle be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters?
Answer:
Yes
Step-by-step explanation:
A triangle needs to have 2 of its smallest sides(4.6, 7.3) equal to a number greater than the biggest number(11).
4.6 + 7.3 = 11.9
It’s called a Triangle Sum Thereom
( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )
Answer:
b because look at the notes and study
Answer:
[tex]{25x}^{2} - 54[/tex]
Which word describes the slope of the line?
O positive
O negative
O zero
O undefined
Answer:
positive
Step-by-step explanation:
the line is tilting up (you read it from left to right)
The slope of the line is, O positive.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
from the given graph,
we get,
the straight line is in the positive direction.
Hence, The slope of the line is, O positive.
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plsssssss on thissss i need someone helppp plssss helppp
Answer:
B
Step-by-step explanation:
A is incorrect, the y-axis represents the distance, not time
Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?
Answer:
( 3x − 1) ( 5x^2 + 2 )
Step-by-step explanation:
15x^3 − 5x^2 + 6x − 2
= ( 3x − 1) ( 5x^2 + 2 )
Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].
What is factorization by grouping?Factorization by grouping means that we need to group the terms with common factors before factoring.
[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]
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The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6
Answer:
- 6
Step-by-step explanation:
[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]
The value of 3⁵ ÷ 3-⁶
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
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A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 6 meters and height of 2 meters. 2 triangles have a base of 6 meters and height of 8.8 meters. 2 triangles have a base of 2 meters and height of 9 meters. What is the surface area of the rectangular pyramid? m2
Answer:
Area of the rectangular pyramid is 82.8m²
Step-by-step explanation:
Given
Number of rectangle = 1
Number of triangles = 4
Dimension of Rectangle = Length = 6 metres; Height = 2 metres
Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres
Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres
Required
Area of the Rectangular Pyramid
To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;
Calculating the area of the rectangle;
Area = Length * Height
Area = 6m * 2m
Area = 12m²
Calculating the area of the first two triangles;
Base = 6 metres and Height = 8.8 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 6m * 8.8m
Area = 26.4m²
Area of two triangles = 2 * 26.4m²
Area of two triangles = 52.8m²
Calculating the area of the other two triangles;
Base = 2 metres and Height = 9 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 2m * 9m
Area = 9m²
Area of two triangles = 2 * 9m²
Area of two triangles = 18m²
The area of the pyramid is the summation of the above calculations;
Area of Rectangular Pyramid = 12m² +52.8m² + 18m²
Area = 82.8m²
Hence, the area of the rectangular pyramid is 82.8m²
Answer:
82.8
Step-by-step explanation:
I just took the test
Have a good day :)
Simplify: 5x(2x-3y)
o 10x7 - 15xy
10x -8y
10.x2 -3y
10x7 - 15y?
Hey!!
5x(2x-3y)
=5x*2x- 5x*3y
= 10x^2-15xy
So the right answer is of option A
hope it helps.....
Answer:
the answer is 10x^2-15xy
Step-by-step explanation:
i cant make it any simpiller
The applicants for a soccer coaching position were asked how many years of
coaching experience they had. Here are the results:
1, 2, 2, 2, 2, 4, 4, 5, 6, 6, 8, 8, 8, 10
On a piece of paper, draw a dot plot to represent the data. Then determine
which answer choice matches the dot plot you drew.
The 10 years experience applicant.
What is a dot plot?A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.
The applicants for a soccer coaching position were asked how many years of coaching experience they had. Here are the results:
1, 2, 2, 2, 2, 4, 4, 5, 6, 6, 8, 8, 8, 10
Thus the 10 years experience applicant.
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When is g(x) = 0 for the function g(x) = 5⋅23x + 4?
Answer:
4
Step-by-step explanation:
g(x)=0
Plug in 0
5*23(0) + 4
5*(0) + 4
0 + 4
= 4
Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetables. The garden measures 20‘ x 30‘ and you want to increase the area of the garden to 1000 ft². What is the width of the walkway
1)Approximately 3.3 feet
2) approximately 3.5 feet
3) approximately 3.7 feet
4) approximately3.9 feet
Which is the solution to the following system?
y=3x+1
6x-2y=4
Answer:
x=-7/3 and y=-6
Step-by-step explanation:
6x-3(3x+1)=4
6x-9x-3=4
-3x-3=4
-3x=7
x=-7/3
y=3(-7/3)+1
y=-6
pls help help me need help!!
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50 feet
Step-by-step explanation:
hope this helps
Work out the value of 2^3 + 5^2
Answer:
33
Step-by-step explanation:
A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.
1. The table shows the number of miles
two salespeople drove each day for work
last week.
Mr. Smith
128
150
118
85
166
Miles Driven
Day Ms. Johnson
Mon.
115
Tue.
97
Wed.
86
Thu.
48
Fri.
181
Sat.
127
25
Select THREE sentences that are true.
A. Mr. Smith drove 6 miles per day
more than Ms. Johnson.
B. Ms. Johnson drove 3 miles per day
more than Ms. Johnson.
C. A reasonable prediction is that both
salespeople will drive about 80 miles
each day.
D. A reasonable prediction is that both
salespeople will drive about 110
miles each day.
E. If both salespeople work 250 days
this year, they will drive about
20,000 miles for this year.
F. If both salespeople work 250 days
this year, they will drive about
27,500 miles for this year.
Answer:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
Step-by-step explanation:
Given the miles driven by the two salesman.
Mr Smith
128 , 150 , 118 , 85 , 166 and 25
[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]
Ms. Johnson
115,97,86,48,181 and 127
[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]
Therefore:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
110 X 250=27,500 miles
What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer
Step-by-step explanation:
100-50=50
50/5=10
10/10=1 and
I hope you liked it please mark brainliestMelinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her total daily wages. The table shows her data for 2 weeks. A 2-column table with 11 rows. The first column is labeled x with entries 50, 100, 75, 80, 90, 140, 150, 95, 125, 160, 165. The second column is labeled y with entries 36, 43, 38, 40, 42, 50, 60, 43, 46, 50, 55. A graph shows the horizontal axis numbered 40 to 160 and the vertical axis numbered 10 to 60. A line increases from 0 to 160. According to the line of best fit, what is the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers? $18 $26 $36 $40
Answer:
$26
Step-by-step explanation:
In the picture attached, the table, the plot and the line of best fit are shown. There we can see the next equation:
y = 0.177x + 25.936
where x is the total dollar amount of her customers’ bills and then y is her total daily wages.
This means that even if she serves no customers (x = 0) she will earn $26 ($25.936 rounded to the nearest dollar) for each day of work.
Answer:
$26
Step-by-step explanation:
Looking at the graph when x is 0 y is about a little more that 25 but less than 30. Meaning 26 fits the questions answer.
