Answer:
1) 16x -4
2) 7x + 45
Step-by-step explanation:
1 ) 6x + 2(5x -2)
we are going to open the bracket
we have,
6x + 10x - 4
16x -4
4(4x - 1).................................................... simplified
number 2
7x + 3(8+7)
7x +24 + 21
7x + 45........................................................... simplified
so therefore the solution to the first and 2nd question is
1) 16x -4
2) 7x + 45
construct a polynomial function with the stated properties. third degree with zeros of -2,-1, and 3 and passes through the point (2,12)
Answer:
[tex]f(x) = - (x + 2)(x + 1)(x - 3)[/tex]
Step-by-step explanation:
Let f(x) be the 3rd degree polynomial function.
The roots of this function are:
x=-2, x=-1 and x=3.
The factored form is:
[tex]f(x) = a(x + 2)(x + 1)(x - 3)[/tex]
This equation passes through (2,12)
This implies that;
[tex]a(2 + 2)(2+ 1)(2 - 3) = 12 \\ - 12a = 12 \\ a = - 1[/tex]
The polynomial function is
[tex]f(x) = - (x + 2)(x + 1)(x - 3)[/tex]
a middle school wants to have its students see a movie at a loccal theater. the total cost of the theater and movie rental is $1500. what equation show how the cost per student depends on the nuber of students
Answer:
Since I don't know the number of students, I think the equation would be 1500=x*n, with x being the cost and n being the number of students.
Step-by-step explanation:
Final answer:
The equation that shows how the cost per student depends on the number of students is: Cost per student = Total cost / Number of students. For example, if there are 30 students, the cost per student would be $50.
Explanation:
The equation that shows how the cost per student depends on the number of students can be expressed as:
Cost per student = Total cost / Number of students
In this case, the total cost is $1500, so the equation becomes:
Cost per student = $1500 / Number of students
For example, if there are 30 students, the cost per student would be:
Cost per student = $1500 / 30 = $50
It takes a jet 2 hours to fly 1,100 miles. At this rate, how far does it fly in 8 hours?
We know that 8(hrs) is 4 times 2(hrs) so now we just need to multiply.
Multiply 1,100 by 4.
1,100 × 4 = 4,400
The jet will fly 4,400 miles in 8 hours.
Answer:
4400miles
Step-by-step explanation:
1,100 divided by 2 = 550
and 550 times 8 is 4400
4-2y+3=-9
What is y?
y = 8
hope this helps :)
Jordan is a salesperson at the store. Jordan has a base monthly salary of $1,450 and also earns a commission of 5% on his monthly sales. Jordan would like to earn a monthly salary of $1,800 in July. What amount of sales, in dollars, does Jordan need in order to reach the desired salary goal in July
Answer:
$7,000
Step-by-step explanation:
1800 = 1450 + 0.05X
0.05X = 350
X = 7000
Answer:
7,000
Step-by-step explanation:
because 1450 x 5 is 7250
5 percent of 7250 is 7000
Somebody please help me I only have 46 min ! Please ASAP !
7/-21=7/4.58=350/229=1whole number 121/224
If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
(x+8)
(x-8)
(x+4)
(x-4)
Answer:
( x - 4)
Step-by-step explanation:
x² + 2x - 24
From here, you must find the two factors of -24 (the first and third terms' coefficients multiplied together) that add up to 2 (the middle terms coefficient)
( x - 4) ( x + 6)
Other factor of x² + 2x - 24 is (x - 4).
What is factor?Factors and multiples are two related concepts in math. A factor is a number that divides the given number exactly with 0 as the remainder.
Given expression
x² + 2x - 24 has factor (x + 6)
So, the expression should be divisible by (x + 6)
(x² + 2x - 24)/(x + 6)
It can be written as
(x² + 6x - 4x -24)/(x + 6)
Factoring out common factor
(x (x + 6) - 4 (x + 6))/(x + 6)
factoring out common factor
(x + 6)(x - 4)/(x + 6)
Simplifying
= (x - 4).
Hence, (x - 4) is other factor of x² + 2x - 24.
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Which number is a factor of 22 , but not a multiple of 2?
Answer:
11
Step-by-step explanation:
i think.............
The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
81x2 – 49
The value of a is .
The value of b is .
The product of the prime factors is
Answer:
a=9x
b=7
(9x-7)(9x+7)
Step-by-step explanation:
81x^2-49=(9x)^2 - 7^2=(9x-7)(9x+7)
Answer:
1: 9x
2: 7
3: (9x-7)(9x+7)
OR
1: 3rd option
2: 2nd option
3: 4th option
Step-by-step explanation:
got it right on Edge
have a great day!!!
PLZ MARK BRAINLIEST
ANSWER QUICK!!!
If the mean of two numbers is 2.5 what is true about the data. a) both numbers are greater than 5. b) One of the numbers is less than 2. c) One of the numbers is 2.5. d) The sum of the data is not divisible by 2.
b becuces you add the dived
Final answer:
The mean of two numbers is 2.5, indicating that their sum is 5, which gives several possibilities about the individual numbers. The true statements based on the mean could be that one of the numbers is less than 2 or exactly 2.5.
Explanation:
If the mean of two numbers is 2.5, this means when we add those two numbers together and divide by 2 (because there are two numbers), the result is 2.5. To find what is true about the data based on this information, let’s examine each provided option:
a) Both numbers are greater than 5: This cannot be true; if both numbers were greater than 5, their mean would be greater than 5.
b) One of the numbers is less than 2: This statement can be true; for instance, if one number was 1 and the other was 4, the mean would be 2.5.
c) One of the numbers is 2.5: This can also be true; if one number is 2.5 and the other is any number that, when averaged with 2.5, results in 2.5, it would work (for example, 2.5 and 2.5).
d) The sum of the data is not divisible by 2: This is false; since the mean is 2.5 and there are two numbers, the sum must be 5, which is divisible by 2.
So the correct answer is b) and possibly c), meaning one of the numbers is less than 2 or one of the numbers could be exactly 2.5.
When plotting point on the coordinate plane below, which point would lie on the y-axis?
Answer:
The attached picture shows the location of each of the coordinates on the Cartesian plane. Hence, (0, 1) is the coordinate that lies on the y- axis.
Step-by-step explanation:
The solution to the question above is answered thus:
Note that the first value in each bracket is for x while the other is for y. Hence; 0, 7, 6 and 8 are value of x while 1, 0, 8 and 2 are values of y.
Thus:
Coordinate (0, 1) lies on the y - axis.
Coordinate (7, 0) lies on the x - axis.
Coordinates (6, 8) and (8, 2) lie on the 1st quadrant of the Cartesian plane
Coordinates.
Therefore, coordinate (0, 1) is the answer because it lies on the y- axis.
The answer is (0,1)
What is the co-ordinate system?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Given here: The points (0,1), (7,0), (6,8), (8,2)
For the point to lie on the y-axis its x-coordinate or abscissa must be zero
Only (0,1) satisfies this.
Hence, The answer is (0,1)
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What ratio is equivalent to 20/10
Hello There!
The answer to your problem is 10:5 or 2:1
How to get 10:5
To get 10:5 you divide a number that can go into 20 and 10 which is 2. You divide 20/2 and 10/2 and get 10:5.
How to get 2:1
To get 2:1 you divide a number that can go into 10 and 5 which is 5. You divide 10/5 and 5/5 and get 2:1.
Hope This Helps!
The equivalent ratio of 20 : 10 will be 40/20 or 40 : 20.
What are ratios and proportion?
Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A statement expressing the equality of two ratios A:B and C:D is called a proportion. We can express proportion as -
A : B ∷ C : D
AND
A x D = B x C
Product of extremes equal to product of means.
Given is the ratio 20 : 10
The equivalent ratio of 20 : 10 will be -
20 : 10 = 20/10 = (20 x 2)/(10 x 2) = 40/20 = 40 : 20
Therefore, the equivalent ratio of 20 : 10 will be 40/20 or 40 : 20.
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Desiree ran 12 miles in 1 hr, 48 minutes, What was Desiree's average running rate, in minutes per mile
Answer: 1/9
Step-by-step explanation:
60 + 48 = 108 minutes
12 / 108 = 1/9
A line is perpendicular to y = 3x - 8
and intersects the point (2,2).
What is the equation of this
perpendicular line?
Answer:
y=-1/3x+8/3
Step-by-step explanation:
y=3x-8 k1=3
k1*k2=-1
3*k2=-1
k2=-1/3
A(2,2) x1=2, y1 =2
y-y1 =k2(x-x1)
y-2=-1/3(x-2)
y-2=-1/3x+2/3
y=-1/3x+2/3+2
y=-1/3x+2/3+6/3
y=-1/3x+8/3
The circle has an angle of 40° and an area of 8 cm2. Calculate the area of the entire circle.
Step-by-step explanation:
answer it yourself
A swimming pool is shown below.
Two maintenance workers correctly found the total area of the pool by adding the areas of 3 rectangles. But each worker wrote a different expression for the area.
Which could be the expressions the two workers wrote?
Answer:
the answer is c
Step-by-step explanation
Answer:
c
Step-by-step explanation:
The western and eastern cell towers are 10 miles apart. From the
western cell tower, a phone signal is 10° north of east. From the eastern cell tower, the
signal is 20° west of north. How far away is the cell phone from each of the towers?
Sketch a diagram.
The distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles
Explanation:
The sketch is attached for the reference.
tan (10) = [tex]\frac{NE}{WE}[/tex]
[tex]0.176 = \frac{NE}{10} \\\\NE = 1.76[/tex]
tan (70) = [tex]\frac{NW}{WE} \\\\[/tex]
[tex]2.747 = \frac{NW}{10} \\\\NW = 27.47[/tex]
Therefore, the distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles
If f(x) = 4x2 -3 and g(x)= x+1, find (f -9)(x)
Answer:
4x^2 - x - 4.
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= 4x^2 - 3 - (x + 1)
= 4x^2 - 3 - x - 1
= 4x^2 - x - 4.
El horario y el minutero de un reloj miden respectivamente 0.7 y 1.2cm. Determinar la distancia entre los extremos de dichas manecillas a las 13:30 horas
Answer:
1.5887 cm
Step-by-step explanation:
If the time is 13:30, The hour pointer will be between the numbers 1 and 2.
Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.
The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.
The angle formed by the pointers will be 180 - 45 = 135 degrees.
We can draw a triangle with both pointers and this angle (image attached)
So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:
d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)
d^2 = 0.49 + 1.44 - (-0.5940) = 2.524
d = 1.5887 cm
The distance between the tip of the pointers (let's call it "d") using law of cosines is 1.5887 cm.
If the time is 13:30, The hour pointer will be between the numbers 1 and 2.
Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.
The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.
The angle formed by the pointers will be 180 - 45 = 135 degrees.
We can draw a triangle with both pointers and this angle (image attached)
So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:
d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)
d^2 = 0.49 + 1.44 - (-0.5940) = 2.524
d = 1.5887 cm
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An arithmetic sequence is given below.
14, 21, 28, 35, ...
Write an explicit formula for the nth term an.
table A
x y
4 1
8 2
12 3
16 4
Compare the table of Object A and the equation y = 5x of Object B. Which of the two moving objects has greater speed and by what factor? (round to nearest hundredth)
A) Object A by a factor of 1.05
B) Object B by a factor of 1.05
C) Object A by a factor of 1.25
D) Object B by a factor of 1.25
Answer:
D
Step-by-step explanation:
1. Find the rate of change of the graph. Which is 4.
2. Because 5 is greater of 4, Object B has the greater speed.
3. To find the factor you must divide 4 from 5. 5 ÷ 4
4. 5 ÷ 4 = 1.25
5. The correct answer is D
Answer:C)Object A by a factor of 1.25
Step-by-step explanation:this is the answer for USA test prep.
can someone please solve this
Answer:
Y-intercept: (0,6)
Multiplier: 3
Equation: y = 3x + 6
What is the range of the given function
Ariyonne claims that (6,3) is the point of intersection of the lines y=4x-2 and y=1/2x+5. Is she correct? How do you know ?
The width of a rectangular room is 40% of its length. If the length is 20 feet, what is the area of the room?
Answer:
160 ft^2
Step-by-step explanation:
First you have to find the width, then you find the area. To find the width with a percentage we do Part/ Total = %/100 and we cross multiply. We need to find the part so that is the unknown, we will call it 'w' for width
w/20 = 40/100 Now we cross multiply, the x and the 100 and the 20 and 40
w * 100 = 100w
20 * 40 = 800
Now we have 100w = 800 The next step is to divide both sides by 100 so we just have w
100x/100= w
800/100 = 8
w = 8
The width is 8
Now we find the area which is length x width
20 x 8 = 160
So the area is 160 ft^2
Six students collect buttons for a project. The students have 10, 14, 15, 12, 13, and 14 buttons. They divide the buttons evenly
so that each student receives the same number of buttons. How many buttons does each student receive?
0 11
0 12
OOOO
0 13
14
Save and Exit
Mark this and return
Answer:
13
Step-by-step explanation:
10+ 14+ 15+ 12+ 13+ 14=78
78/6=13
Each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. This can be obtained by adding to find total number of buttons and dividing by total number of students, that is 6.
Calculate the number of buttons each student receive:Given that, six students collected 10, 14, 15, 12, 13, and 14 buttons respectively.
Therefore total number of buttons, 10+14+15+12+13+14 =78 buttons.
Number of buttons each student will get,78 buttons/6 students =13 buttons
Hence each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. The correct answer is option 3.
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2x - 4(x + 2) = -2X-8
Answer:
x= 0
Step-by-step explanation:
in order to find the value of x in the 2x - 4(x + 2) = -2X-8
we are going to apply bodmas rule by first opening the bracket
we have,
2x-4x-8 = 2x -8
we proceed to collect the like terms
2x -4x-2x = -8 +8
-4x = 0
divide both sides by -4
-4x/-4 = 0/-4
x= 0
The Equation C = 2D shows how the cost of a car ride depends on the distance in miles. The Variable D Represents the number of miles driven, and the Variable C represents the cost in dollars. If a Car ride is 10 miles long, how much will it cost?
A)15
B)30
C)20
D)25
$ 20
Step-by-step explanation:
Step 1:
Equation is given by C = 2D
Here D is equal to 10 miles
Variable C costs twice the distance traveled.
Step 2:
Here D= 10 Miles.
Hence, C= 2*10 = 20
Hence $20 will be the cost.
4,139 divided by 14 equals what?
Answer:
that would be 57,946
Answer: 295.642 (Work is shown below in the image)
Step-by-step explanation:
Please help me I’m terrible at algebra.
Answer:
72 lbs
Step-by-step explanation:
t=tail h=head b=body
t = 9
h = t + .5b
b = h + t
Substitute
b = h + 9
h = 9 + .5b
h = 9 + .5h + 4.5
.5h = 13.5
h = 27
b = 36
TOTAL = t + h + b = 27 + 36 + 9 = 72