Answer:
20x^2 +19x - 60
Step-by-step explanation:
3x( 4x+5) -4 (-x-3) (2x -5)
Distribute
12x^2 +15x - 4 (-x-3) (2x -5)
FOIL
12x^2 +15x - 4( -2x^2 -6x +5x +15)
12x^2 +15x - 4( -2x^2 -x +15)
Distribute
12x^2 +15x +8x^2 +4x -60
Combine like terms
20x^2 +19x - 60
Answer:
20x ^2 + 19x -60
Step-by-step explanation:
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Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?
Answer:
She uses 7.5 feet of twine to make 3 bundles of wood.
What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic
The type of function is Linear.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
x 5 10 15 20 25 30
y 6.5 13 19.5 26 32.5 39
As, we can see from the table that every time the the difference between two consecutive value is same.
Hence, the function is linear.
Learn more about function here:
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c. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
Each pizza had 24 slices. When the party was over, 17 slices were left. How many
slices of pizza were eaten at the party.
Answer:
31
Step-by-step explanation:
Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48 slices
If only 17 remains, 48-17 = 31 slices got eaten
Answer:
31 eaten
Step-by-step explanation:
She started with 2 pizzas with 24 slices each
2*24 = 48
17 slices were left
48 - 17 = 31
That means 31 were eaten
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units
Answer:
5 units
Step-by-step explanation:
see the picture
Answer:
The answer is 5 units
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!:)
What are the solutions to the inequality (x-3)(x+5) less than or equal to 0?
a) {x| 3 less than or equal to x less than or equal to 5}
b) {x| -5 less than or equal to x less than or equal to -3}
c) {x| -5 less than or equal to x less than or equal to 3}
d) {x| -3 less than or equal to x less than or equal to 5}
Answer:c
Step-by-step explanation:
At the school the ratio of boys to girls is 5:3 if there are 385 boys in the school, how many students are there altogether?
Answer:
There are 616 total students
Step-by-step explanation:
boys : girls: total
5 3 5+3 = 8
There are 385 boys
385/5 = 77
Multiply each term by 77
boys : girls: total
5*77 3*77 8*77
385 539 616
There are 616 total students
Answer:
616 total students
Step-by-step explanation:
5 : 3
385 : x
5 x 77 : 3 x 77
385 : 231
385 + 231 = 616
What is this angle ?
A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.
Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)
Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)
Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.
This may be a little confusing, so don't be afraid to ask for clarification, but great luck!
Which sequence of transformations will map figure H onto figure H′?
Answer:
Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6
Step-by-step explanation:
The answer above me would be the answer if the problem was focussed on the y-axis, but, the problem is focussing on the x-axis.
The problem was focused on the y-axis, but, the problem is focused on the x-axis.
We have given that,
the sequence of transformations will map figure H onto figure H
We have to determine the transformation given in the following diagram.
What is the rotation of the origin?Rotation about the Origin is a transformation that rotates or turns a figure (e.g., a triangle) about the origin point (x,y)→(0,0).
( x , y ) → ( 0 , 0 ) . The angle of Rotation: The number of degrees that a figure is turned or rotated about the origin.
Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6
The problem was focused on the y-axis, but, the problem is focused on the x-axis.
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In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is
Answer:
The answer is 1-1/2 minutes.
Step-by-step explanation:
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %. This year the price is $17,635. Find the increase and the new price. The increase in the price of the car is $? (Round to the nearest cent as needed.) The new price of the car is $? (Round to the nearest cent as needed.)
Answer:
Increase: $969.93 New Price: $18,604
Step-by-step explanation:
I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.
which of the following is not a polynomial (a)x^2+ root2*x -3 (b)x^2+ root2x+6 (c)x^3+3x^2-3 (d)6x+4 Pls ans it fast....!!!!!
Answer:
the answer is B)
Help please! Will give brainly! Take a look at the figure below, which is made up of many small squares. How does each expression (A-D) represent the number of small squares in the figure? Explain?
Answer:
Step-by-step explanation:
A: Take 8*6 which build a rectangle, then take out 2*3 squares to create the same shape as in the picture
B: split the shape into two pieces, so one rectangle has the sides 4 and 8 and the rectangle has 2 and 5. Multiply the 4 with 8 and 2with 5 then add them together
C: Add the amount of squares in a layer one by one together
D: split the shape into 2 rectangles but instead of a horizontal split, do a vertical split so first rectangle has the sides 5 and 6 and the other has 3 and 4. Multiply 5 with 6 and 3 with 4 and add both results together
you may have to change the english a bit since english is not my first language
If the coordinate of vertex A is (-2,4), then the coordinate of vertex A' is
(-2,-4)
(2,-4)
(2, 4)
Answer:
A' = (2,4)
Step-by-step explanation:
I know this because it's the opposite of (-2,4)
Answer:
(-2, -4)
Step-by-step explanation:
QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.
Answer:
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Step-by-step explanation:
Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:
PA + PB = 2a
PA = 2a - PB
PA² = 4a² + PB² – 4a ∙ PB
PA² – PB² = 4a² – 4a ∙ PB
[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB
-4hc = 4a² – 4a∙PB
a ∙ PB = a² + hc
Taking square
a² ∙ PB² = (a² + hc)²
a² [(h + c)² + (k - 0)²] = (a² + hc)²
a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²
a²h² – h²c² + a²k² = a⁴ – a²c²
(a² – c²)h² + a²k² = a² (a² – c²)
h²/a² + k²/(a² – c²) = 1
Therefore, the required equation to the locus of P is
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
Find the volume of a cone with the radius of 14, and a height of 9. (Hint:
the volume of a cone is 1/3*b*h where the "b" is the area of the base of
the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for PI!!!*
Answer:
The answer is 1846.32 units³.
Step-by-step explanation:
Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Let π = 3.14,
Let r = 14,
Let h = 9,
[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]
[tex]v = 1846.32 \: {units}^{3} [/tex]
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
A.10
B.15
C.20
D.30
Answer:
C. 20
Step-by-step explanation:
105 + 9.5x = 14.75x
105 = 5.25x
20 = x
Evaluate the following expression. 6 squared -1
Answer:
35
Step-by-step explanation:
[tex]6^2 - 1\\36-1\\35[/tex]
simplify 1/9 - 1/x over 1/81 - 1/x^2
Answer:
9x over x+9
Step-by-step explanation:
Select two ordered pairs that satisfy the function y = –4x – 1.
Answer:
(-0.25,0) and (0,-1)
Step-by-step explanation:
I used a graphing calculator.
Put function the the calculator
then ind two points on the function and that is your answer
Hello can someone please help me ASAP
Answer:
A.
Step-by-step explanation:
[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]
Answer:
A
Step-by-step explanation:
Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared
One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Find the lengths of the legs of the triangle
Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Find the equation of the line.
Use exact numbers
y=___ x+____
Answer:
y=x-5
Step-by-step explanation:
transformations from parent function:
down 5 units
Answer:
y=x-5
Step-by-step explanation:
slope=rise/run=5/5=1
y -intercept=-5
y=x-5
look at the picture, type at least two ways they are the same and different.
Answer:
Similar - They are both rectangles
Similar - They are both connected
Difference- One has yellow and one has white
Difference- Both are not at the same point?
Step-by-step explanation:
Brainliest appreciatedConvert 7/15 to a decimal.
SHOW WORK
Answer:
.4666...
Step-by-step explanation:
What you do:
Too convert 7/15 to a decimal you need too divide it.
7/15 = 0.466666667 So its a repeating decimal.
There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47
^ that is more accurate.
Have a good day! :)
The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches
Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided
Answer:
A) g(x)= -(x-6)^2
Step-by-step explanation:
The graph is of a parabola, so there must be a ^2
If you plug the equation into the graphing calculator it will graph it for you.
Helllp please someone
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
Answer:
-920
Explanation:
To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:
-447 - 473
- (447 + 473)
-920
Therefore, the new dot was on -920.
ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
Ram is 20 years old now, Ram's father is 40 years old now.
Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)
1 50
2 45
3 40
4 35
The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:
Function 2
y = −6x + 50
Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”