Answer:
(-2,0) and (2,0)
Step-by-step explanation:
To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:
[tex]4x^2-16=0[/tex]
Factor:
[tex]4(x^2-4)=0 \\\\4(x-2)(x+2)=0 \\\\x=2,-2[/tex]
The x intercepts are at (-2,0) and (2,0). Hope this helps!
Answer:
The x intercepts are -2 and 2
Step-by-step explanation:
y=4x^2-16
Set equal to zero to find the x intercepts
0 =4x^2-16
Factor
0 = 4(x^2 -4)
Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)
0 = 4(x-2) (x+2)
Using the zero product property
0 = x-2 0 = x+2
x =2 x = -2
The x intercepts are -2 and 2
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270
Answer:
15 weeks
$270
Steps:
1: 60+14x=120+10x
2: 4x=60
3: x=15 weeks
4: Amount= 60+14*15= $270
Description:
The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.
Please mark brainliest
Hope this helps.
Can any one here please help me in this math problem I really need help
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Help me ASAP Need to hand in now
Answer:
(2d +7y) cm
Step-by-step explanation:
length of rope= 1st part +2nd part +3rd part
1st part= 2d
2nd part= d +2y
3rd part
= 2nd part +3y -2d
= d +2y +3y -2d
= 5y -d
Thus, length of rope
= 2d +d +2y +5y -d
= (2d +7y) cm
The table shows three unique functions.
Which statements can be used to compare the functions?
Select two options.
1
X
4
-3
-2
-1
Only f(x) has an x-intercept.
f(x) g(x) h(x)
-19 8
0 -12 -6
-1 -7 4
-2 4 ---2
-2 4 .
Og(x) has liic yrealesi maximum.
1
All three functions have a y-intercept.
All three functions have the same range values.
All three functions have the same domain values.
Answer:
Only f(x) has an x-intercept.All three functions have the same domain values.Step-by-step explanation:
We assume that the table represents the complete definitions of the functions of interest.
An x-intercept is a point where the y-value is 0. Only f(x) includes such a point: (-3, 0).
A y-intercept is a point where the x-value is 0. x=0 is not part of the domain of any of these functions, so there are no y-intercepts.
The maximum values of these functions are ...
f(x): 1g(x): -4h(x): 2so h(x) has the greatest maximum value.
The range of each function is the list of its table values. No two functions have the same range.
The domain of each function is the set of x-values for which it is defined. All of these functions have the same domain. That is, they are all defined for all of the x-values listed.
Of the descriptors offered, the two that apply are ...
Only f(x) has an x-intercept.All three functions have the same domain values.Answer:
A and E
Step-by-step explanation:
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).
Answer:
Step-by-step explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2
HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT
Answer:
x = 3
Step-by-step explanation:
The triangles are similar, using ratios
x 8
------ = -----------
18 48
We can use cross products to solve
48x = 8*18
48x = 144
Divide each side by 48
48x/48 = 144/48
x =3
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path.
Answer: Garden = 36 ft², Path = 64 ft²
Step-by-step explanation:
Path is 3 ft wide ON EACH SIDE of the garden
Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.
Since the garden is a square, Area = 6² = 36
Garden + 2(Path) = 10 ft
Since the Garden + Path form a square, Area = 10² = 100
Area of Garden + Area of Path = Total Area
36 + Area of Path = 100
Area of Path = 64
solve 5kx+ 6=7kx for x
Answer:
A
x= 3/x
Step-by-step explanation:
5kx + 6 = 7kx
collect like term
5kx - 7kx = -6
-2kx = -6
minus cancel out
=> 2kx = 6
divide bothside by 2k
=> x = 6/2k
=> x = 3/k
Answer:
Step-by-step explanation:
its A just trust :)
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
determine whether the systems have one solution, no solution, or infinitely many solutions
3x-2y=3;6x-4y=1
3x-5y=8;5x-3y=2
3x 2y=8;4x 3y=1
3x-6y=3;2x-4y=2
3x-4y=2;6x-8y=1
Answer:
First system: no solution
Second system: one solution
Third system: one solution
Fourth system: infinite solutions
Fifth system: no solution
Step-by-step explanation:
First system: 3x-2y=3; 6x-4y=1
From the first equation: y = (3x - 3)/2
Using this value of y in the second equation:
6x - 6x + 6 = 1
6 = 1 -> System has no solution
Second system: 3x-5y=8; 5x-3y=2
From the first equation: x = (8 + 5y)/3
Using this value of x in the second equation:
5*(8 + 5y) - 9y = 6
40 + 25y - 9y = 6
16y = -34 -> y = -2.125
x = (8 - 5*2.125)/3 = -0.875
This system has one solution
Third system: 3x-2y=8; 4x-3y=1
From the first equation: x = (8 + 2y)/3
Using this value of x in the second equation:
4*(8 + 2y) - 9y = 3
32 + 8y - 9y = 6
y = 26
x = (8 + 2*26)/3 = 20
This system has one solution
Fourth system: 3x-6y=3; 2x-4y=2
From the first equation: x = 1 + 2y
Using this value of x in the second equation:
2*(1 + 2y) - 4y = 2
2 + 4y - 4y = 2
2 = 2
This system has infinite solutions
Fifth system: 3x-4y=2; 6x-8y=1
From the first equation: x = (2 + 4y)/3
Using this value of x in the second equation:
2*(2 + 4y) - 8y = 1
4 + 8y - 8y = 2
4 = 2
This system has no solution
FAST ANSWER PLEASE THANKS
Answer:
(f • g)(x) = x² - 6x + 7
Step-by-step explanation:
Suppose
f(x) = x² - 2
g(x) = x - 3
Determine
(f • g)(x) = ...
We can compose the functions by doing the following
(f • g)(x) = f(g(x))
(f • g)(x) = f(x - 3)
(f • g)(x) = (x - 3)² - 2
(f • g)(x) = x² - 6x + 9 - 2
(f • g)(x) = x² - 6x + 7
I hope this helps!
upper limit of 40 to 50
Answer:
So the class mark of class interval 30 - 40 is " 35 "
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:
Possible reasons:
If the triangular prism is bigger than the rectangular prism, it will have a greater volumeThe rectangular prism could have less width than the triangular prismThe rectangular prism could have less depth than the triangular prismThe rectangular prism could have less length than the triangular prismPlease mark Brainliest if correct.
Sorry if it is not correct.
I need to know the answer for the picture
Answer:
a = 2
Step-by-step explanation:
We can use cross products to solve
8 a
----- = -------
28 7
8*7 = 28*a
Divide each side by 28
56/28 = 28a/28
2 =a
Answer:
2
Step-by-step explanation:
Given:
8 a
------- = ------ Find the value of a that makes this equation true.
28 7
Cross multiplying, we get 28a = 56, and so a works out to 2.
Check: Does 8/28 = 2/7? Yes.
look at the diagram which angle is adjacent and congruent to angle AOE
Answer:
Angle EOC.Step-by-step explanation:
You can observe the figure in the image attached.
Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).
Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.
According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?
Answer:
Step-by-step explanation:
You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.
When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.
Our c is a 20. All the factors of 20 are as follows (notice that we have both the positive and negative factors):
20: ±1, ±2, ±4, ±5, ±10, ±20
Our d is a 3. All the factors of 3 are as follows (again, both the + and the -):
3: ±1, ±3 and that's it for 3.
c/d is as follows. Make sure you put ever c over every d!!!:
c/d: ±[tex]\frac{1}{1}[/tex], ±[tex]\frac{2}{1}[/tex], ±[tex]\frac{4}{1}[/tex], ±[tex]\frac{5}{1}[/tex], ±[tex]\frac{10}{1}[/tex], ±[tex]\frac{20}{1}[/tex], ±[tex]\frac{1}{3}[/tex], ±[tex]\frac{2}{3}[/tex], ±[tex]\frac{4}{3}[/tex], ±[tex]\frac{5}{3}[/tex], ±[tex]\frac{10}{3}[/tex], ±[tex]\frac{20}{3}[/tex]
Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.
Answer:
its D on edge
Step-by-step explanation:
Grace orders groceries worth $49.65. About how much should she spend for 12% home delivery charges?
Answer:
$5.96
Step-by-step explanation:
To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
john has × marbles and max has twice as many.max give gives john 5 of his marbles does max now have
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
John has × marblesJohn=x
Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
The sum of three numbers is 84 the second number is 3 times the third . The first number is 6 less then the third . What are the numbers
Answer:
A=12
B=54
C=18
Step-by-step explanation:
A=first
B=second
C=third
A+B+C=84
B=3C
A=C-6
C-6+3C+C=84
5C-6=84
5C=90
C=18
A=C-6
=(18)-6
=12
B=3C
=3(18)
=54
12, 54, and 18 so, what he said is true
Step-by-step explanation: he already gave this to you
If 14x = 6(–4 + x), then x = ?
Answer:
Step-by-step explanation:
Expand first
-24+6x=14x
-6x on both sides
-24=8x
/x on both sides
X=-3
Answer: [tex]x=-3[/tex]
Step-by-step explanation:
You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:
[tex]14x = -24 +6x[/tex]
Now subtract 6x from both sides to get:
[tex]8x = -24[/tex]
Divide both sides by 8 to get x = -3
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The value of X is 75°
<EFB +105°=180° (Being straight line)
<EFB=180-105
<EFB= 75°
X = <EFB = 75°. (corresponding angle)
The inverse of f(x) is a function
Answer:
The inverse of a function may not always be a function!
The original function must be a one-to-one function to guarantee that its inverse will also be a function.
Find the third side in simplest radical form
Answer: 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
8^2 + 8^2 = c^2
64 + 64 = c^2
128=c^2
[tex]\sqrt{128}[/tex]
[tex]\sqrt{4 * 32}[/tex]
2[tex]\sqrt{4 * 8 }[/tex]
2* 2 [tex]\sqrt{4 * 2}[/tex]
4 * 2[tex]\sqrt{2}[/tex]
8 [tex]\sqrt{2}[/tex]
YEAR 9 MATHS -SYMMETRY QUESTION
Tick whether the statement below is true or false for this rectangle.
It has rotational symmetry of order 4
(1 mark)
Answer:
32cm
Step-by-step explanation:
i think it is symmetry of order 2 as it's rotational symmetry is 180°
Answer:
It has rotational symmetry of order 2 as it's rotational symmetry is 180°
Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12
Answer:
x^2(x-4) + 3(x-4)
(x^2 + 3)(x-4)
Step-by-step explanation:
what is 240:180 in its simplest form thanks
Answer:
4:3
Step-by-step explanation:
240:180=
60(4):60(3)=
4:3
Hope this helps!
Answer:
4:3
Step-by-step explanation:
24:18
4:3
A tennis match was delayed because of rain did officials were not prepared for the delay they cover the 25ft by 20ft court with 13ft by 10ft plastic covers how many plastic covers were needed to cover the cord from the rain
Answer:
4
Step-by-step explanation:
The 25ft by 20ft court needs to be covered.
First consider half of the court, meaning 25ft by 10ft.
To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft
There is a 1ft overlap, but that seems reasonably acceptable.
If you do the same for the other half, then you will have covered the entire court from the rain.
So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court
Data;
dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ftArea of a RectangleAssuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover
[tex]25ft by 20 ft / 13ft by 10 ft = 2[/tex]
This would give us a value approximately 2.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.
Learn more on area of a rectangle here;
https://brainly.com/question/25292087
Help please will give brainliest!
Answer:
C
Step-by-step explanation:
x4(x4-5)+5(x4-5)
=x8-5x4+5x4-25
x8-25
