Answer:
Number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Im a 10th grader in AP calc and I can tell u that is literally all that matters :)
Step-by-step explanation:
5x - 6y = 4
3y + 2x = 7
How many times will the lines intersect?
Answer:
Once
Step-by-step explanation:
I put it into slope intercept first
(5/6)x - (2/3) = y
(2/3)x - (7/3) = y
Both lines are linear so they are straight. Since the two are not parallel or have the same slope then they will cross once.
1. Explain why the equation has two solutions. Then solve the equation to find the solutions. Show your work.
Answer:
Some equations have two solutions because a quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.
The answer to the quation is x = -2 or x =10
Step-by-step explanation:
Quadratic equation are equations with a leading degree of two. The solutions to the given quadratic equation is 10 or -2
Solution to quadratic equationQuadratic equation are equations with a leading degree of two. Given the equation
(x-4)^2-28=8
The equation has two solution because it has a leading degree of 2.
Given
(x-4)^2-28=8
Add 28 to both sides
(x-4)^2-28 + 8=8 + 8
(x-4)^2= 36
Take square root of both sides
√(x-4)^2= ±√36
x - 4 = ±6
x = 6 + 4 or -6 + 4
x = 10 or -2
Hence the solutions to the given quadratic equation is 10 or -2
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Joe is commissioned to build a small rectangular garden area on community property. The landscape committee requested that the garden be 10 feet longer than it is wide. Joe has up to 90 feet of material to use for the perimeter. What is the maximum width w of the garden?
Write an expression that represents the length of the garden.
Write the inequality that models the perimeter of the garden.
Solve the inequality.
Answer:
length = width + 10
4*width + 20 ≤ 90
width ≤ 17.5 feet
Step-by-step explanation:
The perimeter of a rectangle is given by:
Perimeter = 2*length + 2*width
The length needs to be 10 feet longer than the width, so we have:
length = width + 10
Using this length in the perimeter equation, we have:
Perimeter = 2*(width + 10) + 2*width = 4*width + 20
The perimeter needs to be up to 90 feet, so we have:
P ≤ 90
4*width + 20 ≤ 90
4*width ≤ 70
width ≤ 17.5 feet
the maximum width of the garden is 17.5 feet
When graphing an inequality on a number line, if you have ≥ or ≤
, the circle must be a CLOSED circle on the number line.
True
False
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
closed circles can mean greater than or equal to/less than or equal to
Prove that
[tex]x {}^{2} - 2[/tex]
will never be divisible by 3.
Answer:
Any integer x can be represent in form of 3k, 3k+1, or 3k + 2 (k is integer).
Case 1: x = 3k => x^2 - 2 = 9k^2 - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2)
Case 2: x = 3k + 1 => x^2 - 2 = 9k^2 + 6k + 1 - 2 = 9k^2 + 6k - 1, which will not be divisible by 3
(notice that 1 is not divisibble by 3, but 9k^2 + 6k)
Case 3: x = 3k + 2 => x^2 - 2 = 9k^2 + 12k + 4 - 2 = 9k^2 + 12k - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2 + 12k)
=> x^2 - 2 will never be divisible by 3
Hope this helps!
:)
Sean is one-fourth his dad's height. If his dad is 6 feet, 6 inches tall, how tall is Sean?
Answer:
19 1/2 inches.
Step-by-step explanation:
edge 2020 OwO
Answer:
19.5 inches a.k.a. 1 foot and 7.5 inches
Step-by-step explanation:
1) To make it easier, convert Sean's dad's height into solely inches.
6 feet and 6 inches = 6(12) + 6 = 72 + 6 = 78 inches
2) Find out what is one-fourth of Sean's dad's height.
In order to do that, you must simply multiply 78 by [tex]\frac{1}{4}[/tex].
[tex]78(\frac{1}{4} ) = 19.5[/tex]
3) Convert back to feet and inches (if necessary)...
19.5 inches = 12 + 7.5 = 1 foot and 7.5 inches
I hope this helps!
Graphs of functions on the interval [−4, 4] are depicted below. For each function, find:
1) The domain
2) Zeros of a function (the values of x where the function is zero)
3) Intervals where the function is positive and intervals where it is negative
Answer:
Domain : [-4,4} or [tex]-4\leq x\leq 4[/tex]
Zeros of the function: (-2, 0, 2)
Intervals when function is positive: (0,2)
Intervals where function is negative: (-4,0), (2,4)
Step-by-step explanation:
Domain can be defined as the input of all possible values of x in the given interval. We can se from the graph that minimum value of x is -4 while maximum value of x is 4. So
[tex]-4\leq x\leq 4[/tex]
The value of function becomes 0 at three places, when x becomes -2,0 or 2
We can see that the function is negative throughout the interval (-4,0), then it become positive from (0,2), then it becomes negative again from (2,4)
Approximating square root of 17 to the nearest hundredth.
Answer:
4.12
Step-by-step explanation:
[tex]\sqrt{17} = 4.1231[/tex] ≈ 4.12
PLEASE HELP ME FOR BRAINLIEST ANSWER An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. The length of the garden is ? feet.
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
which of the following values are in the range of the function graph below? Check all that apply.
Answer:
hey there,
Step-by-step explanation:
make sure you add your image. we don't know what to answer
Answer:
Add a graph so that we are able to answer for you.
Step-by-step explanation:
Please answer this question as a fraction, will mark you the brainliest if ur right!
Answer:
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
Step-by-step explanation:
WILL GIVE BRAINLIEST MATHS!
Answer:
1. 10218
2. 9720
Step-by-step explanation:
1 ---------------
need to find the least 5 -digit number leaving same remainder when divided by 12, 18, 21, 28
12= 2x2x318=2x3x321= 3x728= 2x2x7LCM(12,18, 21,28)= 2x2x3x3x7= 262Least 5-digit number is 10000, when it is divided by 262, we get
10000/262= 38.17
39*262= 10218, this number leaves 0 remainder when divided by all 4 given numbers, any number leaving more remainder will be greater than this
Answer: 10218
2 -----------------
Greatest 4-digit number exactly divisible by 12, 18, 40, 45
12=2x2x318=2x3x340=2x2x2x545=3x3x5LCM(12,18,40,45)= 2x2x2x3x3x5=360Greatest 4 digit number is 9999
9999/360= 27.78
360*27= 9720 is the greatest number we are looking for
Answer: 9720
Choose the answer to complete each statement
The slope of the line is
The y-intercept is at
The graph represents the function
(3, 4)
(0, -3)..
Answer:
1. The slope of the line is 7/3
2. y intercept is -3
3. y= 7/3x -3
Step-by-step explanation:
To find the slope of the line you use the equation y2-y1/x2-x1
y2 and y1 are y coordinates of the 2 coordinates on the same line that you want to find the slope of and the same with x2 and x1
The y-intercept is the point where the line crosses the y axis and x= 0
the equation of a line is y= mx+b
m= slope
b= y intercept
What is the equation of the line that is parallel to the given
line and has an x-intercept of -3?
y=2/3x+3
y=2/3x+2
y=-3/2+3
y=-3/2x+2
/ / * ANSWER PLS * / / MK and ML are tangent to circle J. If MK = 6x – 15 and ML = 2x + 9, find x.
Answer:
x=6
Step-by-step explanation:
As MK and ML are tangent to the circle, they are also congruent (MK = ML). Thus we can set the equation:
6x-15 = 2x+9
Now solve for x:
6x-2x = 9+15
4x=24
x=6
Answer:
B.
Step-by-step explanation:
MK and ML are tangents to a circle and " originating from the same point" so
MK=ML
Since MK = 6x-15 and ML = 2x+9
So,
6x-15 = 2x+9
6x-2x = 9+15
4x = 24
Dividing both sides by 4
So, we'll get
x = 6
All rhombus we have all sides that are equal in length.
Which of these quadrilaterals are rhombuses?
The quadrilaterals that are rhombus is
Figures B and C.
Options B and C are the correct answer.
What is a rhombus?A rhombus is a quadrilateral whose all four sides are equal and the parallel sides are equal and the opposite angles are equal
We have,
A rhombus has all four sides equal.
A rhombus has equal parallel sides.
A rhombus's opposite angles are equal.
Now,
The figure in option B has the following properties:
All sides are equal.
Parallel sides are equal.
The figure in option C has the following properties:
All sides are equal.
Parallel sides are equal.
Opposite angles are equal.
Thus,
Figures B and C are rhombus.
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The probability that a person has immunity to a particular disease is 0.6. Find the mean number who have
immunity in samples of size 12.
Answer:
Step-by-step explanation:
This is a binomial probability problem. There are only two outcomes. It is either a chosen person has immunity to a particular disease or he does not. The probability of success in this case, p is the probability that a chosen person has immunity to a particular disease. Thus
p = 0.6
The probability of failure, q is q = 1 - p
Thus, q = 1 - 0.6 = 0.4
Mean = np
Where n represents sample size. Thus,
Mean = 12 × 0.6 = 7.2
A school has a square playground with each side
measuring 120 feet. A scale drawing of the
playground uses the scale = inch equals 12 feet.
What is the length of a side of the playground on
this scale drawing?
Help!
Answer:
10 inches
Step-by-step explanation:
The length of the playground in its actual size is 120 feet.
The scale drawing uses a scale of 1 inch to 12 feet.
This means that 1 inch in the drawing equals 12 feet in actual size.
Therefore, the length of the playground on the scale drawing is:
1 inch = 12 feet
x = 120 feet
Cross-multiply:
120 * 1 = 12 * x
=> x = 120 / 12 = 10 inches
The length of a side of the playground on the scale drawing is 10 inches.
Find the area of the
8 in
6 in
A
5 in
4in
10 in please help explained answer please thanks.
Answer:
108
Step-by-step explanation:
6x8 = 48
10x4= 40
5x4= 20
add them up and you get 108
Answer:
the area is 108
Step-by-step explanation:
cut the shape into parts.
6x8=48
10x4=40
5x4=20
48+40+20=108
Given the equation (x - 13) ^ 2 + y ^ 2 = 64 identify the center and radius
Answer:
radius is 8; center is at (13, 0).
Step-by-step explanation:
Compare the given (x - 13) ^ 2 + y ^ 2 = 64 to:
(x - h)^2 + (y - k)^2 = r^2. (h, k) represents the center
and r the radius.
Since 64 = r^2, r = the radius = 8 units = r
We also see that h = 13 and k = 0.
Thus, the center of the given circle is (13, 0).
provided
Solve this equation. Explain your reasoning.
3x-2.5x + 0.5 = 4.5
Answer:
hope this helps!
Step-by-step explanation:
3x-2.5x+0.5=4.5
We move all terms to the left:
3x-2.5x+0.5-(4.5)=0
We add all the numbers together, and all the variables
0.5x-4=0
We move all terms containing x to the left, all other terms to the right
0.5x=4
x=4/0.5
x=8
The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile.
Answer:
[tex]4\sqrt{5}[/tex] miles.
Step-by-step explanation:
From the given figure it is clear that the coordinates of Elm station are (-3,-6) and coordinates of Symphony station are (1,2).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between Elm and Symphony stations is
[tex]D=\sqrt{(1-(-3))^2+(2-(-6))^2}[/tex]
[tex]D=\sqrt{(1+3)^2+(2+6)^2}[/tex]
[tex]D=\sqrt{(4)^2+(8)^2}[/tex]
[tex]D=\sqrt{16+64}[/tex]
[tex]D=\sqrt{80}[/tex]
[tex]D=4\sqrt{5}[/tex]
Therefore, the distance between Elm and Symphony stations is [tex]4\sqrt{5}[/tex] miles.
What is the product of 523 and 48
Answer:
25104
Step-by-step explanation:
PRODUCT=MULTIPLICATION, SO
423 X 48= 25104
You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yellow. You will win $14 if you draw a yellow ball, and $11 if you draw a green ball. What is the expected value of the game?
Answer:
Green ball. $11
Step-by-step explanation:
Let's see.
15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.
Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11
The total expected value of the game is $2 if you pay $8 to play the following game of chance.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yellow.
Yellow balls = 15 - 7 - 6= 2
Probability of yellow = 2/15
Probability of green = 6/15
Expected value of the game = 6(2/15) + 3(6/15) = $2
Thus, the total expected value of the game is $2 if you pay $8 to play the following game of chance.
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You drove 640 miles in 5 hours. How many miles did you travel in 1 hour?
Answer:
Step-by-step explanation
The person drove 128 miles in one hour
I divided 640/5 and got 128 as my answer
Answer:
For every one hour you drive 128 miles.
Step-by-step explanation:
First you would need to find the unit rate.
Divide 640 by 5
[tex]640/5=128[/tex]
Unit rate=
[tex]y=128x[/tex]
Hope this helps
18. A brother carries his little sister, who weighs 24kg, across a field 20 meters. How
much work did he do?
Answer:
4800 joules
4.8 kilojoules
Step-by-step explanation:
[tex]Work done = Force * distance\\Workdone = (mass*acceleration)*distance\\Note : force = (mass*acceleration) , Acceleration- due- to -gravity =10m/s^2\\W.D = 24 * 10*20\\W.D = 4800 joules\\W.D =4.8Kilo joules[/tex]
Which is constant term in the equation given in standard from 5x+3y=15
1 point
1. Mr. Smith visited the park one sunny afternoon. He noticed that only
dogs and people were in the park that day. While he was resting on a park
bench, he observed that there were 15 heads and 50 legs in the park.
Which pair of system of equations can be used to determine the number
of dogs and the number of people in the park that day (use x = # of people;
y = # of dogs)?
x + y = 50: 2x + 4y = 15
x + y = 15, 4x + 2y = 50
X + y = 15:2x + 4y = 50
x + y = 50; 4x + 2y = 15
Answer:
x+y=15 ; 2x+4y=50
Step-by-step explanation:
Let x be the number of people
Let y be the number of dogs.
Equation regarding Total Heads:Total number of heads = 15
As
1 person has 1 head
1 dog has 1 head
Total no. of heads of people = 1 * x = x
Total number of heads of dogs = 1*y = y
Equation becomes:
x+y=15
Equation regarding Total Legs:Total number of legs = 50
As
1 person has 2 legs
1 dog has 4 legs
Total no. of legs of people = 2 * x = 2x
Total number of legs of dogs = 4*y = 4y
Equation becomes:
2x+4y=50
An angle turns through
30
360
of a circle.
What is the measure of the angle?
A
12°
30°
С
330°
D
360°
need help please
Answer:
Not widely used. If you continue to increase an angle it will eventually 'double back' on itself and form a full 360° angle. This is the Full Angle. One could argue that this is the same as a zero-sized angle. But we generally mean the reflex angle and so it is a full circle or 360°. Adjust the angle above and try to create the full angle going around in both directions.
Step-by-step explanation:
Denice had 236 yellow stars and 196 blue stars. She wants to arrange them in rows of 4. How many rows of stars would Denice have?
Answer:
108
Step-by-step explanation:
236 + 196 = 432 (total stars)
432 / 4 = 108 rows.
Answer:
108 rows.
Step-by-step explanation:
236 stars + 196 stars = 432 stars in total
So if you're putting 432 stars in 4 rows, you have to divide 432/4, which equals 108 rows with 4 stars in each row.
Hope this helped you :)