Answer:
The last image (The one going through points (4,1) and (8,2))
Step-by-step explanation:
If the side length is y, and the perimeter is x, x is equal to that value times 4. This means the table of points would look like this:
x y
4 1
8 2
12 3
And so on. The only graph that is going through these points is the last one. The third graph is wrong because it's the opposite, (1,4) instead of (4,1), and the perimeter will be greater than the side length.
consider the graph of the function y=1/4x2-3x-40. what are the roots of the function?
Answer: the roots are x = 20 and x = -8
Step-by-step explanation:
We have the function
y = (1/4)x^2 - 3x - 40
We want to find the roots, that are the points in where y(x) = 0
For a quadratic equation of the form:
y = a*x^2 + bx + c the roots are:
[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]
in this case we have:
[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]
So the two roots are:
x = 2*(3 + 7) = 20
x = 2*(3 - 7) = -8
If the point (a,1) lies on the line y = 3x - 5, what is the value of a?
Answer:
a = 2
Step-by-step explanation:
Note that a point uses (x , y).
y = 1
x = a
Plug in 1 for y in the equation, and a for x:
y = 3x - 5
1 = 3a - 5
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First add 5 to both sides:
1 (+5) = 3a - 5 (+5)
1 + 5 = 3a
6 = 3a
Next, divide 3 from both sides:
(6)/3 = (3a)/3
a = 6/3
a = 2
2 is your value for a.
~
Help with this question please!!
Answer:
Width = 160
Length = 110
Step-by-step explanation:
Perimeter is the sum of all the sides
They tell you that the length is 50 m shorter than the width
so L = W - 50
W = W
540 = W + W + W-50 + W-50
540 = 2W + 2(W-50)
540 = 2W + 2W - 100
540 = 4W - 100
640 = 4W
W = 160
L = 160 - 50
L = 110
Answer:
Length: 110 m
Width: 160 m
Step-by-step explanation:
The formula for perimeter of a rectangle is P = 2L + 2W.
We can write the length in terms of width if width is w:
Length: w - 50
Width: w
Plug the values into the formula.
540 = 2(w - 50) + 2w
540 = 2w - 100 + 2w
540 = 4w - 100
640 = 4w
w = 160
find length by subtracting 50 from the width
160-50=110
Therefore, the length is 110 and the width is 160.
Simplify. 6x+3−(x+1) =
Answer:
5x +2
Step-by-step explanation:
6x+3−(x+1) =
Distribute the minus sign
6x +3 -x -1
5x +2
Answer:
[tex]5x + 2[/tex]
Step-by-step explanation:
[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units
Answer:
x = -9
x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN
Step-by-step explanation:
Triangle area = 1/2 bh
The area is given (44)
base = 2x-4
height = x+5
44 = 1/2 (2x-4) (x+5)
Distribute
44 = 1/2 (2x^2 + 10x - 4x - 20)
44 = 1/2 (2x^2 + 6x - 20)
Take out a 2
44 = 2 * 1/2 (x^2 + 3x - 10)
44 = x^2 + 3x - 10
Subtract 44
0 = x^2 + 3x - 54
Factor the way you like and you should get
(x + 9) (x - 6)
x = -9
x = 6
If you plug them in only the -9 works.
44 = 1/2 (-22) (-4)
Answer:
x=6
Step-by-step explanation:
[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]
[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]
[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]
side is 2×6-4=8 units
height=x+5=6+5=11 units
x=-9 is rejected because it gives negative side and negative height.
what is the 15th n term of the sequence 22 18 14 10 6
Answer:
-34
Step-by-step explanation:
All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34
7(5+2x)+x=65 someone please help me with this equation
Answer:
x=2
Step-by-step explanation:
7(5+2x)+x=65
35+14x+x=65
35+15x=65
15x=65-35
15x=30/15
x=2
Answer:
x=2
Step-by-step explanation:
7×5=35
7×2x=14x+=65
so the equation would be
35+14x+x=65
add the variables together so:
35+15x=65
subtract 35 from 65 which makes it 30 so:
15x=30
now divide both sides by 15
which makes the anwer x=2
Someone help me pleaseeee
Answer: x=44°
explanation: because the angles in a triangle add up to 180° and since the latter or whatever goes straight up it is 90° and the other angle is 46° so 180=90+46+x.
Subtract 90 from both sides of the = and it becomes 90=46+x.
Then you subtract 46 on both sides and you get 44=x
easy geometric shapes question!
Answer:
Cylinder
Step-by-step explanation:
The given geometric shape is of a cylinder.
Answer:
Cylinder
Step-by-step explanation:
The shape will make a cylinder if put together.
Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.
Answer:
48^2 =2304 < 2345 < 2401 = 49^2
=> Smallest number should be: 2401 - 2345 = 56
Hope this helps!
:)
Answer:
56
Step-by-step explanation:
sqrt(2345) = 48.425...
Nearest integer is 49
So, the nearest perfect is 49²
49² = 2401
To be added:
2401 - 2345
56
find out three rational numbers lying between 2/3 and 3/4
PLEASE HELP...... I NEED TO SUBMIT IT NOW......
Answer:
33/48, 34/48, 35/48
Step-by-step explanation:
2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3
3. This table shows a linear relationship between the amount of water in a tank and
time.
time (minutes) water (gallons)
0 T| 30 G
5 T| 20 G
10T| 10 G
Which of these statements is true?
OD
A.The water in the tank is increasing at a rate of 2 gallons per minute.
B.The water in the tank is increasing at a rate of 10 gallons per minute.
C.The water in the tank is decreasing at a rate of 2 gallons per minute.
D.The water in the tank is decreasing at a rate of 10 gallons per minute.
OL
Answer:
c because 10gallons per min is to much
Step-by-step explanation:
The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given table shows a linear relationship between the amount of water in a tank and time.
From the table we have (0, 30), (5, 20) and (10, 10).
Now, slope m=(20-30)/(5-0)
m= -2
Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get
30=-10(0)+c
c=30
Now equation is y=-2x+30
Here, the water in the tank is decreasing at a rate of 2 gallons per minute.
Therefore, option C is the correct answer.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ2
Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of paper. How much paper did she use, not including overlap?
Answer:
She used 600 square inches of paper.
Step-by-step explanation:
Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:
surface area = 2*width*length + 2*width*height + 2*length*height
surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120
surface area = 600 in².
She used 600 square inches of paper.
Can you please help me
Answer:
the length of the car in Ivan's drawing is 12 cm, or the second option.
Step-by-step explanation:
Scale drawing length : actual car length = 2 cm:1 cm
Since it's the same car, we know that the length would be 6 cm.
Therefore, we can set up a proportion and solve for x.
2/1=x/6
x=12
Therefore, the length of the car in Ivan's drawing is 12 cm, or the second option.
I hope this helped and have a good rest of your day!
the radius of a circle with a circumstance of 28 pie into units
Answer:
The radius is 14
Step-by-step explanation:
The circumference of the circle is 28 pi
C = 2* pi *r where r is the radius
28 pi = 2 pi *r
Divide each side by 2 pi
28 pi/2pi = 2 pi *r/2pi
14 = r
HELPP MEE FASTT I HAVE LESS THAN 10 MIN
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Answer:
35x + 15 = 155
35x = 155 minus 15
it will take 4 months to pay off the debt.
Hope this helps. Mark brainliest please!
Answer:
35x + 15 = 155
35x = 155 - 15
It will take 4 months to pay off debt
Step-by-step explanation:
Its mental so idk but trust me <3
What type of sequence is 0,12,24,36,48 geometric or arithmetic?
Answer:
Arithmetic
Step-by-step explanation:
Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!
Answer:
It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!
A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
2.86cm
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes the following:
Volume (V) = 187cm3
Height (h) = 7.3cm
Pi (π) = 3.14
Radius (r) =..?
Step 2:
Determination of the radius of the cylindrical water bottle.
The radius of the cylindrical water bottle can be obtained as follow:
V = πr^2h
187 = 3.14 x r^2 x 7.3
Divide both side by 3.14 x 7.3
r^2 = 187 / (3.14 x 7.3)
Take the square root of both side
r = √[187 / (3.14 x 7.3)]
r = 2.86cm
Therefore, the radius of the cylindrical water bottle is 2.86cm
Michael has three quarters two dimes + 3 nickels in his pocket he randomly draws two coins from his pocket at one time and they are both times he says the probability of that occurring as 1 out of 4 because two of the eight coins are dimes is he correct explain
Answer:
He is correct
Step-by-step explanation:
Here, we have 3 types of coins which are;
3 quarters
2 dimes
3 nickels
Now, we want to obtain the probability that if two coins are selected, both will be dimes.
Now, this probability is kind of delicate. This is because he is selecting only at a single time, the two coins.
Thus, the probability of the two coins coming out at the same time and they are both dimes will be 2/8 = 1/4
This shows that she is correct.
Kindly note that our answer is 1/4 because she is making the selection at the same time and not once at a time
Screen Shot 2020-05-18 at 9.51.50 AM
Screen Shot 2020-05-18 at 9.57.43 AM
Answer:
there is nothing there
Step-by-step explanation:
literally
Answe
Step-by-step explanation:
(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3
-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?
Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.
Answer:
x-intercept(s):
(1,0),(3/2,0)
y-intercept(s): (0,3)
Use the formula
x=−b/2a to find the maximum and minimum.
Ans;(5/4,−1/8)
Coordinates Of The Vertex
(5/4,−1/8)
Zero (roots)
x=1,3/2
Step-by-step explanation:
Please help will mark brainliest!!!
How would you describe the graph of the function at interval 3? Select all that apply.
image below
Answer:
B and E
Step-by-step explanation:
In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!
h(x) = 4x - 3
Given ƒ(x) and h(x), ƒ(x) has the greater value when x = 2.
a. true
b. false
You spin the spinner below once. What is the probability that the arrow will land on 3
Answer:
how many numbers are there and if there is more of the same number then that will be ur probability
Step-by-step explanation:
Is it possible to triangulate a quadrilateral and get more or fewer than two triangles? Determine whether this investigation verifies that the sum of the interior angles of a quadrilateral is always 360°.
Answer:
No.
Step-by-step explanation:
It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.
It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.
We know that The sum of internal angle of a quadrilateral is 360°.
The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.
The Sum of the interior angle of a polygon = 180(n-2) .
It is verifies that the sum of the interior angles of a quadrilateral is always 360°.
Learn more about quadrilateral;
https://brainly.com/question/2477872
#SPJ2
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark's investment double before age 52? What will his investment be worth? What would Mark's investment be if he had invested at age 28?
Answer:
A.3times
B.$1214.68
Step-by-step Explanation
A
Using compound interest formula
A=P(1+I)^n
A is the amount
P is the principal=$300
I is the interest=0.06
n is the time ( between 52 and 16years)=36years
A=300(1+0.06)^36
A=$2444.175
Which means 300 would have become
$2444.175 which is 8 folds.
That means it would have doubled 3times(2×2×2) at age of 52.
B. The time would change to (52-28)=24
Using compound interest formula
A=300(1+0.06)^24
A=$1214.68
Therefore his investment would have been $1214.68.
WILL MARK THE BRAINLIEST!!!! What is a function?
Answer:
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Step-by-step explanation:
Easy 6th grade question please mark Brainliest and give extra points
Question The The point (0,1)
(
0
,
1
)
is reflected over the x- axis. What are the coordinates of the resulting point?
Answer:
it would be the same since its ON the x-axis ( the point does not change)
Step-by-step explanation:
The ratio of cars to trucks passing the intersection of Reyes Adobe and TO Blvd is 7:2. If 108 vehicles pass this intersection, how many are cars?
Answer:
84 cars
Step-by-step explanation:
the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12
12 x 7= 84.... or at least that's how I think of it.
Solve the following
a) 2(x+3)= x-4
b) 4(5x-2)= 2(9x+3)