Answers
Answer:
\(\sf A) \ (-4, \ 0) \ and \ \ [\dfrac{5}{2} , \ 0]\)
Explanation:
Given function: f(x) = -2x² - 3x + 20
To find the x-intercepts of a function, f(x) = 0
=================
-2x² - 3x + 20 = f(x)
-2x² - 3x + 20 = 0
-2x² - 8x + 5x + 20 = 0
-2x(x + 4) + 5(x + 4) = 0
(-2x + 5) (x + 4) = 0
-2x + 5 = 0, x + 4 = 0
-2x = -5, x = -4
x = -5/-2,x = -4
x = 5/2, x= -4
Coordinates: (-4, 0), (5/2, 0)
Related Questions
simplify the expression. 9y + 1/4 + 6z + 1/4 + 8y - 4z
Answers
Combining similar terms:
\(\begin{gathered} =(9y+8y)+(\frac{1}{4}+\frac{1}{4})+(6z-4z)= \\ =17y+\frac{1}{2}+2z \end{gathered}\)The height of a triangle is 8 m more than the length of the base. The area of the triangle is 21 m^2. Find the height of the triangle
Answers
Answer:
height = 12 cmStep-by-step explanation:
Area of a triangle is given by
\(A = \frac{1}{2} bh\)
where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's
\(21 = \frac{1}{2} (h - 8)h\)
Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
height = 12 cmHope this helps you
What is the distance between point T (-5,1) and point I (-1,1)
Answers
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answers
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
Which set of ordered pairs represents a function?
O (5,4), (4, 5), (1, 2), (1, 4)
O (2, 1), (3, 1), (5, 1), (5, 4)
O (2,5), (1, 6), (0,5), (1, 10)
None of the other answers are correct
O (0,0), (1, 1), (2, 0), (3, 3)
Answers
Answer:
The third one
Okie help help math math math math
Answers
Answer: 33
Step-by-step explanation: In the problem, you are given the figure with the following:
2x+3 and 3x+12
Method: Lets set this into an equation. Remember that straight lines add up to 180°.
2x+3+3x+12=180° Combine like terms.
5x+15=180°
5x=165°
x=33°
You can always plug in 33° in the expression that was set to make sure it does give you 180°.
Hope this helps.
Answer:
33
Step-by-step explanation:
A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study
Answers
Answer:
A) Matched pairs design
Step-by-step explanation:
In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
What is the probability of rolling a 2 or a 4 on a 6 section spinner?
Answers
Solve for x
x^2 - 8x = -3
Answers
The solutions for the quadratic equation:
x^2 - 8x = -3
Are:
x = 7.6x = 0.4How to solve the quadratic equation?Here we want to solve the quadratic equation:
x^2 - 8x = -3
First we can move all the terms to the left side so we get:
x^2 - 8x + 3 = 0
Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:
\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)
Then the two solutions for the quadratic equation are:
x = (8 + 7.2)/2 = 7.6
x = (8 - 7.2)/2 =0.4
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What does the ordered pair (6, 204) represent in this situation?
Answers
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Q: Find the distance from the orange point to the origin. Sketch on the graph to convince us.
Answers
to find the distance between 2 points we use the following formula
\(d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}\)according ti the image point 1 will be (0,0) and point b will be (4,3)
replace this points inti the formula
\(\begin{gathered} d=\sqrt[]{(4-0)^2+(3-0)^2} \\ d=\sqrt[]{4^2+3^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}\)this can be proved by drawing a right triangle using the 2 points like this
using the pithagorean the distance of the 2 points is the hypotenuse which leaves 5 as the distance.
Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
Answers
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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Complete the table by filling in the elapsed tine.
Help pls
Answers
Answer:
RADIUS
==================================
PROBLEM
Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?
SOLUTION
We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.
\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr
\tt{226.08 = 2(3.14) r}226.08=2(3.14)r
'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.
\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}
C=2πr
226.08=2(3.14)r
6.28
226.08
=
6.28
6.28r
C=36
To check:
\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}
circumference
C=2πr
C=2(3.14)(36cm)
C=2(113.04cm)
C=226.08cm
FINAL ANSWER
If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.
\boxed{ \tt \red{r = 36}}
r=36
==================================
#CarryOnLearning
Answer:
1 = 0.56
2 = 0.43
3 = 0.55
4 = 0.49
5 = 0.70
Step-by-step explanation:
I not sure
A data set on SharkAttacks Worldwide posted on StatCranch rocords data on all shark attacks in recorded history including attacks before 1800 . Variables contained in the data indude time of attack, date, location, activily the victim was engaged in when attacked, whether or not the injury was fatal, and species of shark. Which of the following questions could not be answered using the data get? Solect al that apply A. Aracks by which species of thark are more likey ta cesult in a fatality? B. In what month do most shark attacks occur? C. Which count,itwas the most shark attacks per year? D. Are shark antacks more ikely to occur in warm temperature or cooler temperatures?
Answers
3.05 is greater than or less than 3.024
Answers
Answer:
3.024 is greater.
Step-by-step explanation:
3.05 is greater because it expanded is 3.050 vs. 3.024. 3.024 is closer to 1, so it's greater.
A town of 8000 grows 3% yearly how long will it take to reach 16300
Answers
Answer:
around 67 years
Step-by-step explanation:
hope this helps :)
How long will it take to reach 16300
growth is 16300 - 8000 = 8300
using simple interest formula
SI = (P × r × t)/100
8300 = (8000 × 3 × t)100
8300= (80 × 3)t
8300 = 240t
t = 8300/240
t ≈ 34 years to the nearest tenth
7 minus the product of 5 and a number n
Answers
Answer:
= 7 - 5n
Step-by-step explanation:
Product of 5 and n
= 5 × n
= 5n
Subtracted from 7
= 7 - 5n which is the answer.
I really do not know because it does not make sense
PLEASE HELP!!!
Nevaeh and Christian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nevaeh is 650 miles away from the stadium and Christian is 450 miles away from the stadium. Nevaeh is driving along the highway at a speed of 50 miles per hour and Christian is driving at speed of 25 miles per hour. Let NN represent Nevaeh's distance, in miles, away from the stadium tt hours after noon. Let CC represent Christian's distance, in miles, away from the stadium tt hours after noon. Graph each function and determine the number hours after noon, t,t, when Nevaeh and Christian are the same distance from the stadium.
Answers
The linear functions that define their distances are given as follows:
Nevaeh: 650 - 50t.Christian: 450 - 25t.The number of hours after noon in which they will be the same distance away from the stadium is of:
8 hours.
What are the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope.b is the y-intercept.In the context of this problem, the meaning of each parameter is:
The slope is by how much they get closer each hour, which is the velocity as a negative.The intercept is the initial distance.They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.
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Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.
Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.
Answers
Answer:
y=1x-b is thou answer
Answer:
um yeah i have that question but it isnt right?
Step-by-step explanation:
I dont know why it didnt work :(
Triangle LMN has the vertices shown on the coordinate grid.
What is the length of LM?
I’ll give BRAINLIEST
Answers
9514 1404 393
Answer:
d. √74 units
Step-by-step explanation:
The distance formula is useful for finding the length of a line segment.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Filling in the point coordinates L(-5, -3) and M(0, 4), we find the length of LM to be ...
LM = √((0-(-5))^2 +(4 -(-3))^2) = √(25 +49)
LM = √74 . . . units
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
Answers
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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An equation is shown.
1/12(14.4+18)+2.75.
Part A
Rakim starts to evaluate the expression.
Step 1: 1.2 + 18+ 2.75.
The expression Rakim wrote for step 1 is incorrect. Explain how to correct the error in step one.
Enter your explination in the box provided
Answers
Answer:
Step 1 should be (14.4+18)...PEMDAS
Step-by-step explanation:
The expression Rakim wrote for step 1 is incorrect therefore the correct solution will give 5.45.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given an expression as;
1/12(14.4+18)+2.75.
Part A;
Rakim starts to evaluate the expression.
Step 1: first solve the bracket;
1/12(14.4+18)+2.75.
1/12(32.4) + 2.75.
2.7+ 2.75.
= 5.45
The expression Rakim wrote for step 1 is incorrect therefore the correct solution will give 5.45.
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You have 28m of fencing to make a rectangular garden. What different sizes of rectangular gardens could you make with this fencing? Illustrate. What gardens could you not make? What is the largest garden you could makeI'll
Answers
The area of a shape is the amount of space it occupies.
The largest garden you could make is 49 square meters
The perimeter is given as:
\(\mathbf{Perimeter = 28}\)
This is calculated as:
\(\mathbf{2 \times (Length + Width) = 28}\)
Divide by 2
\(\mathbf{Length + Width = 14}\)
This means that, the sum of the dimensions must equal 14.
So, the possible dimensions are:
1 by 13 meters2 by 12 meters3 by 11 meters4 by 10 meters5 by 9 meters6 by 8 meters7 by 7 metersThe garden with the largest dimension is: 7 by 7 meters.
So, the area of garden is:
\(\mathbf{Area = 7m \times 7m}\)
\(\mathbf{Area = 49m^2}\)
The largest garden you could make is 49 square meters
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Convert the number to standard notation.
6.0253 × 109
Answers
Answer:656.7577
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
Kite x=1, y=7
Step-by-step explanation:
It is a kite.
The two lines on the bottom corners of the kite mean they have the same value.
X=1 so 3x+4
3 *1 +4=7
And: x+6
1+6=7.
X+4=1+4=5.
Y=7 so y-2
7-2=5.
Hope it helped you
Use the number line to find the coordinate of the midpoint of each segment. Answer and ill give brainliest
Answers
Answer:
Line Segment AB = -9.5
Line Segment CD = 2
Line Segment GE = 6.5
The midpoint of the segments using the number line are :
AB = - 9.5CD = 2 AE = -1GE = 6.5Recall the midpoint, M formula ;
M = (x1 + x2) ÷ 2
For the segments ;
Segment AB ;A = -12 ; B = - 7
M = (A + B) / 2
M = (-12 + (-7)) / 2
M = (-12 - 7) / 2
M = - 19 / 2
M = - 9.5
Segment CD;C = -2 ; D = 6
M = (-2 + 6) / 2
M = (-2 + 6) / 2
M = 4 / 2
M = 2
Segment AE ;A = -12 ; E = 10
M = (-12 + 10) / 2
M = - 2 / 2
M = - 1
Segment GE ;G = 3 ; E = 10
M = (3 + 10) / 2
M = 13 / 2
M = 6.5
HENCE, THE midpoint of the segments AB, CD, AE and GE are - 9.5, 2, - 1 and 6.5 respectively .
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how do you find the net of a rectangular prism
Answers
Answer:
The formula looks like this:
Surface Area = 2 l w + 2 l h + 2 h w ,where SA = surface area, l = length, w = width, and h = height. In the rectangular prism net above, l = 8 inches, w = 5 inches, and h = 3 inches. Simply put these numbers into the formula and solve for surface area.
The store clerk put b bottles of milk in the cooler, and 11 of the bottles are chocolate milk.
Choose the expression that shows the number of milk bottles that are not chocolate.
11
b- 11
b + 11
11b
Answers
Answer: b-11
Step-by-step explanation:
b= total number of milk
11= total number of chocolate milk
b - 11 = number of milks that aren't chocolate
MP.4 Model with Math
6 cookies in 1 bag . How many Cookies
are in 5 bags ? use the Bar diagram to write and solve an equation .
? Cookies
Answers
Please help me I will choose the Brainliest if it's correct tenkchuu
