Answer:
D
Step-by-step explanation:
The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
From the graph we can tell that the distance of the car is a function and it's a line
Answered by G a u t h m a t h
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
B..The discriminant is equal to 0, which means equation has on real number solutions
The discriminant is equal to 0, which means the equation has one real number solution, option B is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The discriminant of a quadratic equation in standard form, ax² + bx + c = 0, is given by the expression b² - 4ac.
The given equation is -2x² = -8x+8
a = -2, b = 8, and c = -8.
Substituting these values into the formula for the discriminant, we get:
b² - 4ac = (8)² - 4(-2)(-8)
= 64 - 64
= 0
Therefore, the discriminant is equal to 0.
When the discriminant is equal to 0, it means that the quadratic equation has one real number solution (a double root) because the quadratic formula will give only one root.
Hence, the discriminant is equal to 0, the equation -2x² = -8x + 8 has one real number solution.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ5
What is a 14 of the sequence 2, 11, 20, ...?
A. 140
B. 128
C. 119
D. 137
Answer:
The answer is 119
Step-by-step explanation:
Just count, but I did it a different way but multiplying then subtracting.
A Boy obtained 80 percent marks.If the full marks is 800,how much did he get?
9514 1404 393
Answer:
640 marks
Step-by-step explanation:
80% of 800 is ...
0.80 × 800 = 640
He got 640 marks.
passes through (−3, 7) and is parallel to y = 4x − 1.
Answer:
Equation of the line is y = 4x + 19
Step-by-step explanation:
slope, m = 4
[tex]y = mx + c[/tex]
consider (-3, 7):
[tex]7 = (4 \times - 3) + c \\ 7 = - 12 + c \\ c = 19[/tex]
equation:
[tex]y = 4x + 19[/tex]
Answer:
y = 4x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x - 1 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes, then
y = 4x + c ← is the partial equation
To find c substitute (- 3, 7) into the partial equation
7 = - 12 + c ⇒ c = 7 + 12 = 19
y = 4x + 19 ← equation of parallel line
Below are the ratings for a sample of 12 hotels in small Ontario towns:
1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2
The critical values of this data set are given:
Q1=4.8 Q2=6.6 Q3=7.2
a) Determine the following and show all work: [3 marks]
i) interquartile range (IQR)
ii) upper boundary and lower boundary
iii) any outlier(s)
b) Create a modified box plot for the data, showing any outlier(s). [1 mark]
c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]
Answer:
a)
i) Interquartile range is 2.4
ii) Upper boundary is 10.8
The Lower boundary is 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
b) The modified boxplot with one outlier is given in the diagram.
c) The 80th percentile is
The minimum rating the hotel can get is 7.3
Step-by-step explanation:
a)
i) Interquartile range is
IQR = Q3-Q1 = 7.2-4.8 = 2.4
ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8
Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
c) The 80th percentile is given by
n= 12
k = 0.80
Index is given by k*n =0.80*12 = 9.6
Round to nearest whole number, that is 10th
80th percentile is the 10th number (arranged in ascending order)
80th percentile = 7.3
The minimum rating the hotel can get is 7.3.
b) The modified boxplot with one outlier is given as follows,
find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
Learn more about "shapes" here-
brainly.com/question/25965491
#SPJ2
michelle is 3 times as old as her sister tina. Tina is 4 years younger than michelle. How old is tina now?
Answer:
Tina's age = 2 years
Step-by-step explanation:
Tina's age = x
Michelle's age = 3 * x = 3x
Tina is 4 years younger than Michelle.
x = 3x - 4
Add 4 to both side
x +4 = 3x
Subtract x from both sides
4 = 3x - x
4 = 2x
Divide both sides by 2
4/2 = x
2 = x
Tina's age = 2 years
Help me please, IXL keeps messing me up
Algebra 1 need help fast
Answer:
1st option
Step-by-step explanation:
at the 3rd hour, the money was $100
At 7th hour, the money increased to $160
Now, the rate is,
(160-100)/(7-3)
= 60/4
= 15
so, $15 per hour
please answer this question!
Answer:
<A = 51
Step-by-step explanation:
Since AB = AC ( shown by the lines on the sides) we know that this is an isosceles triangle
Since the sides are the same, the base angles are the same
<A = <C
<C = 51 so <A = 51
subtract -5/6 from 1/3
Answer:
1 1/6
Step-by-step explanation:
1/3 - (-5/6)
Subtracting a negative is like adding
1/3 + 5/6
Get a common denominator of 6
1/3 *2/2 + 5/6
2/6 + 5/6
7/6
6/6 + 1/6
1 1/6
Answer: -1 1/6
Step-by-step explanation: -5/6 - 1/3 (2/2) -5/6 - 2/6 -7/6 -1 1/6
Expand and simply
(5x + 4)²
Answer:
25x^2 +40x+16
Step-by-step explanation:
(5x + 4)²
(5x+4)(5x+4)
FOIL
first 5x*5x = 25x^2
outer 5x*4 = 20x
inner 4*5x = 20x
last = 4*4 = 16
Add them together
25x^2 +20x+20x+16
Combine like terms
25x^2 +40x+16
Answer:
[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]
What is the average rate of change for the function f(x) = –4x2 + 1 over the interval –3/2 ≤ x ≤ 0?
Answer:
6
Step-by-step explanation:
To find the average rate of change, we must calculate the slope over the interval -3/2 to 0. We can use the formula below.
f(b) - f(a) / b - a
f(0) - f(-3/2) / 0 - -3/2
1 - -8 / 3/2
9 / 3/2
18/3
6
Brainliest, please!
Z varies directly as x/y² and y varies inversely as x,if z=⅓ when x =2 and y=¼. Express (a). Y interms of x and (b). Z interms of x
Answer:
Baba
Step-by-step explanation:
Booey
Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest
Answer:
[tex]7\frac{5}{9}[/tex]
Step-by-step explanation:
Hi there!
We are given this expression:
34÷(14-5)×2
And we want to evaluate it
We'll be using the order of operations
Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
The order of operations states that we should start with any expressions in parentheses
In this case, it's (14-5), which is equal to 9
The expression now becomes
34÷9×2
There are no exponents, so let's skip that
Now this is where it gets tricky:
Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication
Divide 34 by 9
[tex]\frac{34}{9}[/tex]×2
Now multiply [tex]\frac{34}{9}[/tex] by 2
[tex]\frac{68}{9}[/tex]
(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])
Hope this helps!
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks.
Answer:
Step-by-step explanation:
1.68/6=0.28 per pencil in pack 1
2.34/9 =0.26 per pencil in pack 2
So pack 2 is better in terms of Maths
But in business, people prefer pack 1
Which of the following are irrational numbers?
5
8.555...
N
1
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
8.555.... is a irrationtional number .
If a fourth plant produces 150 widgets in 60 days, which statement is true?
A. It makes more than Plant A.
B. It makes less than Plant B.
C. It makes less than Plant A.
====================================================
Explanation:
At the 60 day mark, the following number of widgets are produced
Plant A = 300 widgetsPlant B = 100 widgetsPlant C = 200 widgetsThe fourth plant makes 150 widgets, which is between B and C
We see that the fourth plant does not make more than Plant A, so we can rule out choice A.
The fourth plant does not make less than Plant B, which allows us to rule out choice B.
The only thing left is choice C. Sure enough, this statement is true since 150 widgets made at the fourth plant is less than 300 made in Plant A. This is why choice C is the answer.
more points and more brainliest! Just answer this question
(correct answer will get brainly)
Answer:
There are 3 numbers that are not whole numbers.
3/4, 3.7, and sqrt 3 are not whole numbers
Answer:
3
Step-by-step explanation:
There are only 3 that aren't whole numbers. The whole numbers are: 32, 1,265, 3000, and 1. The numbers that aren't whole are: 3/4, 3.7, and √3
Find measure of one exterior angle in each regular polygon
Answer:
Pentagon = 72°
Octagon = 45°
Step-by-step explanation:
To solve for the measure of one exterior angle in a regular pentagon;
n = number of sides
180 - (180 x n-2/n)
180 - (180 x 5-2/5)
180 - (180 x 3/5)
180 - (540/5)
180 - 108
Exterior angle = 72°
To solve for the measure of one exterior angle in a regular octagon;
n = number of sides
180 - (180 x n-2/n)
180 - (180 x 8-2/8)
180 - (180 x 6/8)
180 - (1080/8)
180 - 135
Exterior angle = 45°
HELP PLS
18-8×2+10= ?
Round the number 553 to the tens place.
is it 550? because 3 is less than 5 so I replace it with a 0
Answer:
550
Step-by-step explanation:
To round 553 to the tens place, we would need to identify the value of the digit in the ones place.
If the digit in the ones place is greater than 5, we increase the tens place by 1 & convert the ones place into a 0.
If not, we leave the tens place as is & convert the ones place into a 0.
Since 3 is less than 5, we round 553 to 550 so you are correct.
Answer:
Yes
550 has 2 sig figs
553 has 3
Step-by-step explanation:
Which sequence is arithmetic? Check all that apply.
•0, 8, 16, 24
•7, 12, 17, 22
•6, 12, 24, 48
•8, 14, 20, 26
•11, 18, 23, 30
•12, 17, 22, 29
•15, 30, 60, 120
Answer:
Sequences 1,2, and 4 are arithmetic.
Step-by-step explanation:
Each term in sequence 1 gets added by 8.
Each term in sequence 2 gets added by 5.
Each term in sequence 4 gets added by 6.
the sum of two numbers is 20,one number is 4 less than the other.find the number
(0.000010)(0.00055)(0.002)
Answer:
[tex]1.1*10^{-11}[/tex]
I used a calculator.
Answer:
[tex]1.1*10^{-11}[/tex]
Step-by-step explanation:
0.000010*0.00055*0.002= 1.1*10^-11 or basically 0.
ONLY ANSWER IF YOU KNOW, SHOW WORK
Answer:
hello,
Step-by-step explanation:
[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
Given m LM=130, find m KLM
Answer:
65 degrees because tangent chord angles are half the size of the arc
what is soil erosion
Answer:
Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.
It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.
Use
inductive reasoning
to
describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81, ...
Answer:
I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729
Step-by-step explanation:
each number is being multiplied by a factor of (-3).