Answer:
X intercept: x = 4 or in point form (4,0)
Zero for the function at (4, 0)
Y intercept : y = 160 or in point form (0,160)
slope = -40 mph
Step-by-step explanation:
The y-intercept, x-intercept are directly obtained from the graph by noticing the points on the axes where the line crosses them.
The slope is calculated using the points (0, 160) and (4, 0) and the formula for the slope of the segment that joins them:
slope = (y2 - y1)/(x2 - x1) = (160 - 0) / (0 - 4) = -160/4 = -40
and the units of the slope are miles over hour (that is miles per hour or mph)
Fifty students are going on a field trip. Twenty of the students are boys. What percent of the students are girls?
Answer:
60% would be the correct answer
Step-by-step explanation:
The girls percentage among students is 60%.
What is a percentage?A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
For the given situation,
Total number of students = 50
Number of boys = 20
Number of girls = [tex]50-20[/tex]
⇒ [tex]30[/tex]
Thus, girls percentage is
⇒ [tex]\frac{30}{50}(100)[/tex]
⇒ [tex]60[/tex]
Hence we can conclude that the girls percentage among students is 60%.
Learn more about percentage here
https://brainly.com/question/12861068
#SPJ2
Find the slope of the line passing through the points (5,6) and (5,-4).
Answer:
subtract -4-6/5-5
Step-by-step explanation:
Answer is no solution
$46.76 for 4 pounds. What is the price per pound?
9514 1404 393
Answer:
$11.69 per pound
Step-by-step explanation:
To find price per pound, divide price by pounds:
$46.76/(4 lb) = $11.69/lb
-5 is a rational number and an integer yes or no
Answer:
Yes
Step-by-step explanation:
Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers
There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36
Answer:
It is 3
Step-by-step explanation:
Answer:
It is 3
Step-by-step explanation:
x+12x-13 = 0 and azo, what
is the value x+lo?
Help:(
At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two
switches are used in a device, what is the probability that both switches are good?
0.9604
b. 0.02
C. 0.98
d. 49
Answer:
A) 0.9604
Step-by-step explanation:
Because it is.
whats 2 plus 2? do u know?
A 190-second song is divided into 3 parts, the beginning, the middle, and the end. The beginning is 1/6 as long as the end. The middle part is 1/2 as long as the end. Find the length of each part.
The beginning is ____ seconds
The middle is _____ seconds
The end is ______ seconds
Answer:
The beginning part is 19 seconds.
The middle part is 57 seconds.
The end part is 114 seconds.
Step-by-step explanation:
First, you have to form expressions. Let the end part be x :
Beginning = (1/6)x
Middle = (1/2)x
End = x
Next, you have to add up altogether equals to 190 :
(1/6)x + (1/2)x + x = 190
(5/3)x = 190
x = 190 ÷ (5/3)
x = 114 s
Lastly, you have to substitute the x-value into the expressions :
Beginning = (1/6)(114) = 19 s
Middle = (1/2)(114) = 57 s
End = 114 s
Answer:
b is 19 seconds
m is 57 seconds
e is 114 seconds
Step-by-step explanation:
total = b + m + e
total = 1/6e + 1/2e + e
190 = 1/6e + 1/2e + e
190 = 10/6e
190 * 3/5 = e
114 = e
(1/6)e = b = (1/6)(114) = 19
(1/2)e = m = (1/2)(114) = 57
If f(x) = 2x2 + x-1, then f(-5)
= ?
Answer:
-54
Step-by-step explanation:
(-5)^2 = -25
2(-25)+ -5 +1 =-54
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5) = 2x2 + -5 -1
f(-5) = 4 - 6
f(-5) = -2
2.6586 divided by 0.633
Answer:
4.2
Step-by-step explanation:
Which expression is a prime polynomial, x^3-1, x^2+1, x^3+1, x^2-1
Answer:
[tex]x^2+1[/tex] cannot be factored, thus it's a prime polynomial
Step-by-step explanation:
A prime number or expression cannot be factored in any factor different from 1 and the number or expression itself.
One of the following expressions is prime. The rest of them can be factored.
[tex]x^3-1[/tex] is the difference of two cubes. It can be factored as:
[tex]x^3-1=(x-1)(x^2+x+1)[/tex]
[tex]x^3+1[/tex] is the sum of two cubes. It can be factored as:
[tex]x^3+1=(x+1)(x^2-x+1)[/tex]
[tex]x^2-1[/tex] is the difference of two squares. It can be factored as:
[tex]x^2-1=(x-1)(x+1)[/tex]
[tex]\mathbf{x^2+1}[/tex] cannot be factored, thus it's a prime polynomial
Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2
Answer:
7 + 9x
Step-by-step explanation:
add 5 and 2 and 9x doesn't have a like term so it stays the same
Answer:
9x + 7
Step-by-step explanation:
Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.
Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. Moore drive in March
Answer:
25
Step-by-step explanation:
200 divided by 8
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
OA. VE2
✓ B. 1: 13
C. 5 : 13
OD. 2.5: 6
E. 1: 2
OF. : 3
Answer:1 squad 3
2 squad 3 :6
Step-by-step explanation:
Carson's pool is leaking at a rate of 18 gallon of water every 14 hour. If the leak continues at the same rate, how much water will have leaked from Carson's pool after 1 hour?
Answer:
1 gallon water has leaked
Step-by-step explanation:
Which set of ordered pairs represents a function?
o{(1,3) (2,5) (4,9) (4, 13)}
o{(1,3) (1,5) (4, 9) (6,3)}
o {(1, 3) (2,5) (2, 9) (6, 13)}
O {(1,3) (2,5) (4, 9) (6,5)}
Answer:
The answer is D
Step-by-step explanation:
Answer please ? Find the perimeter of the figure ( must include all sides )
Answer:
32 ft
Step-by-step explanation:
First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22
There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.
Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).
Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.
Hope this helped!
Melody is factoring the expression x^3 - 2x^2 + 4x - 8. Her first two steps are shown.
x^3 - 2x^2 + 4x - 8 = x^2(x - 2) + 4(x - 2)
= (x^2 + 4)(x - 2)
What should Melody do next to finish factoring the expression?
A. Melody has completely factored the expression.
B. Melody should rewrite (x^2 + 4) as (x - 2)^2
C. Melody should rewrite (x^2 + 4) as (x - 2)(x + 2)
D. Melody should rewrite (x^2 + 4) as (x + 2)^2
Answer:
A, melody completed factoring
Step-by-step explanation:
Melody has completely factored the expression which is correct option(A).
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Given the expression,
⇒ x³ - 2x² + 4x - 8
⇒ x²(x - 2) + 4(x - 2)
⇒ (x² + 4)(x - 2)
So, factors of given expression are (x² + 4) and (x - 2).
Hence, Melody has completely factored the expression.
Learn more about expression here:
https://brainly.com/question/13947055
#SPJ5
To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18
Answer:
Step-by-step explanation:
helpppppppppppppppppppp
Consider the line -7x - 5y=4.
Best estimate of the total spent, not including tax 6.52 + 19.89 + 21.15
Answer:
47.56
Step-by-step explanation:
Zach mows lawns. He charges $5 plus $3 per hour. Alex also mows lawns He charges $2 plus $4 per hour. How many hours do they need to work to make the same amount
Answer:
They both need to work 3 hours to get the same amount of $14.
Step-by-step explanation:
If you have a graphing calculator handy, just graph the two expressions 3x + 5 and 4x + 2 and look for the point where they intersect. If you don't have a graphing calculator set up the equation 3x + 5 = 4x + 2. Subtract 4x from both sides to get -x + 5 = 2. Then subtract 5 from both sides to get -x = -3. Since x shouldn't be negative, divide both sides by -1. You do this because just like x is 1x, -x is -1x. After dividing, you should get x = 3.
Find the value of 45\75=5
Answer:
.6
Step-by-step explanation:
4х + 1 cm
3х – 2 cm
Simplified
Answer:
x= -3
Step-by-step explanation:
4x+1=3x-2
4x-3x=-2-1
x={-3}
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answer:
I think its 3/2
hope it will help you
Factorise fully
10c + 25
Answer:
5(2c+5)
I hope this helps
If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?
Answer:
Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!
Step-by-step explanation:
(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️
(6) 2xº = 86º ==> x = 43
(7) 108º = 3xº ==> x = 36
(8) 72º = 4xº ==> x = 18
(9) 111º = (x + 21)º ==> x = 90
Answer:
1.
2x=86
x=43
2.
3x=108
x=36
3.
4x=72
x=18
4.
x+21=111
x=90