Answer:
Step-by-step explanation:
1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,
m = [tex]\frac{-10-18}{2+2}[/tex]
m = -7
2). From the table attached,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of line passing through (4, -6) and (0, -2) will be,
Slope = [tex]\frac{-6+2}{4-0}[/tex]
Slope = -1
Determine the range of the following graph:
Answer:
Range: [-1, 6)
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our line's y-values span from -1 to 6. Since -1 is closed dot, it is inclusive in the range; since 6 is open dot, it is exclusive from the range:
Interval Notation: [-1, 6)
Inequality Notation: -1 ≤ y < 6
Sara earned money selling pies and cakes. For the cakes, she made a profit of $200 with an expense of $4 per cake. For the pies, she made a profit of $250 with an expense of $5 per pie. She sold the same number of cakes and pies. How many pies did Sara sell if she earned the same total profit for pies and cakes? Write an equation and then solve for x.
Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.
Answer:
I would say y=45x+25
I’m doing the same workbook page
(If this is wrong I’m sorry)
Hope this helps
Have a great day/night
can someone pls help!!!!
Let the Universal Set , S, have 132 elements . A and B are subsets of S. Set A contains 63 elements and Set B contains 35 elements . If the total number of elements in either A or B is 89 , how many elements are in A but not in B?
Answer:
8 elements
Step-by-step explanation:
From the question given above, the following data were obtained:
Universal set (S) = 132
Set A = 63
Set B = 35
n(AuB)ᶜ = 89
n(A but not in B) =?
Next, we shall determine the number of elements common to both set A and Set B. This can be obtained as follow:
Let the number common to both set A and B be x i.e
(AnB) = x
nA = 63
nB = 35
n(AuB)ᶜ = 89
Universal set (S) = 132
S = nA + nB + n(AuB)ᶜ – (AnB)
132 = 63 + 35 + 89 – x
132 = 187 – x
Collect like terms
132 – 187 = – x
– 55 = – x
Divide both side by –1
x = –55 /–1
x = 55
Thus, the number of elements common to set A and B is 55.
Finally, we shall determine the number of elements in A but not in B as follow:
nA = 63
n(AnB) = 55
n(A but not in B) =?
n(A but not in B) = nA – n(AnB)
n(A but not in B) = 63 – 55
n(A but not in B) = 8
Thus, 8 elements are in set A but not in set B.
what is the unit rate of $52.5 7h
Answer:
= 7.5 USD per hour
Step-by-step explanation:
This is a fraction equal to
52.5 USD ÷ 7 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 7
[tex]\frac{52.5}{7}[/tex]= 7.5 USD per hour
you take two steps every hour how long would it take to walk 20 miles
Answer:
21120 hours long
Step-by-step explanation:
42240=20 miles
42240/2=21120h
Answer:
200 hours (yes, very long)
Step-by-step explanation:
You take about 2,000 steps a mile. So, you have to multiply 2,000 by 20 which is 40,000. Then, you have to divide 40,000 by 20. Lastly, you will end up with 200 hours as your answer.
Hope this helps :)
a ream (500sheets) of paper is 8cm thick how thick is a pile of 1200sheets
Answer:
19.2cm
Step-by-step explanation:
You can solve with a proportion because all sheets of paper are the same thickness
[tex] \frac{500}{8} = \frac{1200}{x} [/tex]
[tex]x = \frac{1200 \times 8}{500} [/tex]
x = 19.2cm
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
the teach writes 10/12 on the bored. Write this fraction in simplest form.
Answer:
the simplest form is 5/6
Step-by-step explanation:
I hope this helps!
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
x2 - 2x + 4 = 0
How many solutions
Answer:
Step-by-step explanation:
x^2-(2+2)x+4=0
or, x^2-2x-2x+4=0
or, x(x-2)-2(x-2)=0
or, (x-2)(x-2)=0
Now,
Either, x-2=0
=2
Or, x-2=0
=2
g(t) = 2t - 2
h(t) = 2t - 5
Find g(t) + h(t)
Answer:
[tex]g(t) + h(t) \\ (2t -2 ) + (2t - 5) \\ (4t - 7)[/tex]
(4t-7) is the right answer.
Step-by-step explanation:
g(t) = 2t - 2
h(t) = 2t - 5
g(t) + h(t)
(2t - 2) + (2t - 5)
2t - 2 + 2t - 5
(4t - 7) ✓✓✓✓
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
Does the system have no solution?
Answer:
[tex]\mathrm{A)\:}-6[/tex]
Step-by-step explanation:
Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.
Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.
I need help with math I’m bad at it
Simplify the expression. Explain each step.
6(2b)
Answer:12b
Step-by-step explanation:
Here,
We have only one variable
So we can multiply it with number
=6×2b
=12b
Hope it helps you
Plz mark me brainliest.
Roberto wrote the pattern shown below. What is the rule for following Roberto's pattern?
96, 48, 24,12
A. subtract by 48
B. divide by 2
C. multiply by 2
D. subtract by 42
Answer:
its b because
Step-by-step explanation:
24÷12 is 2 and if u do 12 × 2 and keep going u will get the next answer
16 cm
20 cm
15 cm
20 cm
find the volume of the prism
Answer:
267.
Step-by-step explanation:
Evaluate the expression when g=7 and h= 5 8h + g
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
Sara earns $80.50 for 7 hours of pet sitting. She earns the same amount per hour each time she pet sits. How many hours does Sara need to pet sit to earn $138
Answer:
12
Step-by-step explanation:
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
Can you guys please help me fill this up plz
What is the least common multiple (LCM) of 5 and 12?
Answer:
60
Step-by-step explanation:
Hope this helps
Answer:
60
Step-by-step explanation:
Which statement about these triangles is true?
PLEASE I REALLY NEED HELP DONT SAY RANDOM STUFF
Answer:
c.180
Step-by-step explanation:
45 times 4= 180
.y = x-7
y = -4x + 3
what’s their intercepting points
Answer:
2,-5
Step-by-step explanation:
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
Need help on this please
Answer:
A
Step-by-step explanation: