Answer:
[tex]y = 5x + 20[/tex]
Step-by-step explanation:
Given
[tex]m = 5[/tex] -- slope
[tex]c = 20[/tex] --- y intercept
Required
The table
No options are given. So, I will just work on the equation.
The linear equation of a function from the slope and the y intercept is:
[tex]y = mx + c\\[/tex]
Substitute values for m and c
[tex]y = 5x + 20[/tex]
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x plus 7 end quantity minus 1 equals x
Answer:
x=2 true solution
x=-3 extraneous
Step-by-step explanation:
sqrt(x+7) -1 = x
Add 1 to each side
sqrt(x+7) -1+1 = x+1
sqrt(x+7) = x+1
Square each side
(sqrt(x+7))^2 = (x+1)^2
x+7 = x^2 +2x+1
Subtract x from each side
7 = x^2 +x +1
Subtract 7 from each side
0 = x^2 +x - 6
Factor
0 = (x+3)(x-2)
Using the zero product property
x+3 = 0 x-2 =0
x=-3 x=2
Check solutions
x=-3
sqrt(-3+7) -1 = -3
sqrt(4) -1 = -3
3 =-3 extraneous
x=2
sqrt(2+7) -1 = 2
sqrt(9) -1 = 2
3 -1 =2
2 =2 true
What is the smallest prime number that is also a multiple of 20?
Answer:
Hello,
Step-by-step explanation:
In order to cut off ( pour couper court)
all multiple of 20 are divisible by 20, so they are not primes.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity
Answer:
A: population
Step-by-step explanation:
Um its just the definition of the word i think.
Population: a collection of persons, things, or objects under study.
round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s
Answer:
per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s
Step-by-step explanation:
divide both sides by 55 to get one.
divide both sides by 25 to get one
THEN
to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.
Write the correct answer on each blank.
1. Algebra is a continuation of arifmetic
using letters of the
to represent numbers.
Answer:
Step-by-step explanation:
alphabet to represent numbers.
An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is built, what will be the area of the square?
Answer:
36 ft²
Step-by-step explanation:
equilateral means all sides are equally long.
a triangle has 3 sides.
in our case they are all equally long.
and their sum (all 3 sides together) is the perimeter
P = 18 = 3 × side length
side length = 18/3 = 6 ft
a square with the same side length (6) had then an area of
side length × side length = 6×6 = 6² = 36 ft²
it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.
Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
factorise the expression 6x²y + 15xy²
Find the value of b. PLEASE HELP ASAPPPP!!!!
A. 56
B. 140
C. 230
D. 65
Answer:
C
Step-by-step explanation:
b=360-2(65)=360-130=230
Answer:
230
Step-by-step explanation:
b= 360-2(65)
=360-130
=230
Find the 6th term of each geometric sequence. 9, 45, 225, 1125
Answer:
28125
Step-by-step explanation:
Refer to the image below.
Find the coordinate of J' after a reflection of the triangle about the y-axis. Write your answer in the form (a,b)
Answer:
A (3,3)
J (5,2)
L (0,0)
Step-by-step explanation:
.........................
Find the area of the figure.
we observe that this figure could be divided into a triangle and a rectangle.
for the area of the triangle, bxh/2, we have 15 x 12/2 = 90
and for the rectangle, we have 5 x 12 = 60
so, 90 + 60 = 150
hope it helps :)
find the missing side lengths
Sally decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for her softball team.
Part 1) Write an algebraic expression that represents the total cost of the food if Sally buys x quarts of ice cream and y boxes of pizza.
Part 2) What is the total cost of Sally’s purchase if x=4 and y=5? Be sure to show your work.
Answer:
5x + 10y
5*4 + 10*5
20+50 = $70
Step-by-step explanation:
Use a calculator to find the mean of the data. {20.9, 24.6, 20.3, 24, 20.9, 24.9, 22.4,
23.5, 21.9, 21.9, 22.3, 21.2, 19.9, 23.2, 23.1, 21.6, 24, 20.8, 24.2, 20.1, 22.9, 25}
Answer:
The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)
you add them then divide by 22 since it has 22 terms, to find the mean
Answer:
use a calculator and add all values and divide by 22
u et final value as ( as per me not sure..maybe mistake) is
493.6/22 and ans Is 22.4363636364
Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer leg. Determine the lengths of the three sides of the triangle. (3 marks)
Answer:
5, 12, 13
Step-by-step explanation:
let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg
Using Pythagoras' identity in the right triangle
x² + (x - 7)² = (x + 1)² ← expand using FOIL
x² + x² - 14x + 49 = x² + 2x + 1
2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )
x² - 16x + 48 = 0 ← in standard form
(x - 4)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 12 = 0 ⇒ x = 12
x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible
x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13
The lengths of the 3 sides are
longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m
Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56
Answer:
A
Step-by-step explanation:
Note the expansion
tan(a - b) = [tex]\frac{tana-tanb}{1+tanatanb}[/tex]
We are given the right side of the expansion , then left side is
tan([tex]\frac{\pi }{7}[/tex] - [tex]\frac{\pi }{8}[/tex] )
= tan([tex]\frac{8\pi -7\pi }{56}[/tex] )
= tan ([tex]\frac{\pi }{56}[/tex] ) → A
please someone help me! asap!!
Answer:
Last option= 30 minutes
Do the ratios 9/4 and 18/8 form a proportion?
Yes
Step-by-step explanation:
I believe so. Hope this helps
Find the area of the shaded region
Answer: Ssh=1323π
Step-by-step explanation:
The point O Centre big circle r1=2r2=4 then radius small cirler r2=21Then S1=42²π=1764 ; S2=21²π=441 π S(shaded)=S1-S2=?Ssh=(1764-441)π=1323πSabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?
Answer pls……………………….
Answer:
D
Step-by-step explanation:
x^2=y^3
Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2
Answer:
z = 2
Step-by-step explanation:
[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]
As bases are same, compare the powers
3z = 6
z = 6/3
z = 2
Can someone help me with this please !!
Step-by-step explanation:
I need help to...
I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.
A chocolate factory has three classifications for the candies that it makes:
Caramels (12 varieties). please help!!!
Milk Chocolate (6 varieties)
Dark Chocolate (9 varieties)
1. Set up the NOTATION to figure out the different ways to choose 7 of the 12 Caramels
2. Set up the NOTATION to figure out the different ways to choose 3 of the 6 Milk Chocolates
3. Set up the NOTATION to figure out the different ways to choose 5 of the 9 Dark Chocolates
4. A customer has ordered an assortment to consist of seven types of caramels, three types of chocolate, and five types of dark chocolates.
How many such assortments are possible?
Answer:
1. 792 2. 20. 3. 126. 4.1995840
Step-by-step explanation:
Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.
1) n=12 (total quantity); r= 7
C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792
2) n=6 r=3
C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.
3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126
4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results
792*20*126= 1995840.
Convert 7 6/7 into an improper fraction.
Answer:
55/7Explanation:
Step 1
Multiply the denominator by the whole number
7 × 7 = 49
Step 2
Add the answer from Step 1 to the numerator
49 + 6 = 55
Step 3
Write answer from Step 2 over the denominator
Answer = 55/7
I hope you are enjoying your day and that this helps you out! Brainliest would be appreciated :)Answer:
55/7
Step-by-step explanation:
To convert 7 6/7 to an improper fraction
Start by multiplying the whole number with the denominator 7 x 7 = 49Then add the numerator to the number you get 49 + 6 = 55 The 55 will be your numerator for your improper fraction. 55/7 The denominator will remain the same7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但
Answer:
000
Step-by-step explanation:
000
For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:
There is no a that will make f(x) continuous.
No matter what value of a you pick, you will always have the one-sided limits,
[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
but f(a) = 8 regardless of a.
The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.
Answer:
20 and 55
Step-by-step explanation:
Let's assume, we have two numbers 'x' and 'y'.
Now, all we know is:
one number exceeds the other by 35 (i.e their difference is 35)sum of two numbers is 75So we form two equations:
x + y = 75_____(i)
and x - y = 35
so, x = y+35 _____(ii)
Put the value of x from (ii) into (i)
x + y = 75
y + 35 + y = 75
2y = 40
y = 20
Put value of y back in (ii)
x = y+35
x = 20 + 35
x = 55
The first number is 20, and the second number is 55.
Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.
Let's assume the first number is x.
According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).
The sum of the two numbers is given as 75, so we can set up the equation:
x + (x + 35) = 75
Simplifying the equation, we get:
2x + 35 = 75
Subtracting 35 from both sides:
2x = 40
Dividing both sides by 2:
x = 20
Therefore, the first number is 20, and the second number is (20 + 35) = 55.
Learn more about numbers click;
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What is the intersecting point of these two lines?
1. y = 3/4x + 6
2. y = x + 1
