Answer:
[tex]y=-x+11[/tex]
Step-by-step explanation:
We know that the new equation must be parallel to [tex]y=-x-5[/tex].
Therefore, since they are parallel, the slope of the new equation must be the same as the old.
The slope of the original equation is -1.
Therefore, the slope of our new equation is also -1.
We also know that it has a y-intercept at (0, 11).
And as determined earlier, it has a slope of -1.
So, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We will substitute -1 for m and 11 for b. Thus, our equation is:
[tex]y=-x+11[/tex]
Factorise each of the following 2x^2+7x+5
Tanisha rode her bike 19.625 miles in 2.5 hours. What was her average speed
Answer:
7.85mph
Step-by-step explanation:
19.625mi / 2.5hr = 7.85mph
Answer:
Step-by-step explanation:
I know that
in a club there are 7 boys and 8 girls.write the ratio of boys to girls in 3 different ways
Answer:
8:7
8 to 7
8/7
3 ways yep
A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components [3, 7]. Around 6 a.m. on the same path, the hurricane is 1/10 the total distance from where it was detected initially to where it will make landfall.
If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.?
A) components: [0.30, 0.70], magnitude: 0.76
B) components: [0.30, 0.70], magnitude: 76
C) components: [30,70], magnitude: 0.76
D) components: [30,70], magnitude: 76
Answer:
The correct option is;
A) Components: [0.30, 0.70], magnitude: 0.76
Step-by-step explanation:
The given parameters are;
The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]
The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall
Therefore;
The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]
The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.
Leading term of -20(x - 2)^15 (4-x)^11
9514 1404 393
Answer:
20x^26
Step-by-step explanation:
The leading term is the one with the highest degree.
In the expansion of (x-2)^15, that will be x^15.
In the expansion of (4-x)^11, that will be (-x)^11 = -x^11.
So, the leading term of the product is ...
(-20)(x^15)(-x^11) = 20x^26
__
In the attached, terms are listed in order of increasing degree, so the "leading" term appears last.
============================================
Work Shown:
The leading term for (x-2)^15 is x^15
The leading term for (4-x)^11 is -x^11
Multiply the outer value -20 with each of those leading terms to get
-20*x^15*(-x^11)
20x^(15+11)
20x^26
which is the leading term of -20(x - 2)^15 (4-x)^11
3. What is the distance from the tire to the bird?4. 3
2
1
0
-1
-2
-3
9514 1404 393
Answer:
7 units
Step-by-step explanation:
The bird is shown at a vertical position of +4. The tire is shown at a vertical position of -3.
The distance between them is the difference between their position coordinates:
4 -(-3) = 4 +3 = 7 . . . units
can someone help me
2x-3y=14, 5x+4y=12
What does four more than one-third x
Answer:
it means 4 times 1/3x
4x/3
Help me pleaseeee I’ll make u brianlist
Answer: 1 is d i think
2 is c i think
Step-by-step explanation:
Answer:
The answer to the first question is C (1,-2)
The answer to the second question is B (-1,3) (4,2) (5,-3) (-5,-2)
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
The theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).
What is the Hypotenuse-Leg Congruence Theorem?The Hypotenuse-leg Congruence Theorem (HL) states that if one leg and hypotenuse of a right triangle are congruent to one corresponding leg and hypotenuse of another, both right triangles are congruent.
The two right triangles have a pair of congruent legs and a pair of congruent hypotenuse.
Therefore, the theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).
Learn more about Hypotenuse-leg Congruence Theorem (HL) on:
https://brainly.com/question/16921692
Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2^(x−5) + 3, g(x) = 2x − 5, h(x) = 8/x + 10
very fast please
Answer:
The point where all three lines meet is (8, 11)
Step-by-step explanation:
The given functions are;
f(x) = x²⁽ˣ ⁻ ⁵⁾ + 3
g(x) = 2·x - 5
h(x) = 8/x + 10
Equating the simpler functions g(x) to h(x) to find the points of the same value gives;
2·x - 5 = 8/x + 10
2·x - 15 = 8/x
2·x² - 15·x = 8
2·x² - 15·x - 8 = 0
With the aid of an online application, we have;
(2·x + 1)(x - 8) = 0
x = -1/2, or x = 8
The y-values at the point of intersection, is given as follows;
g(x) = 2·x - 5 = 2×(-1/2) - 5 = -6 or g(x) = 2·x - 5 = 2×(8) - 5 = 11
The points where g(x) and h(x) meet are (-1/2, -6) and (8, 11)
To check where the point of intersection of the two functions g(x) ang h(x) meet f(x), we have;
At x = -1/2, f(x) = [tex]2^{(0.5 - 5)} + 3[/tex] = 3.0442
At x = -1/2, f(x) = 2⁽⁸⁻⁵⁾ + 3 = 8 + 3 = 11
Therefore, the point where all three lines meet = (8, 11).
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old, Freda is 13 years old and Geoff is 18 years old.
How much should they each get?
The ratio of girls to boys in a a chess club was 4 : 4. There were 24 boys. How many total members were there in the club?
Answer:
48 members
Step-by-step explanation:
Add the numbers in the ratio: 4+4=8
Divide: 24boys/4=6
Multiply: 6*8=48
Now we know there are 48 people. Take it a step forward..how many girls?
EASY!
4*6=24 girls
We know this works because 24+24=48
*Note: the 4's come from the ratio*
Please help I don’t understand
Please help this is for math....
You have ¾ cup of flour for making biscuits. Each biscuit requires ⅛ cup of flour. How many biscuits can you make? *
Answer:
6
Step-by-step explanation:
I think this is correct, I did it in my head so yea.
Answer:
6
Step-by-step explanation:
to make the denominator that same multiply the whole 3/4 to get 6/8 then divide it by the 1/8 so the answer is 6
The monthly payment for a car lease is $530 for 18 months. The down payment is $2,000. The residual value is $7,000. What is the total cost of the lease? A. $18,540 B. $20,540 C. $25,540
Answer:
18540
Step-by-step explanation:
18 times 530 = 9540
9540 + 2,000 + 7,000= 18540
I did 18 times 530 because it said 530 for 18 months
Jay O'Brian bought two magazines. One cost $3.50 more than the other. The total cost was $17.00.
Which amount did Jay pay for the lower priced magazine?
A.20.50
B.13.50
C.10.25
D.8.25
E. 6.75
Answer:
E. $6.75
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
We would have to subtract the total cost to the cost that is $3.50 more than the other
We do $17.00 - $3.50, would give us $13.50,
We divide the answer by two as O'Brian bought two magazine,
this will leave us with the answer 13.50/2 = 6.75
Add 15.438 and 3.18. And subtract that answer from 32.476.
Answer:
-13.858 !!!
Step-by-step explanation:
A painter mixed 2 gallons of blue paint with every 4 gallons of yellow paint in order to make green paint. Which
ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
Group of answer choices
Answer:
3:2
Step-by-step explanation:
Answer:
666666666
Step-by-step explanation:
is "A quotient of a number and seven" a expression or equation
what is 10 to the power of 4 to the power of 2
Answer:
100,000,000
Step-by-step explanation:
Multiply.
10 x 10 x 10 x 10 = 10,000
Then multiply 10,000 to the power of 2
10,000 x 10,000
The answer is 100,000,000
Hope this helped :)
express as a trinomial
(2x-3)(3x-3)
your answer os 8 hope it works
A person receives a paycheck of d dollars. The person spends 18% of the
paycheck on rent, 15% of the paycheck on insurance, and 22% of the paycheck
on food and puts the remainder of the paycheck into savings.
If the amount the person puts into savings can be
represented by the
expression d - 0.18d - 0.15d - 0.22d, which expression also represents the
amount the person puts into savings?
O 0.45d
O 0.550
O 1.450
O 1.550
Answer:
0.45d
Step-by-step explanation:
Given that :
Amount of paycheck = d
Amount spent on rent = 18%
Amount spent on insurance = 15%
Amount spent on food = 22%
Amount put into savings = d - 0.18d - 0.15d - 0.22d
Amount put into savings = d - ( 0.18d + 0.15d + 0.22d)
d - 0.55d
Amount put into savings = 0.45d
I would appreciate some help thankyou :)
Answer:
12 and 40
Step-by-step explanation:
You add it up! I hope this helps!! Have a great day!
Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price.
What is the total amount Ellen will pay for the book?
Answer:
Ellen will pay $16.22 for the book.
Step-by-step explanation:
Part 1:
We know that the book Ellen wants to buy has a normal price of $18. However, there is a 15% discount. So, let's calculate 15% of $18.
18 x 0.15 = $2.70
This lets us know that there is a $2.70 discount.
Now, let's subtract the discount from the regular price.
18 - 2.70 = $15.30
So, now we know the discounted price is $15.30
Part 2:
We also know that Ellen has to pay 6% sales tax. The discounted price is 100% of the price, plus 6% is 106%. Let's calculate the tax to figure out the total amount.
15.30 x 1.06 = $16.22 when rounded to the nearest cent.
Therefore, Ellen will pay the total amount of $16.22.
Answer:
$16.22
Step-by-step explanation:
marked price = $18 = 100%
discount = $? = 15%
selling price/ = $? = 85%
discounted price- this price is lower than the marked price as they have given you a DISCOUNT- an amount of money DEDUCTED.(a.k.a selling price)
selling price = 85% x $18 = $15.3= discounted price
100%
sales tax=6%
= 6 x 15.3 = 0.918 = $0.92=sales tax
100
total amount = discounted price + sales tax
= 15.3 + 0.92
= $16.22
Which statements describe the domain and range of g(x)? Select two options. The function g(x) is defined for all real numbers x. The maximum value of the range is 4. The maximum value of the domain is 3. The range of g(x) is {y| –1 < y ≤ 4}. The domain of g(x) is {x| –4 < x ≤ 3}.
Answer:
The correct two options are:
The maximum value of the range is 4.
The range of g(x) is {y| –1 < y ≤ 4}.
Step-by-step explanation:
The missing diagram is attached in the image below:
It is pertinent to understand that the domain is the set of all possible mathematical points where a given function is defined. In the diagram attached below, the domain relates to all possible values of x.
The range relates to all possible values of y.
From the graphical diagram;
The domain is (-4 ≤ x ≤ -1 and 0 ≤ x < 3); &
The range is -1 < y ≤ 4.
We could see from the graph as well that, the maximum value of the range extends from -1 to 4 which indicates that the largest possible value is 4.
Answer:
The answer is B and D
Step-by-step explanation:
At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12. For her party, Arpitha purchased the minimum number of hot dog packages and bun packages that she could while making sure to have the same number of hot dogs and buns. How many hot dogs can Arpitha serve at her party? 4 24 48 96
Answer:
24
Step-by-step explanation:
Find the factors of each until you get a match.
Hot dogs 8: 8, 16, 24
Buns 12: 12, 24
24
Answer:
it is 24
Step-by-step explanation:
i just finished my Cumulative Exam Review on edge
Is this a function? Why or why not?
Answer:
where is the digram?
Step-by-step explanation:
awnser these pls for a surprize
Answer:
(6) 300+40+8+0.17 or (3*100)+(4*10)+(8*1)+(17*0.01
(7) C.
(8) $31.10
(9) -$10.64 or he lost $10.64
(10) B.
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest