Answers
The solutions to the system of equations are (x₁, y₁) = (9 / 2, 11) and (x₂, y₂) = (- 1, 0).
How to resolve a system of equation by algebra methods
Herein we find a system formed by one linear equation and one nonlinear equation (quadratic equation). First, we equalize the two equations to eliminate the variable y:
2 · x² - 5 · x - 7 = 2 · x + 2
2 · x² - 7 · x - 9 = 0
2 · [x² - (7 / 2) · x - 9 / 2] = 0
2 · (x - 9 / 2) · (x + 1)
There are two solutions to x: x₁ = 9 / 2, x₂ = - 1. And the solutions for y are:
x₁ = 9 / 2y₁ = 2 · (9 / 2) + 2
y₁ = 11
x₂ = - 1y₂ = 2 · (- 1) + 2
y₂ = 0
Then, the solutions to the system of equations are (x₁, y₁) = (9 / 2, 11) and (x₂, y₂) = (- 1, 0).
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Mark decided to make Christmas presents for his classmates. He bought 10 lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 per pound.
Write a function f(x) that represents the total cost of the candy, where x is the weight of the less expensive candy.
Answers
Total cost of the candy is represented by the function f (x) is;
⇒ f (x) = $2.80x + $3.50y
Where, x is the weight of the less expensive candy (caramel candy)
and, y is the weight of chocolate candies.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Mark bought 10 lb of two types of candies to make Christmas present for his classmates.
Let x is the weight of the less expensive candy (caramel candy).
And, y is the weight of chocolate candies.
Now, The cost of caramel candies = $2.80x
And, The cost of chocolate candies = $3.50y
Hence, Total cost of the candy = $2.80x + $3.50y
Therefore, Total cost of the candy is represented by the function f (x) is;
⇒ f (x) = $2.80x + $3.50y
Where, x is the weight of the less expensive candy (caramel candy)
and, y is the weight of chocolate candies.
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I need help with 4 and 5
Answers
4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.
5. The length of segment CE to the nearest tenth is; 46.7 in.
What is the length of segment CE as required in the task content?4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.
The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.
5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.
Therefore, we can establish that;
BD/AE = CD/CE
6/14 = 20/CE
CE = (14 × 20)/6
CE = 140/3
CE = 46.667 in.
Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.
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A parcel of land measures 4 x 105 acres. If the parcel is divided into
five equally sized parts, how many acres is each part?
Answers
Answer: the answer would be 0.8 x 21 acres of land
Step-by-step explanation:hope it helps, brainliest? i could really use it
More of this.. of course
anyways only answer if you are sure
Answers
Answer:
41.6
Step-by-step explanation:
You have a duplicate question. Explanation is there. Hope it helps!
All work is shown in the screenshot that is provided! :)
The sum of three consecutive integers is 171. What are the integers?
Answers
Answer:
56, 57, 58Step-by-step explanation:
The sum of three consecutive integers is 171. What are the integers?
(171 - 3) : 3 =
168 : 3 = 56
56 + 1 = 57
57 + 1 = 58
-------------------
56 + 57 + 58 = 171
the answer is good
Is x=0 if x is greater than negative infinity but lesser than infinity?
Answers
What is the interval notation for
{x: −4 ≤ x < 9}?
Answers
Answer:
Step-by-step explanation:
(x-4,9)
7.
Peter's credit card payment is $75 per month.
He paid an annual fee of $45 per year.
He also paid $17 in fees the first year and $35 in fees the second year.
What is the total amount Peter paid during the 2 years?
A $997
B. $1,597
C. $1,852
D. $1,942
Answers
Answer:
997
Step-by-step explanation:
75×12=900
900+45+35+17=997
Use the segment addition postulate to solve for the length of BC, if AC = 16, BC = x + 11, and AB = 3x-7.
Answers
Which value of n makes the following equation true?
√n=4
Answers
Answer:
n = 16
Step-by-step explanation:
The equation is,
→ √n = 4
Solving for the value of n,
→ √n = 4
→ n = 4²
→ [ n = 16 ]
Hence, the value of n is 16.
Tracey paid $145 for an item that was originally priced at $360. What percent of the original price did Tracey pay?
Round your percentage answer to two decimal places.
Do NOT include a
%
symbol with your answer.
Answers
Answer:
Tracy paid 40.28 percent of the total price.
WILL GIVE BRAINIST.
1. The soccer team is making pizzas for a fundraiser. They put1/4 of a pound of cheese on each pizza. If they have 12 one-pound packages of cheese, how many pizzas can they make? pizzas ?
2. Dan purchased 3 ½ yards of mulch for his garden. Mulch costs $25 a yard. How much did Dan pay for his mulch? $
3. Mr. Hamilton owns 2 ¾ acres of land. He plans to buy 1 and 1/3 more acres. How many acres will he own? Write your answer as an improper fraction. acres
Answers
2. $25 per yard and there’s 3.5 yards, 25 x 3.5 = $87.50 spent on mulch
3. 2.75 as an improper fraction is 11/4 and 1.66 is 4/3, to get the same denominator you multiply one by 3 and the other by 4 and get 33/12 and 16/12, (33/12)+(16/12)=49/12 acres
6.2 HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!
Graph the image of the figure using the transformation given.
Captionless Image
LAST 3 PICS ARE THE OPTIONS
Answers
Answer: It's the third answer choice.
Step-by-step explanation:
It is the only one that LOOKS like it's reflected over the y-axis (i check the math as well)
Adu can type 250wards in 5 minutes.How long does he take to type 900wards
Answers
Answer: 18 minutes
Step-by-step explanation:
900 divided by 250 = 3.6
3.6 times 5 = 18 minutes.
Answer:
18 minutes
Step-by-step explanation:
rate = 250 w / 5 min
900 w / rate = time = 900 w / (250 w/ 5min) = 18 minutes
How many solutions are the answer of this problem? 9x-7=3(3x+2)
Answers
The number of solutions in the equation 9x - 7 = 3(3x + 2) is 0
How to determine the number of solutions in the equation?The equation is given as
9x - 7 = 3(3x + 2)
Open the bracket in the above equation
So, we have
9x - 7 = 9x + 14
Subtract 9x from both sides of the equation
So, we have
-7 = 14
The above equation is false
Hence, the number of solutions in the equation is 0
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how do you solve this problem
chan is filling a box with 1 inch cubes. he filled the bottom layer with 5x1 inch cubes long, and 4x1 inch cubes wide. The box is 6 inches tall.
Answers
Answer:
120 cubes will fill the box
Step-by-step explanation:
You want to know the number of 1-inch cubes it takes to fill a box that is 5 cubes long, 4 cubes wide, and 6 inches tall.
LayerTo cover the bottom of the box, Chan needs to make an array of cubes that has 4 rows with 5 cubes in each row. That layer will have ...
4 × 5 = 20 . . . . cubes per layer
VolumeEach layer occupies 1 inch of height, and the box is 6 inches high. The volume of the box will be filled with six of these layers. That will take this many cubes:
(6 layers) × (20 cubes/layer) = 6 × 20 cubes = 120 cubes
Chan will need 120 cubes to fill the box.
In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other. He uses twice as much Solution A as Solution B. Solution A is 12% alcohol and Solution B is 16% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 120 milliliters of pure alcohol? Number of milliliters of Solution B: X Ś
Answers
Miguel uses 300 mL Solution B and 600 mL Solution A.
What is termed as the percentages?A percentage is a relative value that symbolizes the hundredth part of any quantity.One percent (symbolized 1%) is one hundredth part; thereby, 100 percent symbolizes the entire amount as well as 200 percent clarifies twice the given amount.Let x represent the amount of Solution B used.
2x = the quantity of Solution A used.
Solution A is alcohol = 12%.
Solution B is alcohol = 16%.
Given that 12% = 0.12 and 16% = 0.16, we can calculate the following equation:
2x(0.12) + x(0.16) = 120 (Recall that pure alcohol has a concentration of 100% = 1.00.)
0.24x + 0.16x = 120
0.40x = 120
x = 300 mL
Thus, Miguel makes use of 300 mL of Solution B and 2(300) = 600 mL of Solution A.
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A girl owns 1 pairs of pants, 3 shirts, 4 ties, and 3 jackets. How many different outfits can the girl wear to school if each outfit must consist of one of each item?
Answers
Answer: She can wear 3 outfits to school because
Step-by-step explanation: She is able to wear the pants multiple times so she can have 1 pants 1 shirt 1 tie and 1 jacket for three days
which statements are true
Answers
help help help.........
Answers
Answer:
The answer is A
Domain means look at the x-axis. So you’re looking at it from left to right and finding the smallest number to the highest number on the x-axis. In this case, the smallest number the graph falls on is -2 and it stops at 4.
Remember: a filled in circle means “greater than or equal to”
Solve, 3|x−4|−6≤9.
Graph the solution on the number line.
Answers
Answer:
Step-by-step explanation:
A school event requires at least 2 parents for every 5 kids. How many parents for 60 kids?
Answers
Answer: 24
Step-by-step explanation:
60/5= 12
12(kids) times 2(parents)= 24 parents for 60 kids
help me if you can please
Answers
Answer:
f(0) = 5, f(7) = 1328, f(-5) = -460
Step-by-step explanation:
[tex]f(x) = 4x^3 - 7x + 5[/tex]
We should substitute the values in the brackets into the equation to find the function's value at that x point.
[tex]f(0) = 4(0)^3 - 7(0) + 5\\\to f(0) = 5[/tex]
[tex]f(7) = 4(7)^3 - 7 \times 7 + 5\\\to f(7) = 4 \times 343 - 49 + 5\\\to f(7) = 1328[/tex]
[tex]f(-5) = 4(-5)^3 - 7(-5) + 5\\\to f(-5) = 4 \times -125 + 35 + 5\\\to f(-5) = -460[/tex]
PLEASE HELPPPP
In a particular year, a total of 60,831 students studied in two of the most popular host countries when traveling abroad. If 5981 more students studied in the most popular host country than in the
second most popular host country, find how many students studied abroad in each country.
There were …..
students who studied abroad in the most popular host country.
Answers
Answer:
66812
Step-by-step explanation:
60831+5981=66812
Hey, could somebody help me out with this?
-----------------------------------------------------------------
Upload the worksheet with your constructions below.
Answers
PLEASE HELP ANSWERING THIS QUESTION QUICKLY! THIS QUESTION IS SO CONFUSED!
Based on the graph above, estimate to one decimal place the average rate of change from x=1 to x=3 (Blank).
Explain!
Thanks!
Answers
The average rate of change from x=1 to x=3 is -1
How to find the average rate of change from x=1 to x=3?On the given graph, we have the following function values
f(1) = 6
f(3) = 4
The average rate of change from x=1 to x=3 is then calculated as
Rate = [f(3) - f(1)]/[3 - 1]
This gives
Rate = [4 - 6]/[3 - 1]
Evaluate
Rate = -1
Hence, the average rate of change from x=1 to x=3 is -1
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A group of 15 students were assigned a novel to read during class. The data below represents the number of pages each student read.8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24Which of the following box plots correctly summarizes the data?
Answers
The box plots that correctly summarize the data is the option B from the image
This is further explained below.
What are box plots?Generally, a straightforward method of depicting statistical information on a plot, in which a rectangle is used to represent the second and third quartiles of the data, and in which the median value is typically shown by a vertical line drawn within the rectangle.
On each side of the rectangle, there are two horizontal lines that represent the lower quartile and the higher quartile.
A boxplot is a graphical representation of the distribution of data that is based on a summary of five numbers and follows a defined format.
In conclusion, The box plot in the illustration with choice B accurately summarizes the data.
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CQ
Image attached
A group of 15 students were assigned a novel to read during class. The data below represents the number of pages each student read.
8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24
Which of the following box plots correctly summarizes the data?
A
B.
C.
D
. If C lies between A and B on AB, then AC + CB = AB. What can you logically conclude about AB?
Answers
Answer: AB is twice the size of AC and twice the size of CB
Step-by-step explanation: "Lies between" means that it's in the middle. C is in the middle of A and B. A to C would be the same distance of C to B because C seperates the segments into 2 equal halves. AB is the whole segment including C, you could do AC + AC if you substituted it for the lengths and you would still get AB
The total weight of 15 boxes is 45 pounds. How muchwould 40 boxes weigh
Answers
15/45 = 40 x 3 = 120 pounds
Answer:
40 boxes would weigh 120 pounds. nice
15/45 = 40 x 3 = 120 pounds
Step-by-step explanation:
:)