Answer:
16/3
Step-by-step explanation:
(3x + 14)x = 5
3x² + 14x = 5
3x² + 14x - 5 = 0
3x² + 15x - x - 5 = 0
3x(x + 5) - 1(x + 5) = 0
(3x - 1)(x + 5) = 0
x = 1/3 & -5
Here,
r = 1/3
s = -5
r - s
1/3 - (-5)
1/3 + 5
1 + 15/3
16/3
the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]
Answer:
Solution given:
(3x+14)x=5
opening bracket
3x²+14x=5
3x²+14x-5=0
Doing middle term factorisation
3x²+(15-1)x-5=0
3x²+15x-x-5=0
3x(x+5)-1(x+5)=0
(3x-1)(x+5)=0
either
x=-5
or
3x-1=0
3x=1
x=⅓
According to question value of x is r>s
so
⅓>-5
so
r=⅓
and
s=-5
Now
r-s=⅓-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]
-2.8f+0.9f-13-8 please simplify this
Answer: -1.9f - 21
Step-by-step explanation:
Combined the like terms.
Correct me if I am incorrect.
Solve three tenths times five sevenths.
fifteen seventieths
twenty seventieths
eight seventeenths
fifteen seventeeths
Answer:
15/70 is the answer
Step-by-step explanation:
3/10 x 5/7
3x5=15 and 10x7=70
As a result, the answer to the question is 15/70
Thank you for reading! It is my hope that you will find it helpful in some way!
Using the equation F = 1.8C + 32, find the temperature in °C if it is 92°F. Round your answer to the nearest whole number if necessary.
Giving brainliest to the CORRECT answer! (Whoever answers with the explanation of how you got your answer will get brainliest but it HAS to be a correct answer)
Answer:
33 °C
Step-by-step explanation:
Put 92 where F is in the equation, and solve for C.
92 = 1.8C +32 . . . . substitute for F
60 = 1.8C . . . . . . . . subtract 32
60/1.8 = C ≈ 33.33 ≈ 33 . . . . . divide by the coefficient of C, round the result
The temperature is about 33 °C.
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
Learn more about inequalities here:
https://brainly.com/question/30231190
#SPJ7
Option 1: 1,811 square feet, 2-3 bedroom, 2 bath house that arrives in 4 modules. It includes the upgraded PEX piping and fiber cement siding that Xavier saw on the tour. The price for Option 1 would be $180 per square foot.
Option 2: 2,600 square feet, 3-4 bedroom, 3 bath house that arrives in 5 modules. It also includes the upgraded PEX piping and fiber cement siding. The price for Option 2 is $195 per square foot.
Calculate Xavier’s transportation cost to have the modules delivered on the same day
Use this formula to calculate Xavier’s cost:
[(.20 × miles)+500]× number of modules
If the price is $180 per square foot, the price of the lot will be $3,240,000
To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)
Area of the trapzium = 1/2(a+b)h
h is the height of the trapeziuma and b are the sidesArea of the trapezium = 1/2(175+185)*100
Area of the trapezium = 1/2(360)*100
Area of the trapezium = 18000 square foot.
If the price is $180 per square foot, the price of the lot will be 18000 * 180 = $3,240,000
Learn more on area of trapezium here: https://brainly.com/question/16904048
What is?..
1. 8 4/7 divided by 15?
2. How many 1/4-pound hamburgers can you make from 3 1/2 pounds of ground beef ?(In simplest form)
3. 3 divided by 1 1/5 plus 1/3? (Evaluate the expression. Write the answer in simplest form.)
4. 2/5 plus 2 1/6 divided by 5/6? (Evaluate the expression. Write the answer in simplest form.)
5. 6 1/2 - 7/8 divided by 5 11/16? (Evaluate the expression. Write the answer in simplest form.)
HURRYYYYYY PLEASEEEE.
Answers:
1. 4/7
2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers
3. 2 5/6
4. 3
5. 6 9/26
as a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?
Answer: 6x - 4
Step-by-step explanation: -2*f(x) = -2 * (-3x+2) = (-2*-3x) + (-2*2) = 6x + (-4) = 6x - 4
The surface of an office desk has a perimeter of 12 feet and an area of 8 square feet. What are the dimensions of the desk?
____feet by ___feet
HELP ME PLEASEE!
Answer:
4 feet by 2 feet ig? am not quit sure
Step-by-step explanation:
we say that length=x width=y
2(x+y)=12
xy=8 x=8/y
2(8/y + y)=12
8/y+y^2=6y
y^2-6y+8=0
(y-2)(y-4), so y=2 y=4
then we input this two numbers in xy=8
so, x=4 x=2
1, y=2 x=4
2, y=4 x=2
most likely the lengths is going to be 4 so that means the width is going to be 2.
find the circumference r = 5 cm c [?] cm c=d
Step-by-step explanation:
radius of circle =5 cm
circumference of a circle =2πr
=2π×5
=10π=10×3.14
circumference=31.4 cm
4. Janet has 30 classmates in her classroom. 18 of those
classmates are girls. If there are a total of 500 students in
her school, approximately how many students are girls?
Ejemplo de procedimiento
Answer:
300
Step-by-step explanation:
Let x represent number of girls.
18 girls / 30 students
x girls / 500 students
18/30 = x/500
x = 18/30 x 500
x= 300 girls
Therefore there are approximately 300 girls in the school.
Find the product and simplify answer -3a^3(7a^4 - 5a + 5)
[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]
Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?
Help Ill give 100 points!
Answer:
0, 1, 1/2
Step-by-step explanation:
First you would have to make them have the same denominators.
The lowest one they share is 24.
What ever you do to the bottom you have to do to the bottom.
1/6, times each by 4.
1 * 4 = 4
6 * 4 = 24
4/24.
Now you have to do the same thnig for 5/8.
But times it by 3, since 8 times 3 is 24.
5 * 3 = 15
8 * 3 = 24
15/24
Now subtract.
15 - 4 = 11/24
the difference is close to one half.
4/24 = 1/6 is close to 0.
15/24 = 5/8 is close to 1.
Answer:
i need the points
Step-by-step explanation:
Determine the range of the following graph:
Answer: -5 to 8
Step-by-step explanation: We are looking at the y value of each point on the graph, therefore any y value that falls on the line is part of the range
Solve for B.
A= 7/8(B+C)
PLS HELP ITS TIMED
Answer:
8/7A - C = B
Step-by-step explanation:
A= 7/8(B+C)
Multiply both sides by 8/7
8/7A = B + C
Subtract C
8/7A - C = B
I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!
Answer:
C
Step-by-step explanation:
This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.
First, we sort the list of numbers. Here is what we get:
64, 66, 67, 68, 69, 74, 75, 76, 78, 79
Here, the stems are the tens digits and the leaves are the ones digits.
Therefore, for the stem 6, the leaves are:
4, 6, 7, 8, 9
For the stem 7, the leaves are:
4, 5, 6, 8, 9
The answer, I believe, is C
Evaluate the function.
f(t)=-2t - 1; Find f(-9)
Answer:
17
Step-by-step explanation:
substitute t = - 9 into f(t) , that is
f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17
a) work out the size of angle x.
b) give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
180° - 105° = 75°
75° = 75°
Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which statement about the slope of the line is true?
It is −2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B.
The slope from point O to point A is two times the slope of the line from point A to point B.
Explanation:
Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.
slope = rise/run = -1/2
rise = -1 and run = 2
A negative rise value means we go downhill when moving to the right.
The total amount Y (in dollars) in your savings account after buying x video games is represented by y=70−10x . You have $40 in your account after buying video games. How many video games did you buy?
Answer:
330
Step-by-step explanation:
substitute x for 40 because that is how much you have in your account.
y= 70 - 10(40)
y = 70 - 400
y = 330
Therefore you bought 330 video games!!
Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)
Can you guys help me find the sum TnT
(7−b)+(3b+2)
Answer:
2b+9
Step-by-step explanation:
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
Answer:
A' (4,4) B' (0,0) C' (4,0)
Step-by-step explanation:
A (3,2) B (1,0) C (3,0)
Translated left 1 unit: A'' (2,2) B'' (0,0) C'' (2,0)
dilated about origin (0,0) by scale factor of 2: A' (4,4) B' (0,0) C' (4,0)
hey guys!! i need help on this one:)
[tex]\huge\underline\mathtt\colorbox{cyan}{Hope it helps...}[/tex]
HELP PLS i need it rn about reflections
Answer:
x = 1
Step-by-step explanation:
mr John wants to put a fence around his farm. if the length of one side is 25m and the width is the same length what would be the amount of fencing needed?
Answer:
100 meters
Step-by-step explanation:
4 sides
1 side = 25 m
25m = width as well
so just multiply 25 by 4 to get your answer
Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.
25m x 4 = 100m
So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.
Factor the following.
Answer:
5. x(x+4)
6. 7x(x-3)
7. 12x(x+5)
8. 4x(2x+5)
1 point 36. The length of a rectangle shape is 7.5 cm and the with is 3 cm. What is the area of the shape? OA A). 22.5 cm B). 23 cm O C). 22.5 cm D). 23 cm
Answer:
A). and C). 22.5 cm
Hope it helps:)
Which is an equation of a line parallel to y=7x−3 that has a y-intercept of 5?
XxxxAnswer:
Step-by-step explanation:xdd
How to find a and b in the equation below.
3(a+b)=28
Answer:
a equals and b equals 7
Step-by-step explanation
divide both side by 3 getting a+b=(28/3)
subtract b from both sides getting a=(28/3)-b
to solve for b its the same way so b=(28/3)-a
you can then substitute
whats the equation? for the problem
Answer: YOU DONT GIVE THE PROBLEM
Step-by-step explanation: