Answers
Answer:
C. The equation has two valid solutions
Step-by-step explanation:
A rational equation like this is often solved by "cross-multiplying" to eliminate the fractions. When we do that, we get ...
4(2x+10) = x(3x+1) . . . . . . . multiply both sides by (3x+1)(2x+10)
3x² -7x -40 = 0 . . . . . . . . . . rearrange to standard form
3x² -15x +8x -40 = 0 . . . . . . separate -7 into factors of 3(-40)
3x(x -5) +8(x -5) = 0 . . . . . factor pairs of terms
(3x +8)(x -5) = 0 . . . . . . . finish factoring
The zeros of these factors are not zeros of the original denominators, so neither of the solutions these give is extraneous.
3x +8 = 0 ⇒ x = -8/3
x -5 = 0 ⇒ x = 5
Related Questions
what is the polynomial of (-3,0)(2,0)(2,0)(3,0)
Answers
Answer:(-2,0) and (3,0)
Step-by-step explanation:im not sure if its correct but it should be
how do i solve this?
Answers
There’s a few ways to approach this. You just need to figure out which equations are on that graph. I’d start by identifying the equations for the lines. Remember y=mx+b where mx is the slope and b is the y-intercept. Let’s start with the y-intercepts. They’re labeled for you. One is (0,4) and the other is (0,-4). So we have y=mx+4 and y=mx-4. Next, we need to find the slope. You can count the boxes to do that. Find a neat spot where the line crosses a corner (the y-intercept is often a good place to start) and make a sort of triangle using the line as one side. Count the boxes it takes to get up and over to the next intersection at a corner. The line that crosses at (0,4) goes up (rise) one and over (run) one equally. Rise over run, 1/1x. That can be simplified to just x. So one line is y=x+4. The other line goes down two for every one box it goes over. Remember that when it goes down, it’s negative. So that’s -2/1x, or just -2x. The equation is y=-2x-4. Both of those answers are only present in option J.
Find in the triangle. Round to the nearest degree.
a. 30°
b. 27°
c.21
d.34
The angles are 87ft
And 72ft.
Answers
Answer:
option d 34⁰
Step-by-step explanation:
Your Required Answer is 34⁰
I hope It helped you
Need help with question 15 I did the work for it but the answer was wrong somehow it didn't work out question is on the photo
Answers
Answer:
336, (B)
Step-by-step explanation:
To find the surface area, find the area of each square and triangle
10x12 + 2(6x8)/2 + 12x6 + 8x12
This would then be,
120 + 48 + 72 + 96
Surface area = 336, (B)
You made a mistake on step 2.
When finding the area of triangle, you have to divide by 2.
Hope this helps!
Need some help please!
Answers
Find the surface area of the cube with 2/3 units squared
Answers
Answer:
8/3 or 2.66.. units
Step-by-step explanation:
TSA of cube = 6a²
side = 2/3
= 6 x (2/3)²
= 6 x 4/9
= 2 x 4/3
=8/3
Ans = 8/3 units or 2.66.. units
HAVE A NICE DAY
STAY SAFE
PLS MARK BRAINLIST IF IT IS CORRECT
In the regular decagon shown, what is the measure of angle 1?
Answers
Answer:
try 36 but im not quite sure
Step-by-step explanation:
im sry if im wrong have a good rest of your day :)
Find the volume of the shape
Answers
Answer:
i think. 8 times 12 = 96 times 20 = 1,920
Employees who have retired from a company are placed in different benefit categories. The bar graph shows the percentages of the retired employees in different benefit categories. Which statement about the employees is supported by the data in the bar graph? The number of employees in Category II or Category III is greater than the number of employees in Category I. More than half the employees are in Category I. The number of employees in Category II is twice the number of employees in Category III. The number of employees in Category I is three times the number of employees in Category II.
please help!
Answers
Using the given bar graph, it is found that the statement that is supported by the data in the bar graph is given by:
The number of employees in Category I is three times the number of employees in Category II.
What does the bar graph state?Research the problem on the internet, it is found that:
45% of the employees are of Category I.15% are of Category II.30% are of Category III.10% are of Category IV.Hence the correct option is given by:
The number of employees in Category I is three times the number of employees in Category II, as 45% = 3 x 15%.
More can be learned about bar graphs at https://brainly.com/question/24481455
#SPJ1
If f(x) = 1 / (3x – 5), what is the inverse of f?
Answers
Answer:f^-1(x) = 1/3x + 5/3
Step-by-step explanation:
A circular flower bed is 19 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for .
Answers
Answer:
289 m²
Step-by-step explanation:
First find the area of the flower bed
A=πr²= (3.14)(9.5)² = 283.385
Then get the area of everything including the sidewalk
A=πr²= (3.14)(13.5)² = 572.265
Then subtract and you'll get the area of just the sidewalk
572.265 - 283.385 = 288.88m²
The answer to this question is 289
PQR is a right angled triangle. The area of the triangle is 6cm² and |QR|= 3cm.
find |PR|
Answers
Answer:
PQ = 4cm
QR = 3cm
PR = 5cm
Area = 6cm²
Step-by-step explanation:
Area of triangle = 0.5 × Base × Height
6 = 0.5 × 3 × PQ
Let PQ be = x6 = 0.5 × 3 × x
[tex] \frac{6}{0.5 \times 3} = x[/tex]
x = 4cm
PQ = 4cm
Since, it is a right angled triangle applying Pythagoras Theorem,
PR =
[tex] \sqrt{ {3}^{2} + {4}^{2} } \\ = \sqrt{9 + 6} \\ = 5cm[/tex]
PR = 5cm
1 2 3 4 5 6 7 8 9 10
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2?
StartFraction x Superscript one-half baseline Over y z squared EndFraction
StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
StartFraction y Superscript one-half Baseline Over x z squared EndFraction
StartFraction x z squared Over y Superscript one-half EndFraction
Answers
Using the conversion of exponent to power, the equivalent expression is given as follows:
[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]
How to transform an exponent to a power?It happens according to the following rule, with the denominator as the root and the numerator as the exponent:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
In this problem, we are given the following expression:
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Negative exponents go to the denominator, hence the equivalent expression is given by:
[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]
More can be learned about the conversion of exponent to power at brainly.com/question/2020414
#SPJ1
How would I solve I need to know Asap and what is the answer
Answers
Answer:
True; True; False; True
Step-by-step explanation:
True or False:
Gross income is the amount of money you make after deductions for taxes and other expenses have been taken out
Thank you so much!!!!!!
Answers
Answer:
False
Step-by-step explanation:
False.
Gross income is the total amount a person earns before any deductions are taken out.
Gross income is the amount of money you make after deductions for taxes and other expenses have been taken out. This statement is false.
What is gross income?Gross income is the income that is earned before any deductions are removed. For example, if a person sells a product for $20. The gross income is $20. Net income is the income after deductions have been taken out.
To learn more about gross income, please check: https://brainly.com/question/26479727
#SPJ2
Rate Time = Distance
How many hours will it take to complete a 63-km bike ride if you go 20 km per
а
hour the whole time?
Answer here
SUBMIT
Answers
Mrs. Smith bought 3 pies for her family dinner. There were 10 people eating dinner. How much pie did each person get?
Answers
Answer:
Each person received 3/10 of pie
Step-by-step explanation:
3 dived by 10 equals 0.3 which is equivalent to 3/10
This is the graph of y=x² + 4x + 7.
-5
What is the range of this function?
A. x²-2
B. y≤ 3
OC. y23
D. All real numbers
10- ly
(-2,3)
x45
Answers
Answer:
C y≥3
Step-by-step explanation:
Range is the y values that a function can be ...this one can be as low as 3 and up to infinity
The net of a rectangular prism is shown below. The surface area of each face is labeled.
(Picture Below)
Answers
Answer:
option A is correct.
Explanation:
Total Area of the prism: 8 + 48 + 8 + 24 + 24 + 48 = 160 ft²
Area of rectangular prism: 2(LW+HW+HL)
Option A
2(2*4+4*12+12*2)
2(8+48+24)
2(80)
160 ft²
areas of all 6 surfaces of the rectangular prism are given just add them up for finding Total surface area
TSA:-
24+8+8+48+48+242(24+48+8)2(80)160ft²Which of the following values are solutions to the inequality -1 + 4x < -1?
I.4
II. 1
III. 0
Answers
Answer:
4
Step-by-step explanation:
What is the product of x4y and 4x2
Answers
Answer:
4 x 2 (2WD) A 4x2 or 2WD is a vehicle that has a two-wheel drive (2WD) with four wheels.
Step-by-step explanation:
8. 1 hour 15 minutes
minutes
Answers
Answer:
1 hour and 15 minutes=75 mins.
Step-by-step explanation:
The lens and mirror in Figure P23.51 are separated by 1.00 m and have focal lengths of +79.2 cm and -50.6 cm, respectively. If an object is placed 1.00 m to the left of the lens, locate the final image.
Answers
The location final image from the mirror, which is made when an object is placed 1.00 m to the left of the lens, is 0.58 right to the mirror.
What is the focal length of the lens?The focal length of the lens is the length of the distance between the middle of the lens to the focal point.
It can be find out using the following formula as,
[tex]-\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]
Here, (v)is the distance of the image, (u) is the distance of the object, and (f) is the focal length of the lens.
The lens and mirror in the Figure are separated by 1.00 m and have focal lengths of +79.2 cm and -50.6 cm, respectively. Change the units of focal length in meters,
[tex]f_l=79.2\text{ cm=0.792 m}\\f_m=-50.6\text{ cm=0.506 m}[/tex]
An object is placed 1.00 m to the left of the lens. Put the value in the lens formula as,
[tex]-\dfrac{1}{v_l}+\dfrac{1}{1}=\dfrac{1}{0.792}\\-\dfrac{1}{v_l}=\dfrac{1}{0.792}-1\\v_1=3.81[/tex]
The distance of the image made by lens is 3.81 meters. The distance of this image from the mirror is,
[tex]u_2=3.81-1\\u_2=2.81\rm \; m[/tex]
This distance is work as object distance for the mirror. The focal length of mirror is -0.506 m. Thus, the location of the final image is,
[tex]-\dfrac{1}{v_2}+\dfrac{1}{3.81}=\dfrac{1}{-0.506}\\\dfrac{1}{v_2}=-\dfrac{1}{3.81}-(-\dfrac{1}{0.506})\\v_2=-0.58[/tex]
Thus, the location final image from the mirror which is made when an object is placed 1.00 m to the left of the lens, is 0.58 right to the mirror.
Learn more about the focal length here;
https://brainly.com/question/25779311
#SPJ1
Liz leaning a total of 10 appetizers recipes over the course of 2 week of culinary school .
Answers
The number of appetizers that Liz would have learnt after 4 weeks given the unit rate is 20.
How many appetizers would Liz have learnt in 4 weeks?The first step is to determine the unit rate of appetizers that Liz learns.
Unit rate = total number of appetizers / total number of weeks
10 /2 = 5 appetizers
Number of appetizers Liz would learn in 4 weeks = 4 x 5 = 20
To learn more about division, please check: https://brainly.com/question/194007
#SPJ1
In 1999 the average cost of a house
was £91,199. In 2022 the average cost
of a house is £278,123. Find the
percentage change and state if this is
an increase or decrease.
Answers
The percentage change is 204.96% and it was increasing
Our percent calculator uses this formula:
[tex]((y2-y1)/y1)*100[/tex] = your percentage change
(where [tex]y1=[/tex] start value and [tex]y2=[/tex] end value)
[tex]((278.123-91.199)/91.199)*100=204.96%[/tex]
Therefore, The percentage change is 204.96% and it was increasing
Learn more about Finding the Percentage here:
https://brainly.com/question/26442217
Two men and a machine were picking oranges on a farm. One man picked x amount
oranges. The second man picked 12 less than the first. The machine picked three
times the second man. How many oranges did each pick if the total amount of
oranges picked is 332?
Answers
The equation to represent the situation is like so:
[tex]x+(x-12)+3(x-12)=332[/tex]
Simplify.
[tex]x+x-12+3x-36=332[/tex]
[tex]5x-48=332[/tex]
[tex]5x-380=0[/tex]
Solve for the variable x.
[tex]5x=380[/tex]
[tex]x=76[/tex]
[tex]first\ man =x\\second\ man =x-12\\machine=3(x-12)[/tex]
[tex]first\ man=76\\second\ man=64\\machine=192[/tex]
Verify.
[tex]x+(x-12)+3(x-12)=332[/tex]
[tex]76+(76-12)+3(76-12)=332[/tex]
[tex]76+64+192=332[/tex]
[tex]332=332[/tex]
[tex]LS=RS[/tex]
Give the Least Common Denominator for
7ths, 5ths, and halves.
Answers
Answer:
7x5x2 = 70
There are no other smaller factors that include all of the given numbers
The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
Answers
Answer:
Step-by-step explanation:
The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
The maximum grain yield for corn is achieved by planting at a density of 37,000 plants per
acre. A farmer wants to maximize the yield for the field represented on the coordinate grid.
Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest
thousand, does the farmer need? (Hint: 1 acrt = 43,560 ft?)
у
500 fx
E
F
X
-500
0
500
G
-500
H
The farmer needs approximately
corn plants.
Answers
According to the question, there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants
Determining the area of a trapezium?The trapezium is a 2 -dimensional plane shape with the area calculated as shown below:
The formula for calculating the area of a trapezoid is expressed as:
Area = 0.5(a + b)h
Given the following parameters
a = 500 ftb = 900ft
height h = 800ft
Substitute the given parameters
Area = 1/2 (500 + 900) * 800
Area = 1/2 (1400) * 800
Area = 560000 square feet
Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:
Total acre = 560000/43560
Total acre = 12.856 acres
Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants
Learn more on area of trapezoid here: https://brainly.com/question/1463152
pls help
The perimeter of a rectangle is 24.
Write the function that describes its area in terms of one of the sides
The perimeter of a rectangle is 24. What is the maximum possible area of such rectangle?
The perimeter of a rectangle is 24. For what length of sides does the maximum area occur for this rectangle?
Answers
The function that describes the area of the rectangle in terms of one of the sides is A = 12L - L².
How to compute the area?The perimeter of the rectangle is given as 24. Therefore, the area in terms of one of its side will be:
A = L(24 - 2L)/2
A = L(12 - L)
A = 12L - L²
The length side for the maximum area will be 6 and 6. The maximum area of the rectangle will be:
= 6 × 6
= 36
Learn more about rectangles on:
https://brainly.com/question/25292087