Answers
9514 1404 393
Answer:
x = 1 or 5
Step-by-step explanation:
The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...
[tex]\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)[/tex]
Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.
[tex]3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}[/tex]
_____
Comment on "cross multiply"
Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes what the result looks like. It doesn't adequately describe how you get there. The one and only rule in solving Algebra problems is "whatever is done to one side of the equation must also be done to the other side of the equation." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.
What looks like "cross multiply" is really "multiply by the product of the denominators and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.
[tex]\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}[/tex]
Related Questions
Calculate the discriminant of the quadratic equation.
Please I really need your help
Answers
Answer:
The discriminant of the quadratic equation is 0
Step-by-step explanation:
Here, we want to calculate the discriminant of the given quadratic equation
Mathematically, we have the discriminant calculated by the following formula;
D = b^2 - 4ac
where;
b represents the coefficient of x which is -2
a is the coefficient of x^2 which is 1/7
c is the last number which is 7
Substituting these values;
D = (-2)^2 -4(1/7)(7)
D = 4 - 4
D = 0
PLS HELP! (it will only let me do 31 points :() but you get brainliest.
Explain how to determine the angle measurement for this angle.
Answers
Answer:
107, there is two lines after that so 108 109 and the last line is 110 so your answer will be 107 degrees.
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\sf 107\°}[/tex]
Step-by-step explanation:
The line is in between 106° and 108° so it is 107°
find the value of the variable
Answers
I believe Z is equivalent to 1.
Explanation:
The side with the variable must be less than the side containing 3. That means 1.5+Z would have to be less that 3. That also mean Z has to be less than 1.5 so that 15+Z can be less than 3. So the answer could be anything between 0 and 1.4 and I just settled on 1 because its the only whole number between the two.
Write the linear equation in slope-intercept form given the following;
slope = 2 over 3 ' y-intercept = -1
Answers
Answer:
y=2/3x-1
Step-by-step explanation:
y=mx+b
slope 2/3
y-intercept -1
y=2/3x-1
Answer:
2=3x+-1y
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.
ax + bx - c = 0
Answers
Answer:
[tex]4 \sqrt{lyl} [/tex]
Step-by-step explanation:
Absolute value is needed, since y can be a negative number, and even roots of real numbers are not real numbers
2. Find the value of n.
117°
3nº
Answers
Answer:
n = 39
Step-by-step explanation:
The base angles are congruent, that is
3n = 117 ( divide both sides by 3 )
n = 39
4. Halla el valor de x. *
(4 puntos
x + 15x + 24 = -21 - 4x
Answers
Answer:
x= -9/4
Step-by-step explanation:
1) Isolate X
2) This will give you x+15x+4x=-21-24
(moving terms to another side will make it opposite, in this case positive 24 moving to the right will become negative 24)
3) Add the like terms
x+15x+4x = 20x
-21-24= -45
this will give you 20x=-45
4)Find the value of X by moving the 20 multiplier to the other side (this will become the opposite, division of 20)
x= -45/20
5) Simplify your answer
= -9/4
which of these following graphs represent the following equations y= 2x pls help
Answers
Answer:
A
Step-by-step explanation:
its not c or b, they are both negative, and D is y=x, so A = y=2x because 2/1 is 2, the gradient
this is the pond in the shape of a prism
Answers
Answer:
pta nhi????????????????
Choose the option that properly uses the distributive property for the following expression.
-1/3(6x+2)
A: 6x-2/3
B: 2x+2/3
C: -2x-2/3
D: -2x+2
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-\dfrac{1}{3}(6x + 2)}\\\\\\\mathsf{DISTRIBUTE \ (-\dfrac{1}{3})\ within\ the\ PARENTHESES}\\\\\\\mathsf{= -\dfrac{1}{3}(6x)+-\dfrac{1}{3}(2)}\\\\\\\mathsf{-\dfrac{1}{3}(6x)=-2x}\\\\\\\mathsf{-\dfrac{1}{3}(2) = \dfrac{-2}{3}}\\\\\\\mathsf{= -2x + - \dfrac{-2}{3}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf -2x - \dfrac{2}{3}\ (Option\ C.)}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The angle of depression from a balloon on a 75ft string to a person on the ground is 36°. How high is the balloon?
Answers
Answer:
Step-by-step explanation:
sin36=h/75
h=75sin36
h=44.08ft
6.) Find the measure of a.
115°
Answers
Answer:
65 degrees :)
Step-by-step explanation:
If you have 115 degrees, and you know triangles are always 180 degrees in total, then you have to subtract 115 from 180 to get your answer for what the measures are. 180-115=65
So it's 65 degrees.
I think this is what you want to know :)
The other option is d which is “(4,2)”
Answers
If p and q vary inversely and p is 4 when q is 30, determine q when p is equal to 10.
Answers
answer:
q = 75
step-by-step explanation:
we can set up an proportion for thiswhen p = 4, q = 30
put this as a proportion so that this is one sidelook at what i did4 / 30 = 10 / x
4x = 300
x = 75
here i used x as q, therefore whatever x is, will be qq = 75
One of Emma's rabbits is chosen at random write down the probability that this rabbits is a female with short hair
Answers
Answer:
1/total number of rabbit in terms of gender and hair size
Step-by-step explanation: Snap Add?
Sample size is required to answer
1/total number of rabbit in terms of gender and hair size
Which is bigger .24 or .71
Answers
Answer:
.71
Step-by-step explanation:
A line with a slope of 2 passes through the point (1,9). What is its equation in
slope-Intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x + O
Answers
So, the numbers that would go in the blanks would be 2 and 7, respectively.
The slope intercept form of the line that passes through the point (1, 9) and has the slope 2 is y = 2x + 7.
What is slope intercept form of the line?The slope intercept form of the line is:
y - y₁ = m (x - x₁)
Given that the point that the line passes through is: (1, 9)
The slope of the line is: m = 2
Substitute the values in the equation, we get;
y - 9 = 2 ( x - 1)
y - 9 = 2x - 2
y = 2x + 7
Therefore, we get that, the slope intercept form of the line that passes through the point (1, 9) and has the slope 2 is y = 2x + 7.
So, the numbers that would be in the blanks would be 2 and 7, respectively.
Learn more about slope intercept form here:
brainly.com/question/1884491
#SPJ5
A rectangle has a length that is 4 times the width, w. If the perimeter of the rectangle has a perimeter of 40
feet, what is the length of the rectangle?
Answers
Answer: 16cm
Step-by-step explanation:
l = 4w
2l + 2w = p
2(4w) + 2w = 40
8w + 2w = 40
10w = 40
w = 4 cm
l = 4w = 4(4) = 16cm
Please Anybody help Whoever answer I will give Brainliest no cap
Match the terms
Answers
Answer:
-3 = -3x
9x^2 = 9
4x = 4x^2
6x+5y=79
Can Some one help please
Answers
Y=79/5 -6x/5
Help me with this please and you will get the brainlist
Answers
Answer:112982
hesjeshjesn324722874 rule 34
Step-by-step explanation:
Find the measure of
Answers
Answer:
4
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
ok we know there's 180 we have 110 and 30 which = 140 so 180-140=40
Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn
Answers
The question is incomplete. The complete question is :
Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn. At what point will Nate's revenue exceed his expense?
Cost of lawn mower = $ 200
Cost of gasoline = $ 2 per lawn
Solution :
Given :
Cost of the lawn mower = $ 200
The cost of gasoline expense for one lawn = $ 2
The revenue generated for one lawn = $ 25
So let the number of lawn to be mowed = x
Therefore the total expenses = [tex]$200+2x$[/tex]
So, the total revenue = [tex]$25x$[/tex]
The point for which the revenue will exceed the total expenditure will be :
[tex]$25x \geq 200+2x$[/tex]
So at [tex]x=9, \ 225 > 218[/tex]
Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.
Answer:
For part a and b of this question
Step-by-step explanation:
x= # of lawns cut y= total cost
revenue: y=25x
cost: y= -2x-200
He earns 25 per lawn, but loses $200 for his lawnmower and $2 per lawn.
b. y=25x y=-2x-200 y=25x
y=-2x-200 25x=-2x-200 y=25(-7.40)
27x= -200 y=-185
x=-7.40
I believe this is correct.
A system of equations can be 2 equations that have the same variables. (TRUE or FALSE)
Answers
Answer:true
Step-by-step explanation: trust me
the______is the distance around the boundary of a circle
Answers
Answer:
Circumference. hope this helped!
Select all the representations that are appropriate for comparing bite strength to weight for different carnivores.
Group of answer choices
Scatter plot
Box plot
Histogram
Table
Dot plot
Answers
Answer:
Scatter Plot and Table
Step-by-step explanation:
The bite strength to weight for different carnivores can be presented using scatter plot and tables.
What is data representation?
Data representation is a very important skill in data analysis. It enables data to be communicated in a way that is quite understandable to the reader. There are many ways data can be presented depending on the nature of the data to be presented in each case.
In this particular case, the bite strength to weight for different carnivores can be presented using scatter plot and tables.
Learn more about data presentation: https://brainly.com/question/12228859
please help with with the question please and thank you
Answers
Answer:
( -4, 3)
Step-by-step explanation:
y - y1 = m( x - x1)
y - 3 = 2 (x + 4)
( -4, 3)
Answer:
(- 4, 3 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 3 = 2(x + 4) ← is in point- slope form
with slope m = 2 and (a, b ) = (- 4, 3 )
someone please help me with this :(
Answers
Answer:
Please find attached pdf
Step-by-step explanation:
On a snorkeling trip dave dove at least 7 times as deep as Amy did. If Dave dove 35 feet below the oceans surface what was the deepest amy dove brainly
Answers
Step by step: 35/7=5
Find an expression which represents the difference when (2 + 4y) is subtracted
from (-8x + 3y) in simplest terms.
Answers
Answer:
-8x - y - 2
Step-by-step explanation:
(-8x + 3y) - (2 + 4y)
Change this to addition, but change the signs in the second parentheses:
(-8x + 3y) + (-2 - 4y)
Add like terms:
-8x - y - 2
So, the difference is -8x - y - 2
= -8x + 3y - 2 - 4y
= -8x + 3y - 4y - 2
= -8x - y - 2