Answer:
Fraction- 33/4
Decimal- 8.25000
Step-by-step explanation:
Hope this helps!
Brain-List?
help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution
Answer:
C. the equation has one extraneous solutionStep-by-step explanation:
Given equation:
x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2
Multiply both sides by x² + x - 2:
x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2There is one solution but it is not true one.
Option C is correct
Answer:
[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]
x =-2 is the right answer.C. the equation has one extraneous solution.
Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how much did mattew spend on the desk
Answer:
285.12
Step-by-step explanation:
discount amount = 45/100 x 480= 45x48/10
=216.0
price after discount= 480-216=264
sales tax= 8/100 x 264=21.12
total money spent = 264+21.12=285.12
45% of 480
= 45/100 x 480
= 0.45x480
=216
=480-216
=264
8% of 264
= 8/100 x 264
= 0.08 x 264
= 21.12
= 264 + 21.12
=285.12
Therefore, he paid $285 and 12 cents
The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?
Answer:
The probability that a person likes the color blue given that they are a woman=0.25%
Step-by-step explanation:
We are given that
The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]
The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]
We have to find the probability that a person likes the color blue given that they are a woman.
We know that
Conditional probability formula
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
The probability that a person likes the color blue given that they are a woman
=[tex]\frac{0.1}{0.4}[/tex]
[tex]=\frac{1}{4}=0.25[/tex]
Hence, the probability that a person likes the color blue given that they are a woman=0.25%
Passes through (-4, -3), slope = -2.
9514 1404 393
Answer:
y +3 = -2(x +4)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For your given point and slope, this is ...
y -(-3) = -2(x -(-4))
y +3 = -2(x +4)
how do you find the area of this problem
Answer: 240
Step-by-step explanation:
You would multiply each of the sides to get the final answer of 240 (:
Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.
Answer
B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]
Step-by-step explanation:
Just took the test and D was wrong.
4(2x - 5)+ 5(3x - 7)
Answer:
=23x−55
Step-by-step explanation:
Let's simplify step-by-step.
4(2x−5)+5(3x−7)
Distribute:
=(4)(2x)+(4)(−5)+(5)(3x)+(5)(−7)
=8x+−20+15x+−35
Combine Like Terms:
=8x+−20+15x+−35
=(8x+15x)+(−20+−35)
=23x+−55
Answer:
22x-55
pemdas works too i guess
Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.
Answer:
Step-by-step explanation:
total cost= c
containers of slime=s
c=5s+10
Could someone help bc I don’t know
Answer:
A. 56 is greater than 37
B. -1 is less than 2
C. -5 is less than 0
D. -4 is greater than -5
E. -6.0 is equal to -6
Step-by-step explanation:
These are the answers because:
1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.
Hope this helps! :D
You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?
Answer:
Sales tax is $2.73. Making the total $41.73
Answer:
2.73 or [tex]\frac{273}{100}[/tex]Step-by-step explanation:
[tex]--------------------------------------------[/tex]
It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.
[tex]--------------------------------------------[/tex]
$39 + $2.73 = $41.73 = Total
[tex]--------------------------------------------[/tex]
The sales tax is $2.73
[tex]--------------------------------------------[/tex]
The total is $41.73
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
y=-2x + 4
6x + 3y = O
-12
-4
4
12
Answer:
-4
Step-by-step explanation:
Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.1%
Step-by-step explanation:
divide his electricty payment by his monthly pay
Suppose y varies directly with x. When
x is 3, y is 15. What is y when x is 10?
Answer:
Y= 30
Step-by-step explanation:
Because proportionally it makes sense as well as it multiplication.
What is the domain and range for the function graphed below
Answer:
c
Step-by-step explanation:
if you look, the x values will go on forever, however in the y value, the lowest value is -6, but the y values afterwards are infinite
IF a= 6 and b= 7, then 4a(3b+5) + 2b =?
Answer:
64
Step-by-step explanation:
4a(3b+5)+2b
Substitution
4(6)[3(7)+5]+2(7)
Order of operations (PEMDAS)
4(6)[21+5]+2(7)
4(6)+26+2(7)
24+26+14
50+14
64
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.
If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?
Answer:
(5, -11)
Step-by-step explanation:
We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.
If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)
so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?
Answer:
She would have 16
Step-by-step explanation:
10-2=8
8+8=16
What is the cos(A) as a fraction
Answer:
cos A= 8/17
Step-by-step explanation:
cos theta = adj / hyp
Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?
Answer:
C=2.50r+5.25
Step-by-step explanation:
(r represents each ride cost)
5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.
6.
It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains its
maximum value on the interval [0, 2]. Find the value of a.
Answer:
The value of a is 120.
Step-by-step explanation:
Given function;
f(x) = x⁴ - 62x² + ax + 9
find the derivative of the function;
f'(x) = 4x³ - 124x + a
The function (f) attains its maximum value on the interval [0, 2], at x = 1.
f'(1) = 0
0 = 4(1)³ - 124(1) + a
0 = 4 - 124 + a
0 = -120 + a
120 = a
Thus, the value of a is 120.
Find any points of discontinuity for y = 5x+6/x2+6x+9
Answer:
x = -3 is the point of discontinuity.
Hence, option B is correct.
Step-by-step explanation:
Given the expression
[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]
In order to determine the discontinuity, the denominator must be 0.
so let us solve the denominator to get the values of x
[tex]x^2+9x+9\:=0[/tex]
[tex]\left(x+3\right)^2=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x+3=0[/tex]
Subtract 3 from both sides
[tex]x+3-3=0-3[/tex]
[tex]x = -3[/tex]
Therefore, x = -3 is the point of discontinuity.
Hence, option B is correct.
(2a^-2)(3a^3b^2)(c^-2)
Answer:
Step-by-step explanation:
Find the inverse:
-3x+7y=14
9514 1404 393
Answer:
-3y +7x = 14
Step-by-step explanation:
The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...
-3x +7y = 14 . . . . given relation
is
-3y +7x = 14 . . . . inverse relation
#5 Test question 7th grade math
Answer:
0.85p and p - 0.15p are right
Sheila walked 7.7 km to the library.
Using the table above, about how many miles did she walk?
Answer:
Sheila walked 6 Miles.
Step-by-step explanation:
6 Miles
please awnser use image for question
Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?
Answer:
The expected value is 5.6
Step-by-step explanation:
Here, we want to calculate the expected value of x
Mathematically, that will be the probability multiplied by the number of items
In this case, that will be ;
0.28 (28%) * 20 = 5.6
I WILL GIVE BRAINLIEST
Answer:
slope = 4/1 or 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!
Given m||n, find the value of x.
+
(8x-4)º
(6x-12)
Answer:
x = 14
Step-by-step explanation:
(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)
6x - 12 + 8x - 4 = 180
Add like terms
14x - 16 = 180
14x = 180 + 16
14x = 196
x = 196/14
x = 14
I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!