Answers
Answer:
[tex]\dfrac{-5x^2+34x-32}{x^2-10x+24}[/tex]
Step-by-step explanation:
Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."
[tex]\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}[/tex]
Related Questions
in a football tournament at group stage there are five football teams in a group, Brazil, England, Scotland, Argentina and France. Each team plays every other team in their group. There are ten matches altogether. Two teams are picked at random to play the first match. Work out the probability that the first game will be played by a European team and a South American team.
Answers
Answer:
6/25
Step-by-step explanation:
Because england, scotland and france are european team and they make up 3/5 of all the teams, you multiply 3/5 by 2/5 because the south american teams are brazil and argentina which make up 2/5 of the total teams. So the probability that a european team will play a south american team is 3/5*2/5 which is 6/25
what is the quotient 7^-6/7^2
Answers
Answer:
7 to the power of negative 8
Answer:
7^-8 = 1/5764801
Step-by-step explanation:
The appropriate rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
So, ...
7^-6/7^2 = 7^(-6-2) = 7^-8 = 1/5764801
The solution to 2x2 – 11 = 87 is .
Answers
Step-by-step explanation:
Step 1: Subtract 87 from both sides
[tex]2x^2 - 11 - 87 = 87 - 87[/tex]
[tex]2x^2 - 11 - 87 = 0[/tex]
Step 2: Factor
[tex]2x^2 - 11 - 87 = 0[/tex]
[tex]2(x + 7)(x - 7) = 0[/tex]
[tex]x + 7 = 0[/tex] and [tex]x - 7 = 0[/tex]
[tex]x = -7[/tex] and [tex]x = 7[/tex]
Answer: [tex]x = -7, 7[/tex]
Answer:
x = 7, -7
Step-by-step explanation:
2x² - 11 = 87
2x² = 98
x² = 49
x = +/-7
Of the 50 people who started a math class meeting at 10:00 each morning, only 37 finished the class. What fraction of people finished the class?
Answers
Answer:
37/50
Step-by-step explanation:
So 37 out of 50 who finished the class, so 37/50 .
And you can't simplify it.
In a class full of men and women,
3
5
of the class are women. What is the ratio of men to women in its simplest form?
Answers
Answer:
2:3
Step-by-step explanation:
3/5 women, that makes men 2/5, and total 5/5
men to women
2:3
what is 584+106
plz help some math i’m so tired
Answers
+106
—————
690
—————
Answer:
690
Step-by-step explanation:
587+106=690
The multiplicative identity element for integers is _______________________.
Answers
Answer:
The multiplicative identity of the ring of integers and of its extension rings such as the ring of Gaussian integers , the field of rational numbers , the field of real numbers , and the field of complex numbers .
The answer is 1
Hope this helps
Answer: 1
Step-by-step explanation: Any no. multiplied by 1 is no. itself
i.e. x × 1= x
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these
flowers rapidly increases as the trees blossom.
The relationship between the elapsed time, t, in days, since the beginning of spring, and the total number of
locusts, L(t), is modeled by the following function:
t
L(t) = 750 - (1.85)^t
Complete the following sentence about the daily rate of change of the locust population.
Every day, the locust population
grows/shrinks
by a factor of______?
Answers
Answer:5
Step-by-step explanation:
Answer:
if it is the percentage question, the answer is 65% and added
Step-by-step explanation:
khan
What is the first step to verify that the following identity is true?
Cot^2 x sec x = cos x/ sin^2 x
Answers
Step-by-step explanation:
this right ans according to your question
Find the median, and mode(s) of the data. 15, 4, 3, 12, 20, 12, 13
Answers
Answer:
median: 12 mode: 12
Step-by-step explanation:
to find the median arrange the number in ascending order and then find the one that's in the middle. to find the mode just figure out which number shows up the most
Answer:
they both are 12
100%
Step-by-step explanation:
Which is a correct expansion of (2x+3)(2x^{2} -5)?
Answers
Answer:
4x^{3} + 6x^{2} -10x -15
Step-by-step explanation:
(2x+3)(2x^{2} -5)
2x × 2x^{2} + 2x× (-5) + 3× 2x^{2} + 3 ×(-5)
=4x^{3} -10x + 6x^{2} -15
= 4x^{3} + 6x^{2} -10x -15
A spinner has 5 equal-sized sections with different colors. You spin the spinner 50 times. The results are shown in the table. Find the theoretical and experimental probabilities of spinning blue.
Red Green Blue Yellow Orange
8 11 15 9 7
The theoretical probability is
.
The experimental probability is
.
Question 2
What do you think will happen to the experimental probability when you spin the spinner 400 times?
The experimental probability will stay the same.
The experimental probability will get farther from the theoretical probability.
The experimental probability will get closer to the theoretical probability.
Answers
Answer:
a) If the spinner is fair, then each color must have the same probability, this means that the probability for each color is the number of times that the color (in this case blue) is in the spinner divided the total amount of colors in the spinner, then the theoretical probability for each color is:
Pt = 1/5 = 0.20
The experimental probability can be found by dividing the number of times that the spinner landed on a given color (in this case for blue we have 15 times) divided the total number of spins ( 50)
Pe = 15/50 = 0.30
B) As we increment the number of spins, we should see that the experimental probability gets closer to the theoretical probability.
Select one of these options for each of the 4 questions
A. Exactly one pair of opposite sides of a trapezoid is parallel.
B. Slope formula
C. Two distinct lines are parallel if and only if they have equal slopes.
D. Midpoint formula
E. Given
F. Distance formula
G.Both sets of opposite sides of a trapezoid are parallel.
Answers
Answer:
1. Given
2. Slope Formula
3. Two distinct lines are parallel if and only if they have equal slopes.
4. Both sets of opposite sides of a trapezoid are parallel.
Step-by-step explanation:
Hope this helps.
Answer:
1. Given
2. Slope Formula
3. C
4. A. Exactly one pair of a trapezoid is parallel
Find the mode of the data. please Helppppp!!!
Answers
Answer:
pizza
Step-by-step explanation:
Mode is the one that appears most often
Pizza appears 4 times
Cheeseburger, spaghetti appears only 3 times
apples, hot dogs 2 times
Answer: the mode is pizza
Step-by-step explanation:
Pizza: 4
Spaghetti: 3
Cheeseburger: 3
Apples: 2
Hotdog: 2
Pizza is the most so, it is the mode.
Aright triangle with an area of X2-4 square units has a leg that measures
2x + 4 units.
Determine the length of the other leg of the triangle.
Answers
Answer:
x - 2
Step-by-step explanation:
First, we know that the area of a triangle can be found using the formula: a = 1/2(bh).
We also know that the area of this triangle can be represented by (x^2-4).
Lastly, we know that one of the legs (let's call it the base) can be represented by (2x+4).
Let's plug in those values to the original formula: x^2 - 4 = 1/2(2x + 4)h
Now, let's solve for h!
We can multiply both sides by 2, then divide each side by (2x + 4) to isolate/solve for h.
If you need help on dividing polynomials, feel free to reach out!! I'd be happy to explain.
h = (x - 2)
Megan has practiced the piano for 7.5 hours over the course of this week. She practices on Tuesdays, Thursdays, and Saturdays. How many minutes is Megan's average practice.
Answers
Answer:
150
Step-by-step explanation:
you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150
Given the system y= 2x + 2 and y= 2*, which statement below is true?
There are no solutions
The system has exactly one solution.
(3, 8) is a solution of the system.
(8,3) is a solution of the system.
Answers
Answer:
(3, 8) is a solution of the system
Step-by-step explanation:
We assume your second equation is intended to be ...
y = 2^x
This system of equations can be solved graphically or by trial and error. There are no algebraic methods for solving it.
A graph shows that (3, 8) is one of the two solutions.
Solve for x in this equation 1/5x = 7/35. Simplify.
Answers
Answer:
x=1
Step-by-step explanation:
1/5x = 7/35.
Multiply each side by 5
1/5 x * 5 = 7/35 *5
x = 7/7
x=1
x2 -20x + y^2 - 10y+25=0
identify center of the circle and radius
Answers
Answer:
Center of the circle = (10, 5)
Radius = 10
Step-by-step explanation:
Look at the picture
For each right triangle fine the length of the side that is not given. Round your answer to the nearest tenth.(one Decimal place)
Answers
Answer:
√157
Step-by-step explanation:
Use Pythagorean theorm.
[tex]11^2 + 6^2 = ?^2[/tex]
121 + 36 = ?^2
157 = ?^2
√157 = ?
Can't simplify.
Answer:
12.5 m
Step-by-step explanation:
You are given the lengths of the legs of a right triangle.
We can use the Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
(6 m)^2 + (11 m)^2 = c^2
36 m^2 + 121 m^2 = c^2
c^2 = 157 m^2
c = sqrt(157 m^2)
c = sqrt(157) m
Answer: 12.5 m
A 4 1/2 ounce hamburger patty has 25 1/2 grams of protein. Determine the grams of protein per ounce each type of food.
Select from the drop down menus to correctly complete each statement
Answers
Answer:
Option c. 5.7 grams
Option b. 5.3 grams
Step-by-step explanation:
(a) A [tex]4\frac{1}{2}[/tex] ounce hamburger patty has [tex]25\frac{1}{2}[/tex] grams of protein.
first we convert mixed fraction to improper fraction.
Amount of protein a [tex]\frac{9}{2}[/tex] ounce hamburger patty has = [tex]\frac{51}{2}[/tex] grams
∴ Amount of protein a 1 ounce hamburger patty has = [tex]\frac{\frac{51}{2} }{\frac{9}{2} }[/tex]
= [tex]\frac{51}{2} \times \frac{2}{9}[/tex]
= [tex]\frac{51}{9}[/tex]
= [tex]\frac{17}{3}[/tex] = [tex]5\frac{2}{3}[/tex] = 5.7 grams
(b) A 6 ounces of fish has 32 grams of protein.
∴ The amount of protein a 1 ounce of fish has = [tex]\frac{32}{6}[/tex]
= 5.3 grams
A hamburger patty has approximately 5.7 grams of protein per ounce.
A fish has approximately 5.3 grams of protein per ounce.
The length of a rectangle is 7 cm more than 4 times the width. If the perimeter of the rectangle is 44 cm, what are its dimensions?
Answers
Answer:
3 by 19
Step-by-step explanation:
A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. How long is the ladder?
Answers
Answer:
0.136m
Step-by-step explanation:
This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 20= 3/h. You divide cos(20) by 3 and you get the answer of 0.13602m.
What is the area of ABCDE?____sq cm
got very confused on this part
Answers
Answer:
A= 30 sq. cm
Step-by-step explanation:
We want to find the area of both triangles seprately than add them together. For the area of a traingle, we use the equation 1/2 base times height. For triangle ABE we do this:
[tex]A = \frac{1}{2} (12)(4)[/tex]
[tex]A = (6) (4)[/tex]
[tex]A = 24[/tex]
For triangle BDC, we do this:
[tex]A = \frac{1}{2} (6) (2)[/tex]
[tex]A = (3) (2)[/tex]
[tex]A=6[/tex]
Now we have to add both areas ot get A=30 sq cm
What’s the correct answer for this?
Answers
Answer:
(x + 5)² + (y - 7)² = 13
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 7) and r = [tex]\sqrt{13}[/tex] , thus
(x - (- 5))² + (y - 7)² = ([tex]\sqrt{13}[/tex] )² , that is
(x + 5)² + (y - 7)² = 13 ← equation of circle
please helpppp i don’t know what do to :/ if you answer thank you so much
Answers
Answer:
(4,6)-(-2,-1)
Step-by-step explanation:
Is the origin located at the intersection of the x - and y -axis
Answers
yes it is because thats exactly where its located
John wants to evaluate the expression (5 + 3)^2.
As a first step, he writes 5^2+ 3^2. Will he get the correct value for the
expression? If not, what should he do to evaluate the expression?
Please help write the correct answer.
Answers
Answer:
5+3 x 2=64
Step-by-step explanation:
(5+3) x 2 5^2+3^2=34 not 64
8 x 2 = 64
Answer:
64
Step-by-step explanation:
Hope this helped
What is the angle bec and the angle Abe?
Answer quick please!
Answers
70°
Answer:
160°
Step-by-step explanation:
[tex](3x - 5) \degree + (4x + 10) \degree = 180 \degree \\ (straight \: line \: \angle s) \\ (7x + 5) \degree = 180 \degree \\7x + 5 = 180 \\ 7x = 180 - 5 \\ 7x = 175 \\ x = \frac{175}{7} \\ \huge \orange{ \boxed{x = 25}} \\ \\ m\angle BEC = (3x - 5) \degree \\ m\angle BEC = (3 \times 25 - 5) \degree \\ m\angle BEC = (75 - 5) \degree \\ \huge \red{ \boxed{m\angle BEC = 70 \degree}} \\ \\ by \: remote \: interior \: angle \: theorem : \\ m\angle ABE = m\angle BEC + m\angle BCE \\ m\angle ABE = 70 \degree + 90 \degree \\ \huge \purple{ \boxed{m\angle ABE = 160 \degree }}[/tex]
Which equation is the inverse of (x-4)2- ß-by-122
O y=6x2-3x+42
6x-
34
O y=4+ /6x-
34
O y=-4+ /6x-
0 -(x-4)2 -> --6y+12
Answers
Answer:
see below
Step-by-step explanation:
Interchange x and y, then solve for y.
[tex](x-4)^2-\dfrac{2}{3}=6y-12\qquad\text{given}\\\\(y-4)^2=6x-\dfrac{36-2}{3}\qquad\text{swap x,y; add 2/3}\\\\y-4=\pm\sqrt{6x-\dfrac{34}{3}}\\\\\boxed{y=4\pm\sqrt{6x-\dfrac{34}{3}}}[/tex]