Answers
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.
[tex]\dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}[/tex]
_____
If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.
Related Questions
The lengths of the sides of a triangle are 8, 11, and 13. Classify the triangle as acute, right, or obtuse.
Answers
Help 15 points. For math
Answers
Answer:
y=x+8
Step-by-step explanation:
Fathers age is twice his daughter age but 16 years ago fathers age was 4 times his daughters age . Calculate their ages
Answers
Answer:
Father's age = 48
Daughter's age = 24
Step-by-step explanation:
Let x be father's age and y be daughter's age.
1st equation:
x = 2y
2nd equation:
(x - 16) = 4(y - 16)
Replacing value of x from 1st equation,
(2y - 16) = 4(y - 16)
2y - 16 = 4y - 64
4y - 2y = 64 - 16
2y = 48
y = 48/2
y = 24
And,
x = 2y
x = 2 x 24
x = 48
8x - x = 64 - 16
7x = 48
help quickly!!!!! explanation needed. lots of points.
Answers
Answer:
29.3
Step-by-step explanation:
to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.
first we have to find the sum of the minutes she practiced:
20+30+40+38+25+22+39+22+26+31
this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:
293/10 =29.3
A surveyor is measuring the distance across a lake as shown below. In triangle ABC , M and are midpoints . What is the width across the lake (BC)? 96 yds
32 yds
16 yds
6 yds
64 yds
Answers
Answer:
64 yds
Step-by-step explanation:
by proportion, MN is half way to BC, so BC = 2(MN) = 64 yds
PLEASE HELPP!!’ i will mark you brainliest if you help
Answers
Answer:
Step-by-step explanation:
Domain: - ∞ <x < ∞
Range: The range starts out at - ∞ and goes to 8
- ∞ < y ≤ 8
Vertex: (0,8) The vertex is a point. It's the highest point.
Axis of symmetry: x = 0 The axis of symmetry is the y axis.
zeros: (4,0) and (-4,0)
I have no idea what the last sentence is asking for.
Pls help ill give you 10 or 22 points. I’m rlly stuck I need help.
Answers
Hope it’s right
Best luck with your studying
Answer:
(-1,3)
Step-by-step explanation:
3x + 6y = 15
6x + 6y = 12 Subtract
-3x = 3 Divide by 3
-x = 1 multiply by - 1
x = - 1
3x + 6y = 15
3(-1) + 6y = 15
-3 + 6y = 15 Add 3 to both sides
-3+3 + 6y = 15 + 3
6y = 18 Divide by 6
y = 18/6
y = 3
(-1,3)
fill in the five blanks on the function table
Answers
Answer:
Check pdf
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 23.
Use the variable x for the unknown number.
Answers
Answer:
[tex] 2(x - 5)\leqslant \\23[/tex]
Step-by-step explanation:
or
[tex]2x - 10 \leqslant 23[/tex]
Work out the Area of the shape
Answers
Answer:
145.8cm squared
Step by step:
16.2 divided by 3 = 5.4cm
In the second line where 2 bricks are horizontal and 2 are vertical:
2x + 3y = 16.2
3y = 16.2 - 2 x 5.4
y = 1/3 x 5.4
y = 1.8cm
Hence, height and length of each triangle is 1.8cm and 5.4cm
Complete length = 16.2 cm
Complete height = 2y + x = 2 x 1.8 + 3.4
= 9 cm
Area overall = 16.2 x 9 = 145.8cm squared
A rectangle has height and width changing in such a way that the area remains constant 2 square feet. At the instant the height is 2 feet, the height is changing at a rate of 6 feet/minute. Find the rate of change of the width (in feet/min) at that instant.
Answers
Using implicit differentiation, it is found that the rate of change is of the width is of -3 feet/min.
What is the area of a rectangle?The area of a rectangle of length l and height h is given by:
[tex]A = lh[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dA}{dt} = l\frac{dh}{dt} + h\frac{dl}{dt}[/tex]
In this problem, we have that:
The area is constant, hence [tex]\frac{dA}{dt} = 0[/tex].Area of 2 square feet, height of 2 feet, hence [tex]h = 2, lh = 2 \rightarrow l = 1[/tex].The height is changing at a rate of 6 feet/minute, hence [tex]\frac{dh}{dt} = 6[/tex].Then:
[tex]\frac{dA}{dt} = l\frac{dh}{dt} + h\frac{dl}{dt}[/tex]
[tex]0 = 6 + 2\frac{dl}{dt}[/tex]
[tex]2\frac{dl}{dt} = -6[/tex]
[tex]\frac{dl}{dt} = -3[/tex]
The rate of change is of the width is of -3 feet/min.
To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353
can someone please help me out with this problem i been trying to figure out what the answer is .. ? or at least give me some tips so i can remember for the other problems ??
Answers
Answer: sin
Step-by-step explanation:
10) Two comparisons are shown. Write ONE fraction that makes both statements true.
Answers
Answer:
2/8 could be one
Step-by-step explanation:
Step-by-step explanation:
1/4 could be, because
1/4 is smaller than 3/6
1/4 is bigger than 1/8
10 points
If you had to represent the 800 as a product of its prime factors what
would you do first?
Answers
Answer:
Step-by-step explanation:
800
2x400
2x200
5x40
5x8
2x4
2x2
2^4x5^2
Four wholesalers are having specials on chicken this week.
A table is shown. The table has three columns and four rows. The first column is labeled Wholesaler. The second column is labeled Pounds of Chicken. The third column is labeled Cost. Wholesaler A, ten pounds of chicken, forty dollars. Wholesaler B, fifteen pounds of chicken, forty-five dollars. Wholesaler C, twenty pounds of chicken, fifty dollars. Wholesaler D, twenty-five pounds of chicken, eighty dollars.
Which wholesaler has the best price on chicken?
a
wholesaler A
b
wholesaler B
c
wholesaler C
d
wholesaler D
Answers
Answer:
Wholesaler A.
Step-by-step explanation:
First, put the pounds and dollars into fraction form. Then simplify those fractions. Finally, convert the fractions into decimals and compare the unit prices for each wholesaler. Whichever one is the lowest has the best price.
HOW CAN YOU DETERMINE THE END BEHAVIOR OF A POLYNOMIAL FUNCTION?
Answers
Answer:
Hi there!
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis
I'm sorry if that is not clear enough!
Best wishes,
Pandora
Step-by-step explanation:
Answer:
as x approaches positive infinity or negative infinity, the degree and the leading coefficient of a polynomial function determines the end behavior of the graph
straight from gogle
5+5 also i like people
Answers
Answer:
5+5=10 :D
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
ZA=
Round your answer to the nearest hundredth.
А
?
7
Pro
Pro
B
С
Tee
2 of 4 000
Answers
Answer:
Step-by-step explanation:
The probability that June wins in a raffle is given by the expression p . Write down an expression for the probability that June does not win
Answers
Answer:
1 - p
Step-by-step explanation:
Given
[tex]Winning = p[/tex]
Required
Determine the probability of not winning
To do this, we apply the complement rule which is:
[tex]Not\ Winning = 1 - Winning[/tex]
Substitute p for Winning
[tex]Not\ Winning = 1 - p[/tex]
Hence, the expression that June does not win is: 1 - p
Could someone please explain how to solve for the area?
Answers
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
ayo besties help me
Answers
The answer is -5
Step-by-step explanation:
First, let's understand about what are rational number and Integer.
Both rational and Integer are part or rather say subset of Real Number. Real Number can be broken into these categories:
Rational And IrrationalI will not talk about Irrational since It is a bit off-topic for the question.
Rational can be broken into:
Integer (Positive, Zero and Negative) FractionInteger is a subset of Rational Number and Real Number. But what is really Integer?
Integer is a whole number or any numbers that don't have decimal, fraction. Integer can be ...,-4,-3,-2,-1,0,1,2,3,4,...
The three dot symbol refers to being endless or countable infinity.
Now that you see Integer cannot be fraction, decimal.
Therefore, the answer is -5
Answer: B) -5
Step-by-step explanation:
An integer is like a whole number, but it also includes negative numbers (e.g. -300, -5, 0, 5, 6, 100).
You can write a rational number as a ratio of two numbers (e.g. 7/1, 1/3, -2/3, -4/7).
None of the answer choices given are integers, except -5. It is also a rational number, since it can be written as -5/1.
Hope this helps! Please give me brainliest! I lost 2 of mine and 200 points when my 38 answers were deleted.
what is this pls help me
Answers
Answer:
distance would make the most sense
Answer:
Distance
it's because distance cannot be negative, always making it positive, or the absolute value.
How many solutions does the equation 2 + 6(2 – 4) =
= 3x
18 + 3x have?
Answers
Which equation demonstrates the associative property of multiplication?
Answers
Answer:
A
Step-by-step explanation:
The parentheses are switched around, making the answer still the same. However, for Answer choice C, it is Commutative Property because the factors are switched around.
=====================================================
Explanation:
The equation shown for choice A is in the form p*(q*r) = (p*q)*r which is the general format for the associative property of multiplication.
In this case, p = 2.5, q = 1/5 and r = 2/3.
The order of p,q,r stays the same while the parenthesis shift around. The stuff in the parenthesis is done first before anything else. Though with multiplication, the order doesn't matter which is why we can freely shift the parenthesis like this.
Addition has a similar rule which says p+(q+r) = (p+q)+r.
which value for b makes the inequality true
Answers
Answer:
-42≥-6b
7≤b
The only answer that fits this inequality is 8 1/4, the last choice.
Let me know if this helps!
please help! quick I am fighting two bosses at the same time
Answers
Answer:
24,36
Step-by-step explanation:
Answer:
1. 12
2. 24
3. 36
4. 48
Step-by-step explanation:
−7/8≤m−13/8
plz help i will give brain list if right
stay safe
Answers
Answer:
6/8≤m
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
-7/8≤m-13/8
+13/8 +13/8
6/8≤m
Answer:
answer m≥3/4 it is simplified form of 6/8
Step-by-step explanation:
thank i hope that help
if f(x)=2x^6-5x-1, then what is the remainder when f(x) is divided by x-2
Answers
Answer:
117/(x-2)
Step-by-step explanation:
Symbolab
A strawberry farm had 7,200 plants in total, one field had 18 rows of 200 plants ; the other field had 9. Rows of
Answers
Answer:
We have a total of 7200 plants.
The plants are distributed in one field with 18 rows of 200 plants and another field with 9 rows of N plants.
Where we want to find the value of N.
The total number of plants in the rows is:
"number of rows times number of plants in each row."
Then the total number of plants is:
18*200 + 9*N
And we know that we have a total of 7200 plants, then:
18*200 + 9*N = 7200
9*N = 7200 - 18*200 = 3600
N = 3600/9 = 400
Then the plants are distributed in 18 rows of 200 plants for one field, and 9 rows of 400 plants in the other field.
the interest on a sum of rupess 5000 for 8 yrs at the interest rate 5% is???
Answers
Answer:
Rs. 200
Step-by-step explanation:
Formula: PTR/100
P=Rs.5000
T=8 years
R=5%
Interest = PTR/100
= (5000 x 8 x 5)/100
= Rs.200
Answer:
2000
Step-by-step explanation:
I=P×R×T
=5000×5/100×8
=25000×8
=200,000/100
=2000