Answer: [tex]\frac{9}{x-1}[/tex]
Step-by-step explanation:
Since the denominators are the same, we can subtract the numerators.
[tex]\frac{x+1}{x-1}-\frac{x-8}{x-1}=\frac{(x+1)-(x-8)}{x-1}=\boxed{\frac{9}{x-1}}[/tex]
A number, n, is divided by -1/3. The product is 6/5 what is the value of n?
Steps are attached.
Answer =》n = -2/5 = -0.4
______
RainbowSalt2222 ☔
For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.
a) x = 4/3, Equation: 3x^2 + 5x - 12=0
b) x=1 + square root 6 , Equation: x^2 - 2x-5=0
c) x= 1 + 2i, Equation: x^2 - 2x+5=0
a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Learn more about quadratic equations here:
https://brainly.com/question/11982012
In parallelogram HJKL if JM=19 find ML.
Answer:
19
Step-by-step explanation:
in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps
what is the amount if local tax withheld on this W-2
A) $2294
B) $2340
C) $256
D) 4599
Step-by-step explanation:
the local tax is B) $2340 thats what i got
The additive inverse of [tex]a-b[/tex] is:
A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]
Additive inverse refers to any number that when added to the original number gives the result as zero.
[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]
kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____
PLSS HELP!!
Answer:
fluffy is the longest snake.
muffy is 900 millimeters longer than fluffy
Step-by-step explanation:
PA BRAINLIEST
HOPE ITS HELP
GOD BLESS
a number divided by 5 increased by 4
Answer:
(n/5)+4
Step-by-step explanation:
I think you were asking for the equation?
Answer:
X/5 + 4
Step-by-step explanation:
X is the “number”
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answer:
first 45-6=36 and 36×6=216 the answer is 216
???????????????????? :((
Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as [tex]\frac{1}{1}[/tex]. A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form [tex]\frac{a}{b}[/tex] , where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers cannot be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither terminating, nor repeating. A couple examples of irrational numbers are: π and [tex]\sqrt{2}[/tex], as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. Real numbers comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
What is the volume, in cubic inches, of a rectangular prism with a height of 7 inches, a width of 10 inches, and a length of 9 inches?
Answer:
Step-by-step explanation:
87
Answer:
630 in.³
Step-by-step explanation:
To find the volume of a rectangular prism, you can multiply the height, times the width, times the length. So, let's go ahead and do that with the values of the given prism.
7 × 10 × 9 = 70 × 9 = 630
So, our volume is 630...but not so fast. We also have to put in our units. Our units are inches × inches × inches, or inches³. So our final value is 630 in.³
Hopefully that's helpful! :)
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
Answer:
just figure it out or just search it somewhere on the brainly app for the answer :)
what is the reason for line 3??
Answer:
SAS similarity
Step-by-step explanation:
LO and LP are proportional to LN and LM, as shown by:
[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]
Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate
Due Tomorrow: Answer question 18 using steps
[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]
[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]
[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]
Now
[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]
[tex]\\ \sf\longmapsto AC^2=49+81[/tex]
[tex]\\ \sf\longmapsto AC^2=130[/tex]
[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]
Evaluate the following expression. 12!
Answer:479001600
Step-by-step explanation:
12 factorial is 12 * 11 * 10 ..... all the way to one
A way to do it by hand is
12 * 1
11 * 2
10 * 3
9 * 4
8 * 5
7 * 6
stop here because 6 * 7 and 5 *8 are already listed
This gives you 6 products then multiply those 6 products by pairs which gives you three pairs which gives you three products then compute a pair then multiply by last product.
Easy math but a lot of written work
15 POINTS!!!! Can someone simplify this as much as possible? ty!
245 = 50 + 1s
Step-by-step explanation:
245=50+1s. /-50
195=1s
s=195
Are the ratios 2:1 and 11:9 equivalent?
Answer: No
Step-by-step explanation:
2 is double 1.
Because 11 is not double 9, the ratios are not equivalent.
Hope it helps :)
Original price of shorts $53.95 Discount 30% Tax:4.5%
Answer:157.35
Step-by-step explanation: multiply then add the tax
PLEASE HELPPPP
Find m∠BXY.
Answer:
I think 30°Step-by-step explanation:
Pls make me brainliest plssssssssssssssImsureeeeeeee123
A family buys a studio apartment for $180,000. They pay a down payment of $27,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $9,000 down payment be
Answer:
down is $153000 while purchase price is $144000
Write the equation of the line passing through the points (9,2 ) and (-3, -2)
Answer:
[tex]y=\frac{1}{3} x-1.[/tex]
Step-by-step explanation:
if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:
[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]
2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:
[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]
or in slope-interception form:
[tex]y=\frac{1}{3} x-1.[/tex]
Please answer soon 15 points try to include explanation
Answer:
36 units
Step-by-step explanation:
The segment joining the midpoints of two sides of a triangle is half the length of the third side, then
AC = 2 × 7 = 14
BC = 2 × 5 = 10
AB = 2 × 6 = 12
perimeter of Δ ABC = 14 + 10 + 12 = 36
solve for a?
a
+
-
If a
a
= 2
6 3
=
4
Step-by-step explanation:
which function is represented by the graph?
Answer:
[tex]y=-\sqrt{x+2}-1[/tex]
Step-by-step explanation:
Hi there!
Please take a look at the attached image. This is the parent function of the radical function.
[tex]y=\sqrt{x}[/tex]
This equation represents the transformations of the parent function:
[tex]y=a\sqrt{b(x-h)}+k[/tex]
a dictates vertical stretch.
b dictates horizontal stretch.
h dictates horizontal translation.
k dictates vertical translation.
If we take a look at the given graph, we can tell that the following transformations have been applied:
- reflection across x-axis (a = -1)
- translation 2 units to the left (h = -2)
- translation 1 unit down (k = -1)
Therefore, the function that represents the graph is:
[tex]y=-\sqrt{x+2}-1[/tex]
I hope this helps!
A family gathered 20 small sea shells from the beach brining the total number of small seashells in their collection to 41.
Which equation can be used to find, x, the number of small sea shells in the collection before the 20 were added
A:. 20_x =41
B:. x- 21 =41
C:. x + 20 =41
D:. 20x=41
HELPPPP
EXCEPT PT TH 20_x UNDER EACHOTHER PLS
Answer:
C, x + 20 = 41
Step-by-step explanation:
X represents the number of small sea shells that we originally had. When the family adds 20 more shells, that makes x + 20. The total number is 41, so that means the number of sea shells they already had (x) plus the number of sea shells they collected (20) equals the number of shells they have now (41).
A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?
HELP PLSSS !!!
Answer:
27 minutes
Step-by-step explanation:
3 + 2 = 5
45 / 5 = 9
3 * 9 : 2 * 9
27 : 18
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
Please mark as brainlliest
Evaluate. 3⋅23+52−18÷6 need help ASAP
The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.
The given numerical expression would be below as:
⇒ 3⋅23 + 52 − 18 ÷ 6
Using the PEMDAS rule in the above expression,
⇒ 3⋅23 + 52 − 18 ÷ 6
Apply the multiplication operation,
⇒ 69 + 52 − 18 ÷ 6
Apply the division operation,
⇒ 69 + 52 − 3
Apply the addition operation,
⇒ 121 − 3
Apply the subtraction operation to get
⇒ 118
Therefore, the evaluated value of the given expression would be 118.
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
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Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?
By definition of the [tex]\ell_p[/tex] norm,
[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]
[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]
[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]
and so x and y are closest together with p = infinity and furthest apart with p = 1.
In my town, gas prices are always listed to the thousandth place. Since the smallest coin we have is the penny, we have to round them to the hundredth place. If the price of gas is $8.162, what will the price be when we round it to the hundredth place?