Answer:
,,
Step-by-step explanation:
Suppose g(x) = x- 2/x + 1. Evaluate g(4)
a
- 8
b
2/5
c
6/5
d
- 2
Answer:
B. 2/5
Step-by-step explanation:
g(x)=x-2/x+1
g(4)=4-2/4+1
g(4)=2/5
solve the following inequality algebraically. 3(x+10) -6 > 12
Answer:
x > −4
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x+24>12
Step 2: Subtract 24 from both sides.
3x+24−24>12−24
3x>−12
Step 3: Divide both sides by 3.
3x/3 > −12/3
x>−4
Answer:
x>−4
Hope this helps
In each expression below, identify the coefficient, constant, and variable. a. 7 + 9 b. 6 – 5 c. 4.5 – 2.7
The variable is the letter like x or y. The coefficient is the number next to the variable like the 2 in 2x or if its just x it would be 1. The constant is the number by itself usually at the end.
Example 2x+5
Variable is x constant is 5 and coefficient is 2. Sorry i didn't answer the actual question and just told you how to find it but those expressions don't have any of these things.
Answer:
-1 and 1/3
Step-by-step explanation:
I replaced each variable with 1. Other than that I just guessed and got it right lol
HURRY AND ANSWER AS FAST AS YOU CAN!!! PLEASE I NEED THESE BY TODAY The length of a rectangle is (2x - 7)inches and the width is (x2 - 5) inches. Find an expression for the perimeter of the rectangle. A) 2x3 + 35B) x2 - 2x + 2X) x2 + 2x - 12 D) 2 x 2 + 4x -24 The sum of −15x2 −5x + 11 and another polynomial expression is −9x2 + 3x −10. What is the other polynomial expression? A) 24x2 + 8x − 8 B) 6x2 + 8x − 21 C) − 24x2 + 8x + 8 D) − 24x2 + 8x − 8
Answer:
Q1.
Perimeter = 2(Length + Width)
Perimeter = [tex]2((2x-7)+(x^2-5))[/tex]
[tex]2\left(2x-7\right)+2\left(x^2-5\right)[/tex]
[tex]4x-14+2x^2-10[/tex]
[tex]2x^2+4x-24[/tex]
Q2.
[tex](-9x^2+3x-10)-(-15x^2-5x+11)[/tex]
[tex]-9x^2+3x-10+15x^2+5x-11[/tex]
[tex]6x^2+8x-21[/tex]
What is the volume?
8 cm
8 cm
8cm
Answer:
512(cm)3
Step-by-step explanation:
Step-by-step explanation:
If x = 15 units and h = 6 units, then what is the area of the triangle shown above?
Answer:
45
Step-by-step explanation:
Answer:
45 square units
Step-by-step explanation:
greatest common factor of 27 & 45
Answer:
isnt 9?
Step-by-step explanation:
i asked google lololol
Answer:
9.
Step-by-step explanation:
Factors of 27: 1, 3, 9, 27
Factors of 45: 1, 3, 5, 9, 15, 45.
The GCF (Greatest Common Factor) of 27 and 45 is NOT 1, 3, or 27 because 27 is not a factor of 45, and since we are trying to figure out the GREATEST common factor, one and three do not work either. If you need more help, feel free to ask! I am on Brainly from 1 - 2 pm. EST, so if you have any further questions about this subject or my answer, feel free to ask me!
I need help thank you
Answer: C
Step-by-step explanation:
For this problem, we need to translate each point by 4 units left and 3 units down.
Point A
When we move 4 units to the left, x=1. When we move 3 units down, we get y=-2. Therefore, A' is (1,-2).
----------------------------------------------------------------------------------------------------------------
Point B
When we move 4 units to the left, x=3. When we move 3 units down, we get y=2. Therefore, B' is (3,2).
----------------------------------------------------------------------------------------------------------------
Point C
When we move 4 units to the left, x=0. When we move 3 units down, we get y=2. Therefore, C' is (0,2).
----------------------------------------------------------------------------------------------------------------
Point D
When we move 4 units to the left, x=-2. When we move 3 units down, we get y=0. Therefore, D' is (-2,0).
----------------------------------------------------------------------------------------------------------------
After translating each point, we know that C is the correct answer.
is a 2 prime number or a composite number?
Answer:
prime
Step-by-step explanation:
what is the domain and range for f(x)=x^2+8
Answer:
domain: (-∞, ∞) range: [8, ∞)
hope this helps! ;)
Step-by-step explanation:
One yard = three feet. A carpenter has a piece of wood that is 10 yards long. How many feet of wood does the carpenter have
Answer:
30 ft
Step-by-step explanation:
10 yards x 3 ft per yard= 10x3=30 ft
last question. what does a equal
Answer:
x = 25
∠A = 125
Step-by-step explanation:
∠A = ∠B
where
∠A = 6x + 5°
∠B = 4x + 45°
6x + 5° = 4x + 45°
6x - 4x = 45 - 5
2x = 40
x = 40/2
x = 20
plugin x into ∠A = 6x - 5°
∠A = 6x + 5°
∠A = 6(20) + 5°
∠A = 125
Answer:
x = 25
A = 145
Step-by-step explanation:
What is the value of x in the equation
-2/3 x+9= 4/3x-3?
Answer:
6
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-2/3*x+9=(4/3*x-3)=?
Step by step solution :
STEP
1
:
4
Simplify —
3
Equation at the end of step
1
:
2 4
((0-(—•x))+9)-((—•x)-3) = 0
3 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 3 • 3
3 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x - (3 • 3) 4x - 9
———————————— = ——————
3 3
Equation at the end of step
2
:
2 (4x - 9)
((0 - (— • x)) + 9) - ———————— = 0
3 3
STEP
3
:
2
Simplify —
3
Equation at the end of step
3
:
2 (4x - 9)
((0 - (— • x)) + 9) - ———————— = 0
3 3
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
9 9 • 3
9 = — = —————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
-2x + 9 • 3 27 - 2x
——————————— = ———————
3 3
Equation at the end of step
4
:
(27 - 2x) (4x - 9)
————————— - ———————— = 0
3 3
STEP
5
:
Adding fractions which have a common denominator
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(27-2x) - ((4x-9)) 36 - 6x
—————————————————— = ———————
3 3
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
36 - 6x = -6 • (x - 6)
Equation at the end of step
6
:
-6 • (x - 6)
———————————— = 0
3
STEP
7
:
When a fraction equals zero
7.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, then multiplies both sides of the equation by the denominator.
Here's how:
-6•(x-6)
———————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-6 • (x-6) = 0
Equations which are never true:
7.2 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
7.3 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
One solution was found :
x = 6
Answer:
x=6
Step-by-step explanation:
Seven more than twice a number is equal to 21. Find all the numbers that make this sentence is true.
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits
the surface of the lake, the rock's distance from the lake's surface changes at a rate of -3 inches per
second. If Lisa holds her hand 6 feet above the lake's surface, how far from Lisa's hand is the rock 4
seconds after it hits the surface?
A
Answer:
5 feet
Step-by-step explanation:
1 second =-3 inches what of
4 seconds=?
-3×4÷1=-12 inches
-12 inches =-1 foot
6 feet + (-1) foot= 5 feet
A total of 2n cards, of which 2 are aces, are to be randomly divided among two players, with each player receiving n cards. Each player is then to declare, in sequence, whether he or she has received any aces. What is the conditional probability that the second player has no aces, given that the first player declares in the affirmative, when (a) n = 2? (b) n = 10? (c) n = 100?
Answer:
[tex]P(X_s^c|X_F) =0.2[/tex]
[tex]P(X_s^c|X_F) =0.31[/tex]
[tex]P(X_s^c|X_F) =0.331[/tex]
Step-by-step explanation:
From the given information:
Let represent [tex]X_F[/tex] as the first player getting an ace
Let [tex]X_S[/tex] to be the second player getting an ace and
[tex]\sim X_S[/tex] as the second player not getting an ace.
So;
The probabiility of the second player not getting an ace and the first player getting an ace can be computed as;
[tex]P(\sim X_S| X_F) = 1 - P(X_S|X_F)[/tex]
[tex]P(X_S|X_F) = \dfrac{P(X_SX_F)}{P(X_F)}[/tex]
Let's determine the probability of getting an ace in the first player
i.e
[tex]P(X_F) = 1 - P(X_F^c)[/tex]
[tex]= 1 -\dfrac{(^{2n-2}_n)}{(^{2n}_n)}}[/tex]
[tex]= 1 - \dfrac{n-1}{2(2n-1)}[/tex]
[tex]= \dfrac{3n-1}{4n-2} --- (1)[/tex]
To determine the probability of the second player getting an ace and the first player getting an ace.
[tex]P(X_sX_F) = \text{ (distribute aces to both ) and (select the left over n-1 cards from 2n-2 cards}[/tex][tex]P(X_sX_F) = \dfrac{2(^{2n-2}C_{n-1})}{^{2n}C_n}[/tex]
[tex]P(X_sX_F) = \dfrac{n}{2n -1}---(2)[/tex]
[tex]P(X_s|X_F) = \dfrac{2}{1}[/tex]
[tex]P(X_s|X_F) = \dfrac{2n}{3n -1}[/tex]
Thus, the conditional probability that the second player has no aces, provided that the first player declares affirmative is:
[tex]P(X_s^c|X_F) = 1- \dfrac{2n}{3n -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{n-1}{3n -1}[/tex]
Therefore;
for n= 2
[tex]P(X_s^c|X_F) = \dfrac{2-1}{3(2) -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{1}{6 -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{1}{5}[/tex]
[tex]P(X_s^c|X_F) =0.2[/tex]
for n= 10
[tex]P(X_s^c|X_F) = \dfrac{10-1}{3(10) -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{9}{30 -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{9}{29}[/tex]
[tex]P(X_s^c|X_F) =0.31[/tex]
for n = 100
[tex]P(X_s^c|X_F) = \dfrac{100-1}{3(100) -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{99}{300 -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{99}{299}[/tex]
[tex]P(X_s^c|X_F) =0.331[/tex]
Convert 15°F to Celsius.
a. -9.4°C
b. 9.4°C
c. - 59°C
d. 59°C
Answer:
-9.4 degree Celsius
Step-by-step explanation:
By using the formula = 15F - 32 × 5/9
= -9.4 degree Celsius
A local company makes cement posts in the shape of the following three-dimensional
composite
The cone and cylinder both have the same radius, while the height of the cylinder is 3 times the height of the cone.
Which equation can be used to find the total volume of the cement post?
V= 4pi(r^2)h
V= 4pi(r^4)h
V= 10/3pi(r^2)h
V= 8/3pi(^2)h
Answer:
[tex] V = \frac{10}{3} \pi r^2h [/tex]
Step-by-step explanation:
The cone has the following given dimensions:
Radius = r
Height = h
Volume of a cone = ⅓πr²h
The Cylinder has:
Radius = r
Height = 3h
Volume of the cylinder = πr²h = πr²*3h = 3πr²h
Volume of the cement post = volume of Cone + volume of Cylinder
Equation to find total volume of cement post:
V = ⅓πr²h + 3πr²h
[tex] V = \frac{\pi r^2h}{3} + \frac{3 \pi r^2h}{1} [/tex]
[tex] V = \frac{1(\pi r^2h) + 3(3 \pi r^2h)}{3} [/tex]
[tex] V = \frac{\pi r^2h + 9 \pi r^2h}{3} [/tex]
[tex] V = \frac{10 \pi r^2h}{3} [/tex]
[tex] V = \frac{10}{3} \pi r^2h [/tex]
Factor completely:
6z2 + 18z
Answer:
6z(z+3)
Step-by-step explanation:
6z square + 18z
take common..
6z(z+3)
uppose germination periods, in days, for grass seed are normally distributed and have a known population standard deviation of 2 days and an unknown population mean. A random sample of 22 types of grass seed is taken and gives a sample mean of 46 days. Find the error bound (EBM) of the confidence interval with a 90% confidence level. Round your answer to THREE decimal places.
Answer: 0.701
Step-by-step explanation:
Formula : [tex]EBM =z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\alpha=[/tex] significance level , [tex]\sigma =[/tex] Population standard deviation, n= sample size.
As per given, n= 22
[tex]\sigma = 2[/tex]
Critical z- value for 90% confidence level : [tex]z_{\alpha/2}=1.645[/tex]
Then,
[tex]EBM =(1.645)\dfrac{2}{\sqrt{22}}\\\\=(1.645)\dfrac{2}{4.690416}\\\\\approx0.701[/tex]
Hence , error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701
Name the intersection of lines p and r.
H
M
L
M
60:48 in its simplest form
Solution :-
Given ratio to us is 60 : 48 and we are required to convert it into simplest form .
For this first find the HCF of 60 and 48 .
= 48 ) 60 ( 1
- 48
__________
12 ) 48 ( 4
- 48
__________
0
Hence the HCF ( 60,48 ) is 12 .
Now divide the given ratio by 12 .
= [tex]\sf \dfrac{60\div 12}{48\div 12}[/tex]
= [tex]\sf \dfrac{5}{4}[/tex]
=[tex]\sf 5:4[/tex]
[tex]\boxed{\green{\bf{\dag Hence\: the\:simplest\:form\:is\:5:4.}}}[/tex]
Divide: 3 8 ÷ 5 12 The quotient is
Hey there!
ANSWER: [tex]\frac{9}{10}[/tex]
EXPLANATION:
[tex]3/8[/tex] ÷ [tex]5/12[/tex]
Make the numerator 12 and denominator 5.
[tex](\frac{3}{8})(\frac{12}{5})[/tex]
Now put both numerators together and the denominators together.
[tex]\frac{(3)(12)}{(8)(5)}[/tex]
Now multiply numerator by numerator and denominator by denominator.
Numerator:
[tex]3*12=36[/tex]
Denominator:
[tex]8*5=40[/tex]
[tex]\frac{36}{40}=\frac{9}{10}(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
the answer is 9/10
The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony canoes for 2.25 h, he travels 9 km. Which equation shows this direct linear variation?
d = 4t
d = 2t
d = 2.25t
d = 4 + t
Answer:
d= 4t
Step-by-step explanation:
to find distance, the equation is speed multiplied by time and in this question we are given the time and distance so we have to divide 9km by 2.25hrs to find the speed: 9÷2.25= 4 so, the equation would be d=4t which means that to find distance we need to multiply 4 by the time.
what are 3 angles that are congruent to <4
Answer:
12,10,2
Step-by-step explanation:
A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
5−b
b + 5
b⋅5
b−5
Answer:
b + 5
Step-by-step explanation:
If there are 5 more girls and b represents boys, then adding 5 to b (boys) gives you the number of girls. Hope this helps!
Answer:
The second one
Step-by-step explanation: 27-5=22 then u divide 22 divided by 2 and you get 11 then you add five girls to the 11 and you get 16 so there's 11 boys and 16 girls at the party which makes the equation 11+5=16 so the answer is number b (the second one).
In the equation, y = mx + b, the letter b is the
Answer:
The letter by is the y-intercept
Step-by-step explanation:
5x – (13 – x) >_9x – 7
Answer:
x<_2
Step-by-step explanation:
first off solve this like a regular equation the >_ dosent matter till later
so basically first multiply - by 13 and -x so you get -13 and x (multiplying two negatives = a positive)
so its 5x-13+x>_9x-7
add 5x and x to get 6x-13 on one side
then you get 6x-13>_9x-7 then subtract -9x from both sides
so its now -3x-13>_-7 add 13 so you get -3x>_6
then divide both sides by -3 (when you divide an equation with a >< or <_ >_ by a negative number that sign switches) so it will now be x<_2
that your final answer hope this helps :)
whats the value of -9(8.15)
Answer:
- 73.35
Step-by-step explanation:
-73.35 = -9(8.15)
Hopefully this helps you :)
pls give me brainlest ;)
HELP!! ASAP!!!!!!!!!!!!!!!!!!!1
Answer:
No, No, Yes, Yes
Step-by-step explanation:
Answer:
No. What is wrong with you? I'm getting my points back this way.
1 2 3 4 5 6 7 8 9 0
