Answer:
(6,-3) and 5
Step-by-step explanation:
Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5
Identify a transformation of the function f(x) = _x by observing the equation
of the function g(x) = x+1.
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here g(x) = [tex]\sqrt{x}[/tex] + 1
The base graph f(x) has been shifted up 1 unit
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
9514 1404 393
Answer:
x = (√2)/2
Step-by-step explanation:
The diagonal is √2 times the side length (x), so ...
1 = x√2
√2 = 2x . . . . . multiply by √2
(√2)/2 = x . . . . divide by 2
The side length x is (√2)/2.
If A = -x + 2x - x + 1 and B = x² + 5, find A + B.
Answer:
6 + x^2
Step-by-step explanation:
Plug in the values for A and B.
(-x + 2x - x + 1) + (x^2 + 5)
Remove the parenthesis. Combine like terms.
-2x + 2x = 0
1 + x^2 + 5
Combine like terms again.
6 + x^2
Y+y+y+y rewrite in multiplication
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
for what value of x does 4^x=(1/8)^x+5?
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?
10. A moving van company charges a fee of 35.00 dollars for the truck rental and 25 cents for every mile the truck travels from the loading location. Let y be the cost in dollars for using the truck for x miles. Write the slope-intercept form of the equation.
Answer:
y=0.25x+35
Step-by-step explanation:
if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35
Answer:
y = .25 x + 35
Step-by-step explanation:
Total cost = cost per mile * number of miles * flat fee
y be the cost in dollars
x = miles
y = .25 x + 35
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
I need help with this question. Pls give me an answer /steps and explanations.
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
Express your answer using positive exponent.
[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]
adding power of common term and multiply constant term:
[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]
[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
[tex]30s^5t^9u^{10}v^8[/tex]
Step-by-step explanation:
We'll be using the following exponent property to solve this problem:
[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]
This will allow us to combine terms with the same variable.
In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].
Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.
Therefore, combine using the exponent property I mentioned above:
[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]
Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].
Combine using the exponent property:
[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]
Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:
[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]
[tex]v^7\cdot v=v^{7+1}=v^8[/tex]
Finally, combine all the terms together:
[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]
Do the activity please it's trigonometry
Answer:
SinA=k/g
cotA=k/j
secA=g/j
cosecB=g/k
tanB=l/k
cosB=k/g
You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 170 men, and 70% own cats. You sample 190 women, and 40% own cats. Find the proportion of the pooled samples, ( p c pc ), as a decimal, rounded to two decimal places.
Answer:
The proportion of the pooled samples is 0.54.
Step-by-step explanation:
We have that:
70% of men own cats.
The proportion of men in the sample is:
[tex]\frac{170}{170+190} = 0.4722[/tex]
40% of women own cats.
The proportion of women in the sample is: 1 - 0.4722 = 0.5278
Proportion of the pooled samples
[tex]p = 0.7*0.4722 + 0.4*0.5278 = 0.54[/tex]
The proportion of the pooled samples is 0.54.
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Answer:
Step-by-step explanation:
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
The value of a two digit number whose units digit is u and the sum of the digits is 7
write an algebraic expression
Answer:
The expression is 70 - 9 u .
Step-by-step explanation:
Digit at ones place = u
Let the digit at tens place is y.
Sum of the digits is 7.
y + u = 7
y = 7 - u
So, the number is
10 y + u
= 10 (7 - u) + u
= 70 - 10 u + u
= 70 - 9 u
While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store
-2x + 8 = -26
plz help!!!!!!!!!!!!!
Answer:
x = 17
Step-by-step explanation:
-2x + 8 = -26
Subtract 8 from each side
-2x + 8-8 = -26-8
-2x = -34
Divide each side by -2
-2x/-2 = -34/-2
x = 17
Answer:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17
Answer quick plsssssssssss thx
Answer:
I think Substitution
Step-by-step explanation:
Because x is already solved for in the second equation.
Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
Answer:
-(1/(x+h-3)(x-3))
Step-by-step explanation:
y=1/(x-3)
(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))
At a breakfast buffet, 63% of people choose coffee for their beverage while 23% choose juice,
Also, 20% choose both coffee and juice. What percentage of people chose coffee only
The percentage of people who chose only coffee will be 43%.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
At a breakfast buffet, 63% of people choose coffee as their beverage while 23% choose juice.
Also, 20% choose both coffee and juice.
Then the percentage of people who chose only coffee will be given by the difference of 63% and 20%.
⇒ 63% - 20%
⇒ 43%
Thus, the percentage of people who chose only coffee will be 43%.
More about the sets link is given below.
https://brainly.com/question/8053622
#SPJ2
The entrance fee to a local waterpark is $28 per person. At the waterpark, you can rent a raft for $2.50 per hour. Which expression is equivalent to
the amount it would cost Colton for h hours in the park if he rented a raft? �� 2.50h - 28
�� 2.50 (h - 28)
�� 2.50h + 28
�� 2.50 (h + 28)
Answer:
C
Step-by-step explanation:
The 28 is independent of the number of hours. Both B and D are incorrect.
You don't subtract the 28 from the total. That's part of the total. A is wrong.
The answer is C
Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 3 cities, 3 months, and 1 airline to choose from. How many different vacation packages do they offer?
=___
An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?
Answer: [tex]7.48\ cm[/tex]
Step-by-step explanation:
Given
The equal side of two isosceles triangle are [tex]9\ cm[/tex] long
Base of the triangle is [tex]10\ cm[/tex] long
Median divides the base into two equal halves
from the figure, it can be written
[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]
The length of the segment is [tex]7.48\ cm[/tex]
How tall is a stack of cube-shaped blocks whose volumes are 375 in3, 648 in3 and 1,029 in3? Round your answer to the nearest tenth. Hint: Volume = s3
Answer:
Step-by-step explanation:
If x = a sin teta and y = b cos teta
Find the value of b^2x^2+ a^2y^2
Plssss plsss helppp
[tex]\\ \sf\longmapsto b^2x^2+a^2y^2[/tex]
[tex]\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2[/tex]
[tex]\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta[/tex]
[tex]\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)[/tex]
[tex]\\ \sf\longmapsto a^2+b^2(1)[/tex]
[tex]\\ \sf\longmapsto a^2b^2[/tex]
Last one thanks to whoever helps
Answer:
see below
Step-by-step explanation:
take f(x)=5x-6, which is y=5x-6
switch the y for x and x for y and you get
x=5y-6
then add 6 on both sides and you get
x+6=5y
now divide both sides by 5 and you get
y=(x+6)/5
which is the inverse of the original function
Answer:
Solution given:
f(x)=5x-6
let f(x)=y
we get
y=5x-6
Interchanging role of x and y
x=5y-6
x+6=5y
y=[tex]\bold{\frac{x+6}{5}}[/tex]
so
f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]
shown
rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'
Answer:
(x+12, y-24)
Step-by-step explanation:
The rule is (x, y) -> (x+12, y-24)
What is the domain of the function shown in the table?
X
-2
-1
0
1
y
0
1
2
3
A. (-2,-1,0,1,2,3)
B. {-2, -1,0,1)
C. {0, 1, 2, 3)
D. (-2, 0),(-1,1),(0, 2), (1,3)
Answer:
{ -2,-1,0,1}
Step-by-step explanation:
The domain are the values for the input
Domain { -2,-1,0,1}
Round 5,693.251 to
thousands
and
tenths
Answer:
5693.251 = 5693.251, rounded to thousands (no change)5693.251 = 5693.3 rounded to tenths (rounded up as hundredths digit is 5)Step-by-step explanation:
Nearest thousandth = 5693.251
Nearest tenths = 5693.3
HELP ASAP!!!!! Which statement is not always true for a parallelogram?
Answer:
D
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary.
Thus statement D is not always true.
A. 4
B.-1/4
C. 4
D. 1/4
O 131 If cos 23°=P, express without the use of a calculator the following in terms of p.
Cos203°
Answer:
cos203° = - p
Step-by-step explanation:
Using the addition formula for cosine
cos(a + b) = cosacosb - sinasinb
cos203°
= cos(180 + 23)
= cos180°cos23° - sin180°sin23°
= cos180°. p - 0
= - 1 . p
= - p
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Generally, the ________ the sample, the more accurately it describes the population.
A. closer
B. better
C. smaller
D. larger
Answer:
The correct answer of this question is( larger)
may this answer is helpful for you