Answers
9514 1404 393
Answer:
x = -2 or 3
Step-by-step explanation:
Let z = 2^x. Then the equation becomes ...
[tex]2^{2x+2}+8=33(2^x)\\\\(2^2)(2^x)^2+8=33(2^x)\\\\4z^2+8=33z \qquad\text{substitute $z$ for $2^x$}\\\\4z^2-33z+8=0 \qquad\text{put the quadratic in standard form}\\\\(4z-1)(z-8)=0 \qquad\text{factor}\\\\z=\dfrac{1}{4}\text{ or }z=8\qquad\text{values of z that make the factors 0}\\\\x=\log_2{z}=\{-2,\ 3\}[/tex]
The values of x that satisfy the equation are -2 and 3.
_____
For the graph, we rewrite the equation to the form ...
f(x) = 0
where
f(x) = 2^(2x+2) +8 -33(2^x)
Then the x-intercepts of the function are the solution values for x.
Related Questions
Pls help due soon!!!
Answers
Answer:
B) 10 m
Step-by-step explanation:
Area is 20 and Height is 4
Ok so
AREA of a triangle is =1/2Base Times Height
work back
Area=20
Height=4
b=Base
20=1/2b*4
Simplify both sides of the equation.
20=2b
Flip equation
2b=20
Divide both sides by 2
b=10
Base=10 m
Answer:
10m
Step-by-step explanation:
Area of a triangle: [tex]\frac{1}{2}[/tex]bh
where 'b' = base and 'h' = height
plug in known values: 20 = [tex]\frac{4b}{2}[/tex]
cross-multiply: 4b = 40
b = 10
this one is for yakoro is if your not yakoro keep scrolling
here ya go
Answers
Answer:
Aaaawwwww thx so much
Step-by-step explanation:
Yes all of you peasants bow, I am the queen!
Answer:
I'll answer
Step-by-step explanation:
thx for the points XD
Please solve for x
y+x=89
y=11
x=???
Answers
Answer:
78
Step-by-step explanation:
11 + x = 89 Subtract 11
11 - 11 + x = 89 -11
x = 78
Step-by-step explanation:
Hey there!
Given;
y+x= 89.......(a)
y = 11
~ Substitute the value of y on equation (a)
11+x = 89
~ Subtract 11 from both sides.
11+X -11 = 89-11
x = 78.
Therefore, the value of x is 78.
Hope it helps....
Write a positive or negative integer that represents the situation.
You earn 7 points in a game.
Answers
Answer:
what situation...there"s no any situation
Between 10 pm and 7:45 am the water level in a swimming pool decreased by 9/50 inch. Assuming the constant rate how much did it drop each hour
Answers
So the correct answer is “6/325”
plsplsplsplsplsplsplspsslspsplslsplssppslspslslplspslshelp
Answers
Answer:
0.02
Step-by-step explanation:
divide the money by how much you have..
i dont know if its right but i hoped i helps
Answer:
$0.02 each lollipop
Step-by-step explanation:
divide $20 by quantity to get unit rate
20/1000 = 2/100 = 2 cents
Which is a solution to the system of inequalities? y > - 2x + 5 ; 3x - 4y ≤ - 24
Answers
Answer:
y > 2x+5 and y > 6+ 3z/4
Step-by-step explanation:
solve each inequality and then find the intersection
Answer:
y > - 2x
Step-by-step explanation:
A polynomial function is also:
a. infinite.
d. indiscriminate.
c. rational.
d. irrational.
Answers
Answer:
A. Infinite
Step-by-step explanation:
First lets define a polynomial function. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation.
Well Infinite functions are functions that have an answer of all real numbers right? So that would make sense.
Honestly I've never heard of an indiscriminate.
Irrational function has answers that can only be zero or above never negative because its inside a radical sign and radical answers can't be negative. If you've ever seen the graph of an irrational function though it looks nothing like a polynomial.
A rational function is a function that the polynomial in it does not equal zero.
A polynomial function is not always a rational function though. But it can be.
I hope this helps. <3
The Polynomial function is also a :
Rational Function
What is Discriminant in Math?Discriminant of a polynomial in math is a function of the coefficients of the polynomial.
There can be irrational Coefficient in a polynomial.
Yes, All polynomials are rational expressions but all rational expressions need not be polynomials.
Consider a polynomial p(x).This can be written as a rational expression as p(x)/1.
So, The Polynomial function is also a :
Rational Function
Learn more about Polynomial function at:
https://brainly.com/question/11298461
#SPJ2
Marissa drove 3000 miles in 75 hours. At this rate, how long will it take her to drive 4000 miles?
Answers
Answer:
88.33 hrs
Step-by-step explanation:
Answer:
100 hours
Step-by-step explanation:
You can divide 3000 miles by 75 hours to find the mile per hour. You get 40mph and you divide 4000 by 40 to get 100 hours for 4000 miles.
Using the scenario below, what would you do in each step of the SIPDE
process:
You are driving at 55 mph on an Interstate. A car in front of you has a
blow out on its right front tire.
Answers
Answer:?
Step-by-step explanation:
Answer: scanning, predicting, identifying, decision making, and executing
Step-by-step explanation:
Find the greatest common factor (GCF) of 16 and 56.
Use the GCF to factor 16+56.
GCF =
16 + 56 = _ x (_+_)
Answers
Answer:
GCF is 8
16 + 56
= 8(2 + 7)
Step-by-step explanation:
Here, we want to write the greatest common factor of 16 and 56
The greatest common factor is 8
We can use tie rewrite the sum as follows ;
16 + 56 = 8(2 + 7)
There will be 666 people at ellie's pie party. She wants to bake enough pie so that each person can eat at least \dfrac15 5 1 %e2%80%8b start fraction, 1, divided by, 5, end fraction of a pie. What is the minimum number of pies ellie should bake?
Answers
Answer: 2 pies
Step-by-step explanation:
Here is the correct question:
There will be 6 people at Ellie's pie party. She wants to bake enough pie so that each person can eat at least 1/5 of a pie.What is the minimum number of pies Ellie should bake?
Since each person can eat at least 1/5 of the pie and there are 6 people, the 6 people would them eat at least (6 × 1/5) = 6/5 pie. Since we are talking about whole numbers with regards to the pie, it simply means that at least 2 pies should be baked.
$75 divided by 18% tip
Answers
Answer:
.18
Step-by-step explanation:
What is a 18 percent tip by bill amount?
...
What's a 18% Tip on a $75 Bill?
Bill: $75.00
Tip: $13.50
Total: $88.50
sooooo 13.50 divided by 75.00 = .18
byeeeee :)
Rewrite 300 in simplest radical form?
Answers
Answer:
10√3
Step-by-step explanation:
First we write the square root of 300 like this:
√300
The largest perfect square of the factors of 300 is 100. We can therefore convert √300 like this:
√100 × 3
Next, we separate the numbers inside the √ as such:
√100 × √3
√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 300 in simplest radical form as follows:
10√3
Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut?
Answers
Answer:
12 1/2
Step-by-step explanation:
Answer:
12 pieces and 1/5 is left over
Step-by-step explanation:
2 tan 30°
II
1 + tan- 300
Answers
Question:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]
Answer:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]
Step-by-step explanation:
Given
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]
Required
Simplify
In trigonometry:
[tex]tan(30^{\circ}) = \frac{1}{\sqrt{3}}[/tex]
So, the expression becomes:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}[/tex]
Simplify the denominator
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}[/tex]
Express the fraction as:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= \frac{2}{\sqrt 3} / \frac{4}{3}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2}{\sqrt 3} * \frac{3}{4}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{1}{\sqrt 3} * \frac{3}{2}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3}[/tex]
Rationalize
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3\sqrt{3}}{2* 3}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\sqrt{3}}{2}[/tex]
In trigonometry:
[tex]sin(60^{\circ}) = \frac{\sqrt{3}}{2}[/tex]
Hence:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]
Write a real-word problem that can be modeled by 4*(-7).
Answers
Answer:
Kimberly is hiking a huge canyon. Every very hour, she hikes down the canyon, and gets -7 feet deeper. How many feet deep is she in 4 hours?
Step-by-step explanation:
I hope this is good.
9. Tell whether the table is a linear equation and explain why
Answers
When a point moves right on a coordinate plane,
what happens to its x-value?
Answers
Answer:
The coordinate plane is like a cross right? Just remember if you go right the x value is going into the positive direction, if you go up the y value is also going into the positive direction. And positive direction means the value will increase.
So (3,0), would be further left than (10,0). Or (0,5) would be higher than (0,2) on the graph.
Find the volume of a pyramid with a square base, where the perimeter of the base is 15.8\text{ ft}15.8 ft and the height of the pyramid is 20.4\text{ ft}20.4 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
The volume of the Pyramid is 318.3 cubic foot
Step-by-step explanation:
Here, we want to calculate the volume of the Pyramid
Mathematically, the volume of the pyramid is the area of the square base multiplied by the height of the Pyramid.
Since the perimeter is 15.8 and the formula for the perimeter is 4L
we can get the length of the side of the square
The length of the side will be 15.8/4 = 3.95
The area of the square base is thus equal to;
3.95^2 = 15.6025 square feet
Now we can multiply this by the height
Mathematically, that will be;
15.6025 * 20.4 = 318.291 which is approximately 318.3 cubic foot
Answer:
106.1 ft
Step-by-step explanation:
(0.9)+'
What is the approximate rate of decay in the exponential function f (t)
?
A
0.02
B.
0.1
С
0.11
D
0.9
Answers
Answer:
soooo u do dis and dat and OPE lookit the time
Dum Step-by-step explanation:
looks like its time to act dum ayy friend me. im givin out free points every weekday. if its friday, i do it every hour, called free point friday. check me out.
What are the missing operations?
48 ? (-8) = (-6)
(-40) ? 8 =( -5)
12 ? (-2) = 14
18 ? (-12) = 6
18 ? (-20) = -2
22 ? (-0.5) = -11
If you answer this I will give 26 points please help me!!!!
Answers
Answer:
Solution in photo
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x + 2y = 350
What is X and Y?
Answers
y = -1x + 175
Plug in any value for x to find y
Example: when x = 1
Y = -1(1) + 175, y = 174
In this case, (1,174)
Keep doing that, there are many solutions!
HELP ASAP Store A sells 5 bagels for $2.05. Store B sells 3 bagels for $1.35. How do the unit rates compare?
A. The bagels at Store A are $0.04 more expensive than the bagels at Store B.
B. The bagels at Store A are $0.03 more expensive than the bagels at Store B.
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
D. The bagels at Store B are $0.03 more expensive than the bagels at Store A.
3 / 24
Answers
Step-by-step explanation:
Store A:
5 bagels for $2.05, 1 bagel for $2.05/5 = $0.41.
Store B:
3 bagels for $1.35, 1 bagel for $1.35/3 = $0.45.
Hence the bagels at Store B are $0.04 more expansive than the bagels at Store A. (C)
Answer:
1. B
2. A
3. B
4. C
Which expression is equivalent to 10 square root 5
awnsers
a.) square root 500
b.) square root 105
c.) square root 50
d.) square root 15
Answers
Answer:
[tex]a) \sqrt{500} [/tex]Step-by-step explanation:
[tex]10 \sqrt{5} [/tex]
[tex] \sqrt{ {10}^{2} } \sqrt{5} [/tex]
[tex] \sqrt{5 \times {10}^{2} } [/tex]
[tex] \sqrt{5 \times 100} [/tex]
[tex] \sqrt{500} [/tex]
Answer:
500
Step-by-step explanation:
I took the test
HELP IM TIMED
What is the multiplicative rate of change of the function? One-third Two-thirds 2 9
Answers
Answer:
B/2) Two-Thirds Or 2/3
Step-by-step explanation:
PLEASE HELP and explain! ill give brainliest if you do
Answers
Area of the rectangle
[tex] = l \times b[/tex]
[tex] = 8 \times 6[/tex]
[tex] = 48 {in}^{2} [/tex]
Area of the semicircles
[tex] = 2 \times ( \frac{1}{2} \pi {r}^{2} )[/tex]
[tex] = \pi {r}^{2} [/tex]
[tex] = \pi {3}^{2} [/tex]
[tex] = 9\pi[/tex]
[tex] = 9 \times 3.14[/tex]
[tex] = 28.26 {in}^{2} [/tex]
Area of the figure
[tex] = 48 + 28.26[/tex]
[tex] = 76.26 {in}^{2} [/tex]
= 76.3in²
(rounded)
Answer:
76.3in squared
Step-by-step explanation:
12. Which of the following shows the domain and range of F(x) = 2 |x|?
Answers
Answer:
Step-by-step explanation:
3
Which point on the number line represents 4?
B
с
D
D
o
В
O
Answers
Answer: B
Step-by-step explanation:Because you look at the the value place and make sure it is under zero and also make sure it is in the correct spot.
plz leave a like
A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder
Answers
Answer:
15 bundles of roofing shingles
Step-by-step explanation:
Total bundles of roofing shingles = 29
He carries two bundles at a time
How many bundles are still on the ground after his seventh trip up the ladder?
First trip = 2 bundles of roofing shingles
Second trip = 2 bundles of roofing shingles
Third trip = 2 bundles of roofing shingles
Fourth trip = 2 bundles of roofing shingles
Fifth trip = 2 bundles of roofing shingles
Sixth trip = 2 bundles of roofing shingles
Seventh trip = 2 bundles of roofing shingles
Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2
= 14 bundles of roofing shingles
Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips
= 29 - 14
= 15 bundles of roofing shingles