Answer: [tex]y = 5^x+2[/tex]
The 2 is not in the exponent.
=====================================================
Explanation:
As x gets smaller and smaller, going off into the negative direction forever, the expression [tex]5^x[/tex] will approach 0. This is because we're computing stuff like 5^(-1) = 1/5 = 0.2 and 5^(-2) = 1/25 = 0.04 and so on. The decimal values are approaching 0 but never actually arrive there. The range of [tex]y = 5^x[/tex] is [tex](0,\infty)[/tex]
Adding on the 2 at the end will shift everything up so that the range is now [tex](2,\infty)[/tex]. Refer to the graph below.
The parenthesis in interval notation mean we do not include that endpoint as part of the set. Saying something like [tex](2,\infty)[/tex] is the same as saying [tex]2 < y <\infty[/tex] when talking about the range.
Please help
Solve the inequality.
6x - 2 = 9 or 4 + 3x > 15
X
19 밈
or x >
A
Answer:
x ≤ 11/6 or x > 11/3
Step-by-step explanation:
6x - 2 ≤ 9 or 4 + 3x > 15
6x ≤ 11 or 3x > 11
x ≤ 11/6 or x > 11/3
The given inequality is simplified as x≤11/6 or x>4.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, 6x-2≤9 or 4+3x>15.
Here, 6x-2≤9
Add 2 on both the sides of an inequality, we get
6x≤11
Divide 6 on both the sides of an inequality, we get
x≤11/6
Now, 4+3x>15
Subtract 4 on both the sides of an inequality, we get
3x>12
Divide 3 on both the sides of an inequality, we get
x>4
So, x≤11/6 or x>4
Therefore, the given inequality is simplified as x≤11/6 or x>4.
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Two sides of a rectangle differ by 35 cm. Find the dimensions of rectangle of its perimeter is 67 cm
Answer:
one side is 137/4 and other is 3/4
Step-by-step explanation:
all steps are in picture
HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION
Answer:
(I got your back pal) Your answer is -41/21
Can you give me a brainlest it would help me a lot
pls help! I need the answer quickly!
========================================================
Explanation:
Let's say we had a circle with radius 5
It's area would be
A = pi*r^2
A = pi*5^2
A = 25pi
Now let's increase this by a factor of 4. We'll multiply the area by 4
new area = 4*(old area) = 4*(25pi) = 100pi
Now, we'll use this area value to find what the radius must be
A = pi*r^2
100pi = pi*r^2
100 = r^2
r^2 = 100
r = sqrt(100)
r = 10
The old radius r = 5 jumps to r = 10 so that the area quadruples.
We see that the radius has doubled. This must also mean the perimeter around the circle, aka circumference, must also have doubled.
C = 2*pi*r = 2*pi*5 = 10pi = old circumference
C = 2*pi*r = 2*pi*10 = 20pi = new circumference
This is directly because r has been doubled
-------------
Here's one way to think of why this works:
Consider a square of side lengths 3. It's area is 3*3 = 9.
If we double the sides, then we have a 6 by 6 square of area 6*6 = 36.
Note the jump from 9 to 36 is "times 4". This multiplier 4 is from each side doubling and we have 2*2 = 4.
If you were to triple each side, then the area multiplier would be 3*3 = 9
Multiplying each side by k leads to an area multiplier of k^2.
Which sentence describes a two-column proof?
A.
The left column contains a series of definitions, and the right column states theorems.
B.
The left column contains a series of deductions, and the right column states reasons.
C.
The left column contains a series of reasons, and the right column states deductions.
D.
The left column contains a series of postulates, and the right column states definitions.
12n - 8- 2n + 10 - 4
How to simplify?
Answer:
10n-2
Step-by-step explanation:
12n - 8- 2n + 10 - 4 = (12n-2n)+(-8+10-4)
Simplify.
10n-2
Happy learning!
--Applepi101
Answer:
10n - 2
Step-by-step explanation:
12n-8-2n+10-4
Group all the n together and the other numbers together:
12n-2n-8+10-4
10n-2
a square playing field has an area of 1255 square yards. about how long is each side of the field
Answer: The answer is 35.43 feet rounded to the nearest hundredth.
Step-by-step explanation:
Answer:
The answer is 35.43 feet rounded to the nearest hundredth.
Step-by-step explanation:
If it is a square and the area is 1,255, the width and height of the square is the same. Find the square root of 1,255 and it will give you the length of the height and width (they are both the same being a square).
What is the answer of question 84?
Answer: Most likley F - 24
Step-by-step explanation:
Each student has a 1/4 chance of getting a job and only 4 ppl get picked.
Each student has 4 jobs each since the change each job. (kinda hard to explain)
4 jobs each student (6) =
= 4x6
= 24.
3(2x - 1) = 1/2 (4x - 2) + 2
What would it be?
Answer:
X = 1
Step-by-step explanation:
Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2
Answer:
[tex]3(2x - 1) = 1 \div 2(4x - 2) + 2 \\ 3 \times 2x - 3 \times 1 = .5 \times 4x - .5 \times 2 + 2 \\ 6x - 3 = 2x - 1 + 2 \\ x \: togather \\ 6x - 2x = - 1 + 2 + 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1[/tex]
please solve this question If you answer questions I will make you branilist.
Answer:
its very blury im sooooo sorry
Step-by-step explanation:
In the word percent, the cent represents what number?
19 = -4 + 2/5x + 10
Step by step
Answer:
[tex]x = \frac{2}{65} [/tex]
Step-by-step explanation:
[tex]19 = - 4 + \frac{2}{5x} + 10[/tex]
[tex]19 = 6 + \frac{2}{5x} [/tex]
[tex] - \frac{2}{5x} = 6 - 19[/tex]
[tex] - \frac{2}{5x} = - 13[/tex]
[tex]2 = 65x[/tex]
[tex]x = \frac{2}{65} [/tex]
Which graph represents this system of equations?
y + 2x = 3
y+2 = 3.0
Answer:
Blue = y+2 = 3
Red = y+2x = 3
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzz
Answer:
the answer is 20
Step-by-step explanation:
gtttttfftuuu
8 x the zero power of ten
If A = 6 i -8 j and B = - 16 i + 5 j , what is the magnitude of the vector C = 2 A - B ?
Answer:
Choice a. [tex]35[/tex]
Step-by-step explanation:
Note that [tex]i=(1,0)[/tex] and [tex]j=(0,1)[/tex], so
[tex]C=2A-B=2(6i-8j)-(-16i+5j)=12i-16j+16i-5j=28i-21j=(28,-21)[/tex]
Now the magnitude of a vector [tex](x,y)[/tex] is [tex]\sqrt{x^2+y^2}[/tex], thus the magnitude of [tex]C[/tex] is
[tex]\sqrt{28^2+(-21)^2}=\sqrt{784+441}=\sqrt{1225}=35[/tex]
find the distance between the two points rounding to the nearest tenth (4,0) and (0,9)
Answer:
[tex]\boxed {\boxed {\sf 9.8}}[/tex]
Step-by-step explanation:
We are asked to find the distance between two points. We will calculate the distance using the following formula;
[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points. We are given the points (4,0) and (0,9). If we match the value and the corresponding variable, we see that:
x₁= 4 y₁= 0 x₂= 0 y₂= 9Substitute the values into the formula.
[tex]{d= \sqrt {(0-4)^2+(9-0)^2[/tex]
Solve inside the parentheses.
(0-4)= -4 (9-0)= 9[tex]d=\sqrt{(-4)^2+ (9)^2[/tex]
Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.
(-4)²= -4*-4= 16 (9)²= 9*9= 81[tex]d= \sqrt{(16)+(81)[/tex]
Add.
[tex]d= \sqrt{97[/tex]
Take the square root of the number.
[tex]d=9.848857802[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 8 in the tenth place.
[tex]d\approx 9.8[/tex]
The distance between the two points (4,0) and (0,9) is approximately 9.8
The pie chart below shows the Estrada family’s distribution of the monthly expenses for the last month. The Estrada family spent $366 on clothing last month.
What were the total expenses of the Estrada family last month?
Pie charts are used to show the relationship between data in a circle. The total expenses of the Estrada family last month are: $2287.5
Given that:
[tex]Clothing = \$366[/tex]
From the Pie chart, 13% of the total expenses were spent on clothing.
This means that
[tex]13\% \times Total = Clothing[/tex]
So, we have:
[tex]13\% \times Total = \$366[/tex]
Divide both sides by 13%
[tex]Total = \$366 \div 16\%[/tex]
[tex]Total = \$2287.5[/tex]
Hence, the total expenses are: $2287.5
Read more about pie charts at;
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6x + 2
7x +4
45
can you help me find x to this answer
Answer:
x=3
Step-by-step explanation:
(6x+2 )+(7x+4) =45
13x+6=45
13x=45–6
13x= 39
x=39/13
x=3
I hope I helped you^_^
Which point is the reflection of (2,-5) on the
y-axis?
A. (-2,5)
B. (5,-2)
C. (-5,2)
D. (-2,-5)
Karen flipped a coin 50 times, and the coin came up heads 28 times.
What is the relative frequency of tails in this experiment?
0.28
0.22
0.56
0.44
The relative frequency of tails in the experiment is 0.44
In a coin flip; the outcome is either a Head(H) or Tail(T)
Since;
Total number of flips = 50
Number of heads = 28
Number of tails = 50 - 28 = 22
Recall :
Relative frequency = Number of preferred outcome / Total frequency
Hence, the relative frequency of tail will be :
Number of tails / total number of flips = 22 / 50 = 0.44
Therefore, the relative frequency of tails in the experiment is 0.44
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Here we have a problem of relative frequency.
We do know that if you perform a given experiment N times (flipping the coin in this case), and a given outcome happens n times, the relative frequency of that event is:
rf = n/N
With this, we will find that the relative frequency of tails is 0.44
We do know that:
The experiment was performed 50 times, then N = 50
The coin came up heads 28 times.
Then the other 22 times the coin came up tails.
We want to get the relative frequency of tails in this experiment, then we have n = 22
Using the general formula, we can see that:
rf = n/N = 22/50 = 0.44
The relative frequency of tails in this experiment is 0.44
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The nth term of a geometric sequence is 4*3n-1. Find the first and the 10th term
Answer:
Step-by-step explanations
I don’t know
Help with this question.
9514 1404 393
Answer:
119°
Step-by-step explanation:
Angles DHG and LHI are vertical angles, so have the same measure.
angle LHI = 119°
Which type of imaginary line runs parallel to the Equator on a map?
A. latitude
B. longitude
C. meridian
D. polar
Answer:
A i dont know i think it is i dont know correct me if im wrong
Answer:
A. latitude
Step-by-step explanation:
The type of imaginary line that runs parallel to the Equator on a map:
A. latitude
1. Which of the following is NOT equivalent to
"3 times the sixth power of 10?"
A 3 X 106
B 3,000,000
© 3 X 10 X 6
D 3 X 1,000,000
Answer: C
Step-by-step explanation:
This is 3 times 10 times 6, not 3 times the sixth power of 10.
What is the solution to this system of equations?
-a - 3b + 4c = 3
5a – 8 + 5c = 27
5a – 26 + 60 = 1
Answer:
Here is your answer. Hope this helps you!
On a number line is 7/3 located between 2 and 3?
Answer: Yes it is.
Step-by-step explanation:
Mixed to proper
7/3 = 2 1/3
Let A be a 4 x 5 matrix and Let B be a 4 x 4 matrix. Suppose you were asked to multiply matrix A times matrix B. When multiplied the resulting solution of multiplying matrix A times matrix B will be a 4x 4 matrix.
a. True
b. False
Answer:
b. false
Step-by-step explanation:
when multiplying matrixes the number of columns of the first matrix must be equal as the number of rows of the second matrix, and since here matrix A has 4 columns but matrix B has 5 rows they can't be multiplied
-3x(x - 4) + 2 - (5 - x)
Answer:
[tex] - 3x(x - 4) + 2 - (5 - x) \\ = - 3 {x}^{2} + 12x + 2 - 5 + x \\ = - 3 {x}^{2} + 13x - 3[/tex]
I hope I helped you^_^
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
B. Jason is correct. This population is best for his question.
C. Jason is not correct. Since sports are played during different seasons, he would
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answer:
D
Step-by-step explanation:
I hope thats correct