which of the following functions shown in the table below are exponential functions?
Answers
The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.
The complete question is attached below.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept.
The exponent is given as
y = aˣ + b
Checking for g(x), then we have
g(x) = 5ˣ
Then the function g(x) satisfies all the condition.
Checking for k(x), then we have
k(x) = 4⁻ˣ
Then the function k(x) satisfies all the condition.
Then the correct option are B and D.
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Related Questions
Practice B
Study the graph below and answer the following questions.
100
80
No. of Face Shields Sold
60
40
20
Face Shields Sold by Ms. Lopez
Monday Tuesday Wednesday
Thursday
Days
1. On what days did she sell the same number of face shields?
2. On what day's did she set more than 60 face shields?
3. How many face shields did she sell in 5 days?
4. How many more face shields did she sell on Thursday than on Friday?
What inference can you make if Ms. Lopez will sell face shield the whole week?
Friday
Answers
Answer:
Where did the writer go in holiday
What is the probability of
spinning an A?
B
B
A
B
C
A
[?]%
C
Answers
Answer:
25%
Step-by-step explanation:
when we count, we know that there are 8 possible outcomes as to where the spinner will land.
{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}
We know that two of these 8 possibilities are "A"
This means that A has a 2/8 chance of being landed on
we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions
to calculate percentage, we can follow through with our equation of 1/4
[divide 1 by 4]
1 / 4 = 0.25
We multiply this number by 100 to find percentage,
0.25 × 100 = 25
meaning that A has a 25% chance of being spun
hope this helps!! have a lovely day :)
Answer:
25%
Step-by-step explanation:
2 / 8 = 0.25
0.25 = 25%
Which expression is equivalent to 3√64ab²c³?
2abc²[√4a²b³c]
4a²b²c³ (3√5)
8a³b³c¹ (3√/bc)
8a²b²c³(3√/b)
Answers
Answer:
[tex]4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]
Step-by-step explanation:
**Please note that the expression quoted in the question is likely incorrect (see attachment)**
Assuming the expression is:
[tex]\sqrt[3]{64a^6b^7c^9}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}{ \cdot \sqrt{b}[/tex]
[tex]\implies \sqrt[3]{64} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]
Rewrite 64 as 4³:
[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \sf to\:\:b^7[/tex]
[tex]\implies b^7=b^{6+1}=b^6b^1=b^6b[/tex]
Therefore:
[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}b}\cdot \sqrt[3]{c^9}[/tex]
[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}}\cdot \sqrt[3]{b}\cdot \sqrt[3]{c^9}[/tex]
[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]
[tex]\implies 4^{\frac{3}{3}} \cdot a^{\frac{6}{3}} \cdot b^{\frac{6}{3}} \cdot \sqrt[3]{b} \cdot c^{\frac{9}{3}}[/tex]
Simplify:
[tex]\implies 4^1 \cdot a^2 \cdot b^2 \cdot \sqrt[3]{b} \cdot c^3[/tex]
[tex]\implies 4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]
The expression is seemed to have none of the above solutions
Complete the hypothesis about the product of two rational numbers. Select the correct answer from each drop-down menu. The product of two rational numbers is number because multiplying equivalent to the ratio of which is number.
Answers
Answer: I hope this helps you in what you're doing.
Step-by-step explanation: Because multiplying two rational numbers results in the ratio of two integers, which is also a rational number, the product of two rational numbers is also a rational number.
What are the coordinates of R', the image of R(-4, 3) after a reflection in the line
y = x
Answers
The coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
Image of R(-4, 3) after a reflection in the line y = x
The rule for the reflection over y = x is:
(x, y) = (y, x)
(-4, 3) = (3, -4)
Thus, the coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.
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what is the solution to this equation? 8(e)^2x+1=4
Answers
Answer:
Exact Form:
x=3/8e^2
Decimal Form:
x=0.05075073…
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is the inverse of the function f(x) = 4x + 8?
Answers
Answer: A. h(x) = 1/4x - 2
Step-by-step explanation:
f(x) = 4x + 8
find the inverse...
A.
[tex]h(x) = \frac{1}{4} x-2[/tex]
[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]
[tex]f(x)=x-8+8[/tex]
[tex]f(x)=x[/tex]
[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]
[tex]h(x)=x+2-2[/tex]
[tex]h(x)=x[/tex]
Since they both come out to 'x', they are inverses of each other.
f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses
Explanation: Interchange X and y
X=4y+8 swap the sides of the equation
4y+8=X Move the constant to the right-hand side and change its sign
4y=X-8 divide both sides
Answer: 1/4x-2
m∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Answers
Answer:
Option C:
m∠a = 38°m∠b = 52°m∠c = 90°Step-by-step explanation:
Hello!
The sum of all angles in a triangle is 180°.
Add up all the angles and solve for x by setting the equation to 180°.
Solve for x∠a + ∠b + ∠c = 180°(48 - x)° + (9x - 38)° + 90° = 180°10° + 8x + 90° = 180°8x = 180° - 90° - 10°8x = 80°x = 10°Now that we solved for x, we can plug it back into each equation to solve for each angle.
Angle A48° - x48° - 10°38°Angle B9x - 38°9(10°) - 38°90° - 38°52°Angle C90°The answer is Option C:
m∠a = 38°m∠b = 52°m∠c = 90°Which of the data sets below has a range of 18? Select all that apply.
A) 37, 34, 22, 28, 19, 25
B) 34, 22, 18, 19, 31, 33
C) 95, 79, 83, 88, 81, 99
D) 17, 26, 17, 18, 26, 31
E) 55, 43, 49, 61, 58, 54
Answers
Answer:
A) 37, 34, 22, 28, 19, 25
E) 55, 43, 49, 61, 58, 54
Step-by-step explanation:
The range of a set of data is the largest number minus the smallest number
A) 37, 34, 22, 28, 19, 25
37 - 19 =18
Range is 18
B) 34, 22, 18, 19, 31, 33
34 - 18 =16
Range is 16
C) 95, 79, 83, 88, 81, 99
95 - 81 =14
Range is 14
D) 17, 26, 17, 18, 26, 31
31-17 =14
Range is 14
E) 55, 43, 49, 61, 58, 54
61 - 43 =18
Range is 18
The quotient of a number p and 38
Answers
Answer:
[tex] \frac{p}{38} [/tex]
The required quotient of a number p and 38 is 38/p, as of the given condition
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
In the quesiton, we have to determine the quotient of a number p and 38.
So, divide 38 by p to determine the quotient.
= 38/p
Thus, the required quotient of a number p and 38 is 38/p.
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Kate used 555 grams of wool to knit a sweater, hat, and scarf. She used 5 times less grams for the hat than for the sweater. She used 5 more grams for the hat than for the scarf. How many grams of wool did she use to knit for each?
(Give explanation)
Answers
Answer:
Sweater: 392 [tex]\frac{6}{7}[/tex]
Hat: 78[tex]\frac{4}{7}[/tex]
Scarf: 83[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Set the sweater = x
The hat = [tex]\frac{1}{5}[/tex] x
The scarf = [tex]\frac{1}{5}[/tex] x + 5
x + [tex]\frac{1}{5}[/tex] x + [tex]\frac{1}{5}[/tex] x + 5 = 555
Combine like terms
1[tex]\frac{2}{5}[/tex] x + 5 = 555
Subtract 5 from both sides
1[tex]\frac{2}{5}[/tex] x = 550
Divide by 1[tex]\frac{2}{5}[/tex]
x = 392 [tex]\frac{6}{7}[/tex] This is how much wool was used for the sweater.
Divide by 5 to get the hat = 78 [tex]\frac{4}{7}[/tex]
Add 5 to that to get the scarf: 83[tex]\frac{4}{7}[/tex]
Answer all the questions. 1 The first three terms in a sequence of numbers, T1, T2, T3,... are given below: (a) T₁=1+3=4 T₂=4+5=9 T3=9+7=16 Find T4. Answer T4=
Answers
Answer:
16 + 9 = 25
Step-by-step explanation:
For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)
And that the first number of each term increases by the value of the second term
(1 increases by 3; 4 increases by 5)
we can follow out these two observations to find T4
the first term (9) will increase by the value of the second term (7)
{the sum of the previous term is the first number}
so the first number of T4 will be 16.
Because we left off on +7, we are now on +9
so, T4 is
16 + 9 {and then do the math accordingly}
16 + 9 = 25
So, T4 is
16 + 9 = 25
hope this helps!! have a lovely day!! :)
need help on this question
Answers
Answer:
3.5 and 3½
Step-by-step explanation:
Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
A. 1:1
B. 1:7
C. 1:8
D. 7:1
Answers
Answer:
a
Step-by-step explanation:
please help in this as well thank !!
Answers
Step-by-step explanation:
4a.
the circumference of a circle is
2×pi×r
we know, r = 6 cm.
so the whole circumference is
2×pi×6 = 12×pi = 37.69911184... cm
4b.
the arc BC is the part of the full circumference that corresponds to 120° out of the 360° of a full circle.
the arc BC is then
12×pi × 120/360 = 12×p × 1/3 = 4×pi = 12.56637061... cm
the perimeter of the shaded area (pie slice) is the arc BC plus 2 radius lengths (from the arc points to the center of the circle)
12.56637061... + 2×6 = 12.56637061... + 12 =
= 24.56637061... cm
4c.
the area of a circle is
pi×r²
in our case
pi×6² = 36pi = 113.0973355... cm²
the area of the shaded area (pie slice) is the 120° part of the full 360° circle area :
36pi × 120/360 = 36pi × 1/3 = 12pi = 37.69911184... cm²
What is the principal, if a person paid an amount of $432 after 1 year at 8% rate of interest per annum
Answers
Answer:
principal = $400
Step-by-step explanation:
amount(a)=principal(p) + interest(y).........(1)
Interest(y)=principal(p) x rate(r) x time(t)....(2)
In (1), p= a - y...........(3)
putting (3) in (2),
y = (a - y) x r% x t
y = (432 - y) x 8% x 1
y = 3456%-8y%
y + 0.08y = 3456%
1.08y = 34.56
y = 32
but a - y = p
432 - 32 = p
p = 400
principal = $400
what is the value of k such that x-2y=5 and 4x+ky=3 are perpendicular?
Answers
Answer:
k= -4/3
Step-by-step explanation:
Use the point-slope equation to identify the slope and the coordinates of a point on the line y - 4 = 7 (x-1). The slope of the line is A point on the line is
Answers
Answer:
slope is 7 and point on line is (1, 4 )
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
given line A has equation in point- slope form of
y - 4 = 7(x - 1) , then
slope of line is 7 and a point on the line is (1, 4 )
Two towns that are 32 km apart are 8 cm on a map. What is the scale of the map?
This question is urgent, I have grade 8 final exams tomorrow and I'm struggling with this type of question.
Answers
If two towns that are 32 km apart are 8 cm on a map. Then the scale factor will be 1 cm = 4 km.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Two towns that are 32 km apart are 8 cm on a map.
Then the scale factor will be
8 cm = 32 km
1 cm = 4 km
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[tex]10 ^{k - 2} = 100[/tex]
find the value of k
Answers
Answer:
k = 4
Explanation:
[tex]\sf 10^{k-2}=100[/tex]
make bases similar
[tex]\sf 10^{k-2}=10^2[/tex]
cancel out the bases
[tex]\sf k-2=2[/tex]
add '2' on both sides
[tex]\sf k-2+2=2+ 2[/tex]
simplify the following
[tex]\sf k =4[/tex]
Find the sum of the largest and the smallest of the following four numbers:
3.09 3.9 0.39 0.399
PLEASE HELP
Answers
Answer:
Using the concepts of Number System, we find that the sum of the largest and the smallest of the given four numbers is 4.29.
Step-by-step explanation:
The given set of numbers is 3.09, 3.9, 0.39 and 0.399.
The given numbers are related to each other as:
3.9 > 3.09 > 0.399 > 0.39
3.9 is greater than 3.09 as
3.9 > 3.09
3 + 0.9 > 3 + 0.09
0.9 > 0.09
90 > 9
0.399 is greater than 0.39 as
0.399 > 0.39
399 > 390
Now, the smallest number in the series is 0.39 and the largest number in the series is 3.9.
The sum of the largest and the smallest of the given four numbers is:
3.9 + 0.39
4.29
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HELP ME!!! FIND X AND Y. PLEASE GIVE ME AN EXPLANATION TO YOUR ANSWER AS WELL.
Answers
The linear equation will be 6x + y = 180 and 3x = y. Then the value of the variable x and y will be 20° and 60°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
3x° + 3x° + y° = 180° (Supplementary angle)
6x° + y° = 180° .....1
3x° = y° .....2 (Vertically opposite angle)
By solving equations 1 and 2, we have
x° = 20° and y° = 60°
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Which of the expressions are equivalent to the one below? Check all that
apply.
(14+4) 6
A. 14 (4+ 6)
B. (14+6) + 4
C. (4+6) (14+6)
D. (4+14) ÷ 6
Answers
Answer:
none of them match
Step-by-step explanation:
maybe something is typed wrong. the answer I got for the equation was 108 and none of them match
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answers
Answer:
The answer is option 3 and option 4
Step-by-step explanation:
f(z)=(1/3)
h(z) = z+4/z-2
evaluate (h•f)(0)
Answers
The value of the composite function (h•f)(0) is -2/3
How to solve the composite function?The functions are given as:
f(z)=(1/3)
h(z) = z+4/z-2
Start by calculating f(0) and h(0)
f(0) = 1/3
h(0) = (0+4)/(0-2)
h(0) = -2
The composite function is then calculated as:
(h•f)(0) = h(0) * f(0)
This gives
(h•f)(0) = -2 * 1/3
Evaluate
(h•f)(0) = -2/3
Hence, the value of the composite function (h•f)(0) is -2/3
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Kelly bought a pair of sneakers for $35.00. She also bought a pile of different laces. Each set of laces, l, costs $3.00. Write a variable expression to show how Kelly could calculate her total cost.
Answers
Answer:
35 + 3x
Step-by-step explanation:
we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$
we add that to the 35$ of the shoes and get:
35+3x
Select all equations that are equivalent to x² + 6x = 16.
A.
x² + 6x + 9 =0
B.
x² + 6x + 9 = 16
C.
x² + 6x + 9 = 25
D.
(x+3)² = 0
E.
(x + 3)² = 16
F.
(x+3)² = 25
Answers
Answer:
C and F
Step-by-step explanation:
2×2+6×2=16
×=2
C ) 2×2+6×2+9=25 ×=2
F) (2+3)2=25 ×=2
solve : y+3=10 solve the question
Answers
Y equals ten minus three
Answer:
y+3=10
solution,
y+3=10
y+3-3=10-3
y=7
thus,
y=7ans
answer it please!!!!
Answers
Answer:
the answer is B
Step-by-step explanation:
I used photo math it shows the correct answer
Answer:
2nd one (B)
Step-by-step explanation:
if f(x)=-3x-5 and g(x)=4x-2 find (f-g) (x)
Answers
If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.
The given functions are f(x)=-3x-5 and g(x)=4x-2.
We need to find the value of (f-g)(x)
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)
= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)
= -7x-3
Therefore, the value of (f-g) (x) is -7x-3.
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