The fourth graph represents the function [tex]f(x)=\frac{3}{2} 2^{x}[/tex]
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is [tex]y=\frac{3}{2} 2^{x}[/tex]
It is an exponential function and 2>1, therefore it is an increasing in nature.
put x=0 in the given function to find the y-intercept of the graph.
f(0)=3/2.2⁰
f(0)=3/2(1)
f(0)=3/2=1.5
So, the y-intercept is 1.5.
In figure 1 and figure 1 the y-intercept is 1, in figure 2 the y-intercept is 2 , therefore first three options are incorrect.
In figure 4 the y-intercept is 1.5, therefore the option 4 is correct.
Hence, the fourth graph represents the function [tex]f(x)=\frac{3}{2} 2^{x}[/tex]
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1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
MRS SMITH BOUGHT 3 YARDS OF RIBBON FOR 5.25. HOW MUCH WOULD 5 YARDS OF THE SAME RIBBON COST?
PLZ HURRY!
I need help please, I will give brainliest to the first person that answers
Answer:
The answer is a.
Step-by-step explanation:
................................
Evaluate the expression.
−(1/9)3
Answer:
- 1/729
Step-by-step explanation:
math
2y to the power of 4 x 5y to the power of 3
Answer:
(2•5y to the 7th power)
Step-by-step explanation:
Step 1: (2y to the 4th power • 5) • y to the 3rd power
Step 2: (2•5y to the 4th power) • y to the 3rd power
Step 3: 3.1 y to the 4th power multiplied by y to the 3rd power = y to the (4 + 3) power = y to the 7th power
Final answer: (2•5y to the 7th power)
The expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
What is Multiplying Exponents?When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.
What is multiplication of exponents with same base and different power?When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
According to the question
[tex]2y^{4} * 5y^{3}[/tex]
Now,
Using the multiplying exponent rule :
the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
Therefore,
As, base y is common in both the terms
= 10[tex]y^{4+3}[/tex]
= 10[tex]y^{7}[/tex]
Hence, the expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
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Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
image down below if it is correct i will give brainliest
Answer:
it would be 17 im positive
Step-by-step explanation:
.
Answer: A) 8
Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest
Sixth grade
R.
Are the ratios 5:10 and 2:4 equivalent?
Yes, 5:10 and 2:4 are equivalent.
5:10 (simplified) = 1:2
2:4 (simplified) = 1:2
Hope this helps; have a great day!
Answer:
Yes
Step-by-step explanation:
5:10 is equivalent to 2:4
Both can be simplified to 1:2
What type of function can be used to model the scenario?
Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.
Linear
Exponential
Quadratic
2. What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Linear
Exponential
Quadratic
Answer:
1. Exponential
2. Linear
Step-by-step explanation:
1. Exponential
Principal = 15000
Rate, r = 6.5% compounded annually
A = P(1 + r)^t
A = 15000(1 + 0.065)^t
A = 15000(1.065)^t
2. Linear
Let initial amount in bank = x
Amount added per week = 2
Number of weeks or period = t
A = x + 2t
Learn with an example
If a town with a population of 1,000 doubles in size every 7 years, what will the population be
14 years from now?
people
Submit
Find the value of the variable A. 48 B. 180 C. 139 D. 39
Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. ∠ measures 27.42° and the measure of DE is 73.18°. Determine the measure of BC.
Answer:
BC = 18.34°
Step-by-step explanation:
Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)
Thus:
m<BAC = ½(DE - BC)
27.42° = ½(73.18 - BC) => Substitution
Multiply both sides by 2
2*27.42 = 73.18 - BC
54.84 = 73.18 - BC
BC = 73.18 - 54.84
BC = 18.34°
Omg guys I need help with this question I've failed the test like 4 time because of this question and I give up. Can someone please help me with this?
Answer:
D. 270
Step-by-step explanation:
With the information given you can work your way around the table to fill in the blanks
300-120=180 Red-footed one-headed
180+200=380 total red-footed
650-380=270 total black-footed (answer)
270-120=150 black-footed two-headed
150+200=350 two-headed
Answer:
270
Step-by-step explanation:
300-120=180,to get one headed red footed
650-300=350, total two headed.
350-200=150, to get two headed black footed.
150+120=270, total black footed mizjigs
answer and explain pleaseee
Answer:
37³×51¹² is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)
Answer:
(-4, -5)
Step-by-step explanation:
25+2(3 x 4) - 7=???
Show ur works please
Answer:
42
Step-by-step explanation:
25+2(12)-7
25 + 24 - 7
49 - 7
42
[tex] \huge \color{Red} Answer: [/tex]
[tex]25 + 2(3 \times 4 ) - 7 = [/tex]
[tex]25 + 2 \times 12 - 7 = [/tex]
[tex]25 + 24 - 7 = [/tex]
[tex]49 - 7 = 42[/tex]
[tex] \huge \color{Blue} Explaination: [/tex]
First, Multiply the numbers inside the parentheses.
Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.
Third, Follow the left to right rule so add 25 and 24.
Lastly, Subtract the last number.
[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]
Follow left to right rule. Also the PEMDAS rule like:If you see a Parentheses do them first then Exponent next Multiplication and so forth.
[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]
P - ParenthesisE - ExponentM - MultiplicationD - DivisionA - AdditionS - SubtractionIf x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.
Answer:
If the variable Y being 5.5 it's because she was divisible by two. So if I divise X by 2 the reply is 0.5. So at least if y is 5.5, x is 0.5.
Step-by-step explanation:
Which is the most efficient way to solve this equation 8m=48
Answer:
by transposing method
m=48/8
m=6
Answer:
M=six
Step-by-step explanation:
because 48 divided by 8 is six so the answer is six
You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?
Answer:
Step-by-step explanation:
Plug in the giving information, P = 4000, r = 0.06, n = 4,
and t = 5.
Use the order or operations to simplify the problem. If the
problem has decimals, keep as many decimals as possible
until the final step.
FV = 5387.42 Round your final answer to two decimals places.
Chris is using the expression
m/8n
What is the value of the expression when m=4 and n=1/2
Answer:
1
Step-by-step explanation:
We plug in 4 for m and 1/2 for n.
[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1
Hope this helped!
hiii help me please please pleasee
Answer:
a; d = 20n
Step-by-step explanation:
you can use the process of elimination and an example problem to help!
so if mason mowed 2 lawns, he'd make $40, right? now you could try each equation to see which one equals $40
a. d = 20(2) ⇒ d = 40
b. n = 20d ⇒ 2 = 20d ⇒ d = 0.1
c. d = 20 ÷ n ⇒ d = 10
d. n = 20 + d ⇒ 2 = 20 + d ⇒ d = -18
therefore, your answer would be A!
Please help, I’ll mark you as brainliest!!!!!
Answer:c
Step-by-step explanation:
factorise the following
[tex] \frac{ {e}^{2} }{25} - \frac{ {f}^{2} }{36} [/tex]
Answer:
A pastry shop has fixed costs of
$
280
per week and variable costs of
$
9
per box of pastries. The shop’s costs per week in terms of
x
,
the number of boxes made, is
280
+
9
x
.
We can divide the costs per week by the number of boxes made to determine the cost per box of pastries.
280
+
9
x
x
Notice that the result is a polynomial expression divided by a second polynomial expression. In this section, we will explore quotients of polynomial expressions.
Simplifying Rational Expressions
The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown.
x
2
+
8
x
+
16
x
2
+
11
x
+
28
We can factor the numerator and denominator to rewrite the expression.
(
x
+
4
)
2
(
x
+
4
)
(
x
+
7
)
Then we can simplify that expression by canceling the common factor
(
x
+
4
)
.
x
+
4
x
+
7
Answer:
Step-by-step explanation:
Use the identity : a² - b² = (a + b )(a - b)
25 and 36 should be written in the form raised to power 2
25 = 5 * 5 = 5²
36 = 6 * 6 = 6²
[tex]\frac{e^{2}}{25}-\frac{f^{2}}{36}=\frac{e^{2}}{5^{2}}-\frac{f^{2}}{6^{2}}\\\\=(\frac{e}{5})^{2}-(\frac{f}{6})^{2}\\\\=(\frac{e}{5}+\frac{f}{6})(\frac{e}{5}-\frac{f}{6})[/tex]
1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880
Answer:
A) $840
Step-by-step explanation:
15•40 gives us how much money he makes a week normally
divide the result, 600, by 5 to find out how much he makes a day normally which is $120
now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days
so he makes $120 normally and $240 on holiday
120•3= 360
240•2= 480
then add
360+ 480= $840
hope this helps <3
plz help me check if its right its kinda hard :(
Answer:
It is correct actually.
Step-by-step explanation:
141 + 39 = 180
Yeah, that's correct
Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.
Find the value of the expression 10x/y - x when x =4 and y =8
Step-by-step explanation:
step 1. 10x/y - x when x = 4, y = 8
step 2. 10(4)/8 - 4
step 3. 40/8- 4
step 4. 5 - 4
step 5. answer: 1
Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie
Answer: 49π inches²
Step-by-step explanation:
The formula for the circumference of a circle = 2πr
Since the circumference is 14π, we have to find the radius in order to solve the area.
2πr = 14π
r = 14π/2π
r = 7
Since area = πr²
= π × 7 × 7
= 49π inches²
Acellus
Find the indicated side of the
triangle.
b
a
30°
12
12
[?]
a
Enter
Answer:
a = [tex]\frac{12}{\sqrt{3} }[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
a × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )
a = [tex]\frac{12}{\sqrt{3} }[/tex]
"the difference of p and 4."
Answer:
p - 4 = ?
Step-by-step explanation:
Difference also mean subtraction, so that means you are required to subtract the variable p and 4.
can someone plz help asap question is in pic (its about graphs)
Answer:
-4,0 and 6.
Step-by-step explanation:
f(x) = 0 is when y = 0.
If you look at the graph, there are 3 instances when y = 0
and it happens when x = -4, x = 0 and x = 6.
Therefore, the solutions of f(x) when y =0 are -4,0 and 6.