Answer:
The first option
Step-by-step explanation:
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and size.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
From the graph, we see that,
The coordinates in the line g(x) are (5, 100) and (4, 10).
Now,
g(x) = [tex]10^{x - 3[/tex] ______(1)
Substituting (5, 100) and (4, 10) in (1)
We get,
g(5) = [tex]10^{5 - 3[/tex] = 100
g(4) = [tex]10^{4 - 3[/tex] = 10
This is true.
Thus,
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
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In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains of copper. How many grams of zinc does it contain?
Answer:
4 grams of zinc
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
find the value of sin 0 in each of the following figures.
Answer:
sinθ = [tex]\frac{8}{10}[/tex]
Step-by-step explanation:
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{10}[/tex]
Answer:
sin theta=p/h
=BC/AC
=8cm/10cm
=4cm/5cm
Hope it helps you.
I really need help please!
Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.
Answer:
Riko is wrong because she uses the wrong formula.
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
This shows that Riko is wrong because she uses the wrong formula.
Answer:
No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
How would you use distrubutive property for the eqaution 3(x+y)
ANSWER FAST PLSSSSS WORTH 50 BRAINLY POINTS
Answer:
3(x+y)
=3x+3y
Here he have to multiply 3 with x and y.
Answer:
please mark me brainliest and follow me my friend.
Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. For how many years did he save this money?
Answer:
7 years.
Step-by-step explanation:
To find this, we need to find 2% of 2,000. To do this, we mulitply 2,000 by .02. This gets us 40. Now, we need to divide 280 by 40 to find the amount of years it took for Mike to get this money. When we do that, it gets us 7. That means Mike saved that money for 7 years.
The number of years that he saves this money will be 7 years.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. Then the number of years is calculated as,
$280 = ($2,000 x 2 x T) / 100
$28,000 = $4,000 x T
T = $28,000 / $4,000
T = 7 years
The number of years that he saves this money will be 7 years.
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A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?
Answer:
If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000
Step-by-step explanation:
Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.
Hope this helps :)
solve equation
x^2+6x+1=0
give your answer to 2 decimal places
Step-by-step explanation:
x² + 6x + 1 = 0
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given quadratic equation,
x² + 6x + 1 = 0
Make the whole square as
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".
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Someone please help me with this question
It would be in the order it is
solve for x it is a parallelogram
pls help
Answer:
x = 5
Step-by-step explanation:I hope that this answer will help youAnswer:
[tex]3x + 2 = 17 \\ 3x = 15 \\ \boxed{x = 5}[/tex]
5 is the right answer.-2x - 2y =-10 and 9x + 7y = 49
Answer:
I think it is 49
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
maria pays 15.20 for 5.3 pounds of candy what is the price per pound of candy
Answer:
$2.90 per pound
Step-by-step explanation:
You must divide the total from the amount bought.
15.20/5.3 = 2.8679245283
Next, you round the number by the first 2 decimals.
2.86 = 2.90 - The answer
Check if you need to make sure the answer is correct
Which of the following situations can be described by the equation 2x – 4 = 10?
Step-by-step explanation:
Add 44 to both sides.
2x=10+4
2x=10+4
2 Simplify 10+410+4 to 1414.
2x=14
2x=14
3 Divide both sides by 22.
x=\frac{14}{2}
x=
2
14
4 Simplify \frac{14}{2}
2
14
to 77.
x=7
x=7
Done
Bethany can mow her lamily's lawn in 4 hours. Her brother coin can mow the lawn into hoursWhich equation can ve
used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.
“Fork,” the sailor said – and showed them they should use it to eat the rice.
The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”
Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.
Answer:
c. goemon does not trust his rescuers.
Step-by-step explanation:
goemon said it might be poison.
he was cautious about eating the food.
Dale buys candy that costs $8 per pound. He will buy at least 7 pounds of candy. What are the possible amounts he will spend
on candy?
Use c for the amount (in dollars) Dale will spend on candy,
Write your answer as an inequality solved for c.
Answer:
66
Step-by-step explanation:
The library has 65400 art books and 9600 science books. What part of all the books are science books
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
9600
75000 =16/125
The part of all the books that are science books is 0.128 or 16/125.
Using this formula
Science books=Science books(Art books+Science books)
Where:
Science books=9600
Art books=65400
Let plug in the formula
Science books=9600/(65400+9600)
Science books=9600/75000
Science books=0.128 or 16/125
Inconclusion the part of all the books that are science books is 0.128 or 16/125.
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Translate each phrase into an algebraic inequality:
Fiona works part time for a legal firm. She can work a maximum of 30 hours
per week.
Let hours = x
She can work a maximum of 30 hours so x can be any number from 30 or below.
The inequality would be: X <= 30
Answer:
Let the maximum time be x
She can work 30 hrs or below ( maximum of 30 hrs)
Therefore, the equation is
[tex] \huge \boxed{x \leqslant 30 \: hours}[/tex]
A watch was on sale for 70% off. The sale price is $60. What was the original price?
Answer:
78 dollars
Step-by-step explanation:
Please answer 5 x (1/25)
Answer:
5/25 or simplified 1/5
Step-by-step explanation:
Answer:0.2
Step-by-step explanation:
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
I need help fast thank you!!
Answer: hypotenuse is 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
if 72 is 40% what is 100%?
Answer:
180
Step-by-step explanation:
If 40% = 72, 100% can be found like so:
40% = 72
100% = [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]
You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)
So now we have:
[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]Divide, and you get 180.
To check, we can find 40% of 180.
(I looked it up)
Hope this helps!
Can someone help me please
Answer:
0.19 50% 15/20 9/10 95%
Step-by-step explanation:
I know
what is the soulution to the equation 13 3/4+x=7 1/4
Step-by-step explanation:
[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]
[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]
[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]
[tex]x = - \frac{13}{2} [/tex]
Find the product.
(1.2) x (0.11)
Answer:
0.132
Step-by-step explanation:
1.2 * 0.11 = 0.132
Answer:
.132
Step-by-step explanation:
So take away the decimal on both for a second and then multiply then on the answer move the decimal over 3 times there is your answer
A $40,000 car depreciates in value about 18% per year for the life of the car. Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
Answer:
Value after:
7 years = $9971.42
8 years = $8176.56
9 years = $6704.78
Rate of decay = 18%
Step-by-step explanation:
A $40,000 car depreciates in value about 18% per year for the life of the car.
Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
The formula for Depreciation is
FV = PV( 1 - r)^t
Where
FV = Future value
PV = Present value = $40,000
r = Depreciation rate = 18% = 0.18
t = time in years
a) After 7 years
$40,000 (1 - 0.18)⁷
= $9971.4188227
= $9971.42
b) After 8 years
$40,000 (1 - 0.18)⁸
= $8176.5634346
= $8176.56
c) After 9 years
$40,000 (1 - 0.18)⁹
= $6704.7820164
≈ $6704.78
= $9971.42
The Rate of decay = 18%
can you. pls. solve for X?
Answer:
x = 173
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
90+30=120
180-120=60
x+67=60
x=-7
Quantity of Notebooks Cost
5/$6.00
6/$5.82
7/$6.44
8/$6.80
9/$8.01
The table shows the cost for different quantities of notebooks offered online. Which is the BEST VALUE?
A) 5 notebooks
B) 6 notebooks
C) 7 notebooks
D) 8 notebooks
Answer: I think it might be A but then again I am only in 6th grade so, whatever!
Step-by-step explanation:
Match the equation with the graph.
→
Graph E
Graph F
Graph G
Graph H
Answer:
Graph E: Y= -1/3x +3
Grpah F: Y= 1/2x
Graph G: Y= x-3
Graph H: Y= -x
Step-by-step explanation: