Given:
[tex]f(x)=2x[/tex]
[tex]g(x)=f(x)+4[/tex]
To find:
The y-intercept of g(x).
Solution:
We have,
[tex]g(x)=f(x)+4[/tex]
Putting [tex]f(x)=2x[/tex], we get
[tex]g(x)=2x+4[/tex]
Substitute x=0 to find the y-intercept of g(x).
[tex]g(0)=2(0)+4[/tex]
[tex]g(0)=0+4[/tex]
[tex]g(0)=4[/tex]
Therefore, the y-intercept of g(x) is at point (0,4). So, the y-intercept of g(x) is 4.
Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?
a) $140
b) $392
c) $112
d) $168
Answer:
c
Step-by-step explanation:
Last year, the average monthly revenue at stamford times newspaper was 35,700. So far this year, the average has been 29% more than last year. What is the average revenue.
Answer:
$46,053
Step-by-step explanation:
Convert 29% into a decimal, which is 0.29.Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.The school store has 2400 pencils in stock and sells an average of 20 pencils per day. The manager reorders when the the number of pencils in stock is 600.
Answer:
90 days until the next restock
Step-by-step explanation:
2400 - 600 = 1800
1800/20 = 90 days
why doesn't an elephant smoke?
Answer:
Because it can't
Step-by-step explanation:
Answer:
i dont know, y does it smoke?
Step-by-step explanation:
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a
Answer:
dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA
Answer:
Step-by-step explanation:
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answer:
49
Step-by-step explanation:
a number divided by 3 minus 5 is less than 10
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
What is the price of a can of soda if a case of 24 is 8.99
Answer:
Discount:
20% is .2 as a decimal, so you multiply the value of 12 by .2
12(.2)=2.4
The discount is $2.40
Sale Price:
subtract 2.4 from the price of the original price
12-2.4=9.6
The sale price is $9.60
Step-by-step explanation:
Answer:
Each can of soda will cost $0.37
Step-by-step explanation:
First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda
24/8.99 = 1/x
Then you cross multiply.
24*x 8.99*1
24x=8.99
Divide each side by 24
24x/24=8.99/24
x=0.374583
Round it to the nearest hundredths place.
x=0.37
Seven bottles of soft drink were put out onto the
table at a birthday party. How much soft drink
was left over after 5 2/9 bottles were consumed?
please help me due tomorrow
Answer:
I think the answer is 1 7/9
Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)
N (0, 0)
N (0, 3)
N (0, -3)
Answer:
The answer is N(0,-3)
Cora read one sixth of her book on day one. She read one fourth of her
book on day two. What fraction of her book did she read in two days?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{4}[/tex] = finding common denominator which is 12. so multiply both sides with what makes them 12 ...... [tex]\frac{1}{6}[/tex] [tex]\frac{2}{2}[/tex] & [tex]\frac{1}{4}[/tex][tex]\frac{3}{3}[/tex] then add = [tex]\frac{5}{12}[/tex]
Graph 2.4 on the number line. Please.
Answer:
It is the second line after 2. the number line goes up in 0.2
Step-by-step explanation:
Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch represents 3 feet of the actual wall. If the cost of the painting is $2.50 per square feet, find the total cost of paint needed for the entire wall.
Answer:
$90
Step-by-step explanation:
8 + 4 = 12
12 x 3 (3 feet for each inch) = 36
36 x 2.50 (cost per square foot) = $90
Answer:
$240
Step-by-step explanation:
8 x 4 is 32
32 x 3 is 96
96 x 2.5 is 240
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Learn more about the elementary row operation here:
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What was the total amount of water in the tank before it was drained
450 gallons
510 gallons
560 gallons
570 gallons
Total amount of water before it was drained will be 510 gallons.
What is rate?"It is a ratio in which the two terms being compared have different units."
For given question,
We have been given a table for the number of gallons of water left in the tank after being drained for two amounts of time.
First we find the rate at which the water was drained from the tank.
[tex]r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes[/tex]
Let the amount of water in the tank before it was drained = 'x' gallons
And the initial time = 0
Using the rate formula,
[tex]r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons[/tex]
Therefore, total amount of water before it was drained will be 510 gallons.
Learn more about rate here:
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Without using a calculator, order the following numbers from least to greatest.
9
8
(Square root sign)72
Triangle Theorem ( sss, sas, asa )
Answer:
A.) SSS
B.) HL
C.) SAS
3x+7=19 what is the value of x
Answer:
4
Step-by-step explanation:
because subtract 4+7 which is 11 from 19 which is 7 and 4x3 equals 9 so X is 3
The aspect ratio, the ratio of the width to the height, of various computer monitors is listed in the table below.
Answer: Monitor C is the different one.
Step-by-step explanation:
The aspect ratio is the relationship between width and height.
So we only need to see the quotients between width and height for each monitor and see which quotient is different.
Monitor A:
Quotient = 1152/864 = 1.333....
Monitor B:
Quotient = 800/600 = 1.333...
Monitor C:
Quotient = 1920/1080 = 1.777...
Monitor D:
Quotient = 1600/1200 = 1.333...
We can see that the one with a different aspect ratio is monitor C.
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
18 POINTS I need it ASAP !
Answer:
7 to the power of 3
7 3
Step-by-step explanation:
7 21/ (7 6) 3
7 21/ 7 18
Cross it out and answer is 7 3
Answer:
343
Step-by-step explanation:
[tex]\frac{7^{12} * 7^{9}}{(7^{6})^{3} }[/tex] is the equation.
1. You can add the two exponents in the numerator --> [tex]7^{21}[/tex]
2. You can multiply the exponents in the denominator --> [tex]7^{18}[/tex]
(the equation is now [tex]\frac{7^{21} }{7^{18} }[/tex])
3. Subtract the exponents to get [tex]7^{3}[/tex]
[tex]7^{3}[/tex] = 343
Find x
16 ft
х
12 ft
Answer:
x = 20
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
x = [tex]\sqrt{400}[/tex] = 20
1). What must you do in order to solve the equation?
15 = m - 5
Answer:
20
Step-by-step explanation:
15 + 5= 20
Answer:
carry across the-5
minus turns into a +
looks like this
+5+15=m
Eva and Jimmy share and amount of money in the ratio of 8:5 Eva gets 21 more than Jenny. How much do they get each
Answer:
Eva:$56
Jimmy/Jenny:$35
Step-by-step explanation:
diff->8-5=3
3u->$21
1u->$21÷3=$7
Eva->$7×8=$56
Jimmy/Jenny->$7×5=$35
On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.
Answer: $343849
Step-by-step explanation:
Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:
= 77 million / 1.42
= $54.225 million
Therefore, the value in U.S. Dollars per pound for the heroin will be:
= $54.225 million / 157.7
= $343849 pee pound
"complete the function table. use the given input (x) values and determine the corresponding output (y) values based on the given function. if no inputs or outputs are given --- provide your own."
Answer:
-4, 6, 16, 26
Step-by-step explanation:
For each y-value, all you need to do is put x into the function or equation wherever there is an x, and the result will be the y-value.
When x = 0; y = 2(0)-4, or y = -4.
When x = 5; y = 2(5)-4 = 10-4 = 6
When x = 10; y = 2(10)-4 = 20-4 = 16
When x = 15; y = 2(15)-4 = 30-4 = 26
PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?
A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb
Answer:
D. 2.69 lb is your answer
13vases=34.97lb
1 vase=34.97/13=2.69lb
What is the area of the parallelogram?
80 cm 2
40 cm 2
29 cm
58 cm 2
Answer:
80cm²
Step-by-step explanation:
Area of parallelogram =base×height
B=16cm
H=5
Area=16×5
80cm²
Hope this helps you :)
Step-by-step explanation:
area= b×h
area= 16cm × 5cm
area= 80 cm²