Answer:
-4 ≤ x ≤ 6
Step-by-step explanation:
When we talk of the domain, we are referring to the possible x-values
from the diagram, we can see that we have the x-values at -4 and 6
The dotted line means that -4 and 6 are in the domain
Thus, the two points represent the end and starting point of the domain
Writing this in interval notation, we have the representation as;
-4 ≤ x ≤ 6
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
2. What is the slope of a line that contains the points (4, 2) and (5,9)
Answer:
m=7
__________________
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:
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
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.
4. The apples bought by Neetu was of weight 3 ¾ kg and the apples bought by Naren was of weight 2 ½ kg. Who bought more apples and by how much more did it weigh?
Answer:
5/4kg
Step-by-step explanation:
Given data
Weight of apples bought by Neetu= 3 ¾ kg
Weight of apples bought by Naren= 2 ½ kg
From the numbers/weights above, Neetu bought more apples
=3 ¾ kg to simple fraction
= 15/4 kg
=2 ½ kg kg to simple fraction
= 5/2 kg
The difference is
=15/4-5/2
=15-10/4
= 5/4kg
Hence Neetus Apples is 5/4kg morethan Narens Apples
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep. Which size refrigerator would be the BEST fit for the available space?
Answer: Answer D, 42,000 in
Step-by-step explanation:
ok no one cares lol lolololol
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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There are 37 empty seats and 13 occupied seats on a train. What percentage of the seats on the train are empty?
Answer:
92.5%
Step-by-step explanation:
I Need help on Understand Addition and Subtraction of Fractions Unit Test 4th Grade! Can yall give me the answers it has 10 Questions!
Answer:
Where is the test?
Step-by-step explanation:
"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
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
How do you know when a number is divisible by 6?
A. when the number in one's digit is even
B. when the number is divisible by 4
C. when the last three digits are divisible by 8
D. when the number is even AND is divisible by 3.
Answer:
the answer is D
Step-by-step explanation:
makes sense...
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.Devide. Reduce to lowest terms 3/8 1/7
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
Which linear inequality is represented by the graph?
Step-by-step explanation:
the linear inequality is how to measure value of a line through quality and quantity.
which ordered pair represents a point on the line y = 2x + 1
Answer:
(1, 3 )
Step-by-step explanation:
Choose any value of x, substitute into the equation for y
Choose x = 1 , then
y = 2(1) + 1 = 2 + 1 = 3
Then (1, 3 ) is an ordered pair on the line
How many 1-inch cubes are needed to create a rectangular prism that is 6 inches long, 2 inches wide and 3 inches high
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
A TV and Washing machine were purchased for Rs 15000 each. If together, they are sold at Rs 35000, What is Profit and Profit%
Given:
A TV and Washing machine were purchased for Rs 15000 each.
Together, they are sold at Rs 35000.
To find:
The profit and profit%.
Solution:
A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is
[tex]C.P.=15000+15000[/tex]
[tex]C.P.=30000[/tex]
Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.
Now,
[tex]Profit=S.P.-C.P.[/tex]
[tex]Profit=35000-30000[/tex]
[tex]Profit=5000[/tex]
And,
[tex]Profit\%=\dfrac{Profit}{C.P.}\times 100[/tex]
[tex]Profit\%=\dfrac{5000}{30000}\times 100[/tex]
[tex]Profit\%=\dfrac{50}{3}[/tex]
[tex]Profit\%\approx 16.67[/tex]
Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
98n^2-200 factoring special cases
Step-by-step explanation:
Factor 98n2−200
98n2−200
=2(7n+10)(7n−10)
Answer:
2(7n+10)(7n−10)
PLEASE HELP ME WITH THIS FOR BRAINLIEST
Answer:
I'm pretty sure its w=128
Step-by-step explanation:
so what i did was the inverse operation which the opposite of ÷4 is ×4 so 4 is already canceled out so then all you have left is 32×4 which is 128. Hope this helps
Work out
Root 6 x root 6 x root 6
The value of the expression √6 × √6 × √6 will be 6√6.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ √6 × √6 × √6
Simplify the equation, then the value of the expression will be
⇒ √6 × √6 × √6
⇒ (√6)³
⇒ 6√6
The value of the expression √6 × √6 × √6 will be 6√6.
More about the value of expression link is given below.
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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
The base of a regular pyramid is a hexagon.
What is the area of the base of the pyramid?
Enter your answer in the box. Express your answer in radical form.
Answer:
Step-by-step explanation:
For the single triangle
sin60=h/14, h=14sin60
cos60=b/(2(14)), b/2=14cos60 so the total area is nhb/2 where n is the number of sides
A=n(14sin60)(14cos60), since n=6
A=6(14sin60)(14cos60)
A=114.75cm^2
The hexagon is divided into 6 equal triangles. Then the area of the base of the pyramid is 509 square cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The base of a regular pyramid is a hexagon.
The hexagon is divided into 6 equal triangles. Then the height of the triangle will be
[tex]\rm a = 14 \sin 60^o\\\\a = 12.12[/tex]
Then the area of the triangle will be
[tex]\rm Area \ of \ triangle = 0.5 \times 14 \times 12.12\\\\Area \ of \ triangle = 84.84 \ cm^2[/tex]
Then the area of the base of the pyramid will be
[tex]\rm Area \ of \ base \ pyramid = 6 \times Area \ of \ triangle\\\\Area \ of \ base \ pyramid = 6 \times 84.84\\\\Area \ of \ base \ pyramid = 509.04 \approx 509 \ \ cm^2[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
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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
simplificar 55-56 entre 4×2+82×3
Answer:
Step-by-step explanation:
this awnser is 73 92 837
An hour before show time, only 105 people have arrived to the concert. According to the statistics, 95% of the people have yet to arrive. How many tickets were sold for the concert?
Answer: 2,100 tickets
Step-by-step explanation:
105 people have arrived for the concert yet it is said that 95% of people are yet to arrive. This means that the 105 people are 5% of the tickets sold.
Assume the total number of tickets sold is x:
5% * x = 105
0.05x = 105
x = 105 / 0.05
x = 2,100 tickets
Answer:
2100
Step-by-step explanation:
x= 2,100
5% x = 105
0.05x = 105
x = 105/0.05