Step-by-step explanation:
Distance to school = (6km/h)(1/3h) = 2km
2km in 15 minutes = 8km in 60 minutes.
Hence his speed should be 8km/h.
what is the inverse function for y=2/5x-1
1.2 + 0.8-4-3(0.7 -0.81)
evaluate the expression
Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its image?
Please show all work and not just the answers.
Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
__
Additional comment
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
90° CCW or 270° CW: (x, y) ⇒ (-y, x)90° CW or 270° CCW: (x, y) ⇒ (y, -x)180°: (x, y) ⇒ (-x, -y)-8(x - 7)
(Distributive property)
Answer:
-8x+56
Step-by-step explanation:
we have to multiply 8 by x and -7
-8 times x is -8x. However -8 times -7 is POSTIVE 56
Answer:
So the answer to this problem would be -8x+56
Step-by-step explanation:
The reason for this is -8 multiply by x and multiply by -7 so if you multiply -7 and -8 together u will get 56 and -8 multiplied with x is = -8x
Hope that helps
Write an expression that represents each statement.
The total cost of my cell-phone bill for the 1st month, if lam charged a standard
of $50 plus.50 cents for each channel that I have in my package.
Can someone tell me how to do this?
Answer:
For #21, x = 35, y = 85
Step-by-step explanation:
For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.
We can see that there are two lines, and we are given 2 values to find with 3 possible equations.
[1] ( 2x + 25 ) + y = 180
[2] y + ( 3x - 10 ) = 180
[3] 2x + 25 = 3x - 10
Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.
2x + 25 = 3x - 10
2x + -2x + 25 + 10 = 3x + -2x + -10 + 10
35 = x
Now plug in the value of x to find y:
( 2x + 25 ) + y = 180
( 2(35) + 25 ) + y = 180
( 70 + 25 ) + y = 180
95 + y = 180
y = 85
We can check these values by plugging into the 2nd equation
x = 35 ; y = 85
y + ( 3x - 10 ) = 180
(85) + (3(35) - 10) = 180
85 + ( 105 - 10) = 180
85 + 95 = 180
180 = 180
Thus, we have validated our results and found the values of x and y.
Cheers.
If f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (f o g) (x)?
Answer:
Step-by-step explanation:
Round each mixed number to the nearest whole number. Then, estimate the quotient
[tex]24 \frac{16}{17} \div 4 \frac{8}{9} [/tex]
Answer:
Quotient = 5
Step-by-step explanation:
Step 1
Round each mixed number to the nearest whole number
a) 24 16/17 = 424/17
= 24.941176471
Approximately to the nearest whole number ≈ 25
b) 4 8/9 = 44/9
= 4.8888888889
Approximately to the nearest whole number ≈ 5
Next step we estimate the quotient
Quotient = Dividend ÷ Divisor
Dividend = 25
Divisor = 5
Quotient = 25 ÷ 5
= 5
Therefore, the quotient is 5
someone please help me
solve the system of equations using matrices and a calculator.
3x - 4y + 5z = -10
2x - y -2z = 12
x + y - z =15
(x, y, z) = (59/8, 6, -13/8)
Answer:
x = 59 / 8
y = 6
z = -13 / 8
Step-by-step explanation:
For this problem, you simply need to set up the augmented matrix for you to enter into the calculator. Once entered into the calculator, you will be given the values for x, y, and z. Here is the augmented matrix:
3x - 4y + 5z = -10
2x - y - 2z = 12
x + y - z = 15
3 -4 5 | -10
2 -1 -2 | 12
1 1 -1 | 15
Input this augmented matrix into the calculator and you will get these values for x, y, and z:
x = 59 / 8
y = 6
z = -13 / 8
Cheers.
Find a polynomial F(x) of degree 3 with real coefficients and the following zeros. 4,1-i help fast please?
Answer:
f(x) = x³ - 6x² + 10x - 8
Step-by-step explanation:
Complex zeros occur as conjugate pairs, thus
Given x = 1 - i is a zero then x = 1 + i is also a zero
Given the zeros are
x = 4, x = 1 - i, x = 1 + i then the corresponding factors are
(x - 4), (x - (1 - i) ), (x - (1 + i ) ), that is
(x + 4), ( x - 1 + i), (x - 1 - i)
f(x) is then the product of the factors, that is
f(x) = (x - 4)((x - 1) + i)((x - 1) - i ) ← distribute the complex factors
= (x - 4)((x - 1)² - i² ) → i² = - 1
= (x - 4)(x² - 2x + 1 + 1)
= (x - 4)(x² - 2x + 2) ← distribute
= x³ - 2x² + 2x - 4x² + 8x - 8 ← collect like term
f(x) = x³ - 6x² + 10x - 8
The required polynomial is f(x) = x³ - 6x² + 10x - 8 which has a degree is 3 with real coefficients.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.
The required polynomial F(x) of degree 3 with real coefficients and the following zeros. 4, 1-i
This means i.e.
x = 4, x = 1 - i, and x = 1 + i
As per the fundamental of algebra, the corresponding factors are (x - 4), (x - (1 - i) ), (x - (1 + i ) ),
The factors are (x + 4), ( x - 1 + i), and (x - 1 - i)
If the above corresponding factors are multiplied then we can find f(x)
f(x) = (x - 4)((x - 1) + i)((x - 1) - i )
f(x) = (x - 4)((x - 1)² - i² ) → i² = - 1
f(x) = (x - 4)(x² - 2x + 1 + 1)
f(x) = (x - 4)(x² - 2x + 2)
f(x) = x³ - 2x² + 2x - 4x² + 8x - 8
f(x) = x³ - 6x² + 10x - 8
Thus, the required polynomial is f(x) = x³ - 6x² + 10x - 8.
Learn more about the polynomial here:
brainly.com/question/11536910
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1 3/4 change to improper fraction
Answer:
7/4
Step-by-step explanation:
1x3+3/4
then will get you to
4+3/4
and the solution is
7/4
+please help i dont know how to solve this
Answer:
thee answer is 3375ft
Step-by-step explanation:
Volume =length x width x height
V = 15ft x 15ft x 15ft
=3375 ft
can I please get brainly
evaluate the expression. 5^2. what is the value of the expression?
Answer:
25
Step-by-step explanation:
Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.
Add: 7/8 + 5/6 .......
Answer:
1 17/24
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
41/24
Decimal Form:
1.7083
Mixed Number Form:
1 17/24
Answer:
1 13/16
Step-by-step explanation:
7/8 x 6/6 = 42/48
5/6 x 8/8 = 45/48
45/48 + 42/48 = 87/ 48
87/48 = 1 39/48
1 39/48 = 1 13 /16
Hopefully this helps you :)
pls mark brainlest ;)
7.75 divided by 0.25 and 0.00942 divide by 0.314 pls iwant the answers and with the EXPLANATION
Answer:
7,75 chia cho 0,25 và 0,00942 chia cho 0,314=10480.47926
Step-by-step explanation:
explanation is arithmetic
What number is ten times greater than 10?
Answer:
100
Step-by-step explanation:
Multiply 10 by 10
find AC A.6 B.12 C.16 D.10
Answer:
d
Step-by-step explanation:
add the dashes up =10
Answer:
10
Step-by-step explanation:
AC is the difference between the position of A and C, that is
AC = | - 8 - 2 | = | - 10 | = 10 or
AC = | 2 - (- 8) | = | 2 + 8 | = | 10 | = 10
r is in the middle of pqs btw
Answer:
46
Step-by-step explanation:
5x = 3x - 2 + 34
5x = 3x + 32
2x = 32
x = 16
plug back in
3( 16 ) - 2
48 - 2
46
Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest tenth, what is the total length of Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest tenth, what is the total length of wood Mr.drew needs to make the sides of the sandbox
Answer:
26 ft.2
Step-by-step explanation
Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.
Hope this helps. :)
the ratio of picnic tables to garbage cans in a new national park should be 5:2. the park design shows plans for 30 picnic tables in a small campground and 110 picnic tables in a large camp ground how many garbage cans should there be in each campground
Answer:
Small campground = 12 garbage cans
Large campground = 44 garbage cans
Step-by-step explanation:
Picnic tables : garbage cans
= 5 : 2
Small campground = Picnic tables : garbage cans
= 30 : x
5 : 2 = 30 : x
5/2 = 30/x
Cross product
5 * x = 2 * 30
5x = 60
x = 60/5
= 12
5 : 2 = 30 : 12
large camp ground = Picnic tables : garbage cans
5 : 2 = 110 : x
5/2 = 110/x
Cross product
5 * x = 2 * 110
5x = 220
x = 220/5
= 44
5 : 2 = 110 : 44
Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground
-3(2x - 7) + 4x = 15
solve for c
Answer:
x=3
Step-by-step explanation:
-6x+21+4x=15
-2x+21=15
-2x=15-21
-2x=-6/2
x=3
4. Mr. Y invested $2,000 in two accounts. One pays 7%
annual interest; one 5%. At the end of 1 year, Mr. Y
earned $155 in interest. How much had Mr. Y invested
in the account paying 7%?
Answer:
He invested approximately $2,215
Step-by-step explanation:
Mr Y invested $2000 in two accounts.
One pays 7%, and the other pays 5%.
At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.
Let the amount he invested be X, then
7% of X = 155
(7/100)X = 155
0.07X = 155
X = 155/0.07
= 2,215
He invested approximately $2,215
Pls solve this for me
Answer:
D -3/2
Step-by-step explanation:
The solutions are x = -3 and x = 3/2, however, you can solve this as well by looking at part of the quadratic formula:
[tex]x_1+x_2 = \frac{-b + \sqrt{b^2-4ac}}{2a} + \frac{-b - \sqrt{b^2-4ac}}{2a} = \frac{-b}{a}[/tex]
the formula implodes when you add the roots!
Calculate the curved surface area of cylinder of radius 14cm and of height 9cm.
Answer:
the curved area would be 396cm^2
Express 18.348 in the form p/q where p and q are integers, q≠ 0
Answer:
[tex]\frac{18348}{1000}[/tex]
Step-by-step explanation:
The 8 in the decimal part 0.348 is in the thousandths position, thus
18.348
= 18 [tex]\frac{348}{1000}[/tex]
= [tex]\frac{18(1000)+348}{1000}[/tex]
= [tex]\frac{18348}{1000}[/tex]
Is 8/10 equal to 6/5
find the number whose 5 by 7 is 125
Answer:
175 is the correct answer
Step-by-step explanation:
175*5/7=125
the sum of a number x and 10
Answer:
x + 10
Step-by-step explanation:
x and 10 are not the same
The sum of the numbers x and 10 is ( x + 10 ).
What is summation?The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-
Sum = x + 10
Hence, the sum is ( x + 10 ).
To know more about summation follow
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we have 4 1/2 cups of chocolate chips. a batch of our madison cookies requires 3/4 cup of chocolate chips. how many batches can we make?
Answer:
You can make 6 batches of cookies.
Step-by-step explanation:
3/4 + 3/4 = 1 1/2 (2)
1 1/2 + 1 1/2 = 3 (4)
3 + 1 1/2 = 4 1/2 (6)
Answer:
6 batches
Step-by-step explanation:
4 1/2 divided by 3/4
is 6
4 1/2 / 3/4 = 6
so you can make six
is how many batches
you can make.
(i checked my answer with a calculator)