Answer:
53 is the correct answer
Step-by-step explanation:
Your error is the first step
for x = 3
(3x)² = (3 * 3)² = 9² = 81
answer in detail & explain well plzz !!!
Step-by-step explanation:
my answer is in the image above
Find the value of p (x) = 4x^3 - 7x^2 - 5x + 43 if x= -3
Answer:
[tex]p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113[/tex]
Answer:
- 113
Step-by-step explanation:
Substitute x = - 3 into p(x) and evaluate , that is
p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43
= 4(- 27) - 7(9) + 15 + 43
= - 108 - 63 + 58
= - 171 + 58
= - 113
What’s the perimeter
Answer:
60 cm
Step-by-step explanation:
Perimeter = 2(12) + 2(18)
Perimeter = 2(30) = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
60cm
Step-by-step explanation:
(diagram with colors below)
The two red sides can be visualized as the same length as the length, so the two red segments add up to 18cm. The same thing can be said with the blue segments and the width. We can say the perimeter can be:
18 + 18 + 12 + 12 = 60cm
pl help me I will give u branist and also follow u and give u like plz help me
Answer:
Dividend
Step-by-step explanation:
Dividend is the profit earned from investing in stock
What is 9/12a = 1 ? Also what is 6/5b = 1 ? And Finaly what is 12c = 1 ?
Step-by-step explanation:
hope I understand your question
a = 9/12
b = 6/5
c = 1/12
please simplify the fractions by yourself
Which statement correctly compares the function shown on this graph with
the function y = 4x+ 2?
8
7
6
5
4
12
-5 -4 -3 -2 -1
1 2 3
4 5
-2
Answer:
B. The function shown on the graph has a smaller rate of change but a higher starting point
Step-by-step explanation:
Question options obtained from a similar question are;
A. The function shown on the graph has a greater rate of change and a higher starting point
B. The function shown on the graph has a smaller rate of change but a higher starting point
C. The function shown on the graph has a greater rate of change but a lower starting point
The function shown on the graph has a smaller rate of change but a higher starting point
Explanation;
The given function with which the graph is compared is y = 4·x + 2
From the given function, we have;
The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4
When y = 0, 4·x + 2 = 0,
∴ x = -2/4 = -0.5
The y-intercept is given when x = 0
∴ The y-intercept, y = 4 × 0 + 2 = 2
The starting point of the function, is (0, 2)
From the graph, we have;
The y-intercept = (0, 4)
Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)
The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)
The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3
Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4
When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.
Increase £854 by 89%
Give your answer rounded to 2 DP
Answer:
[tex]{ \tt{ = (100 + 89)\%}} \\ = { \tt{(189\% \times £854)}} \\ = £1614.06[/tex]
I understand the problem
Answer:
c.100
Step-by-step explanation:
first draw a figure of rhombus EFGH to avoid confusions
given
angle E= 3x+5
angle H= 4x
here,
E=G and H=F ( opposite angles of rhombus are equal)
now,
E+G+H+F= 360 ( sum of interior angles in a rhombus)
3x+5+3x+5+4x+4x= 360
x= 25°
we know that,
F= H
F= 4x
F= 4 × 25
F= 100
Analyze the diagram below and complete the statement that follows.
The perimeter of the square is
A. 42
B. 60
C. 110.25
D. 112.5
Answer:
A: 42
Step-by-step explanation: 10.5x4=42
Answer:
your answer is A 42
Step-by-step explanation:
make me brainliest
if bottled water costs 3.00 and a pack of 6 water's cost 4.50 which has the lower unit rate
Answer:
The pack of water has the lower unit rate.
Step-by-step explanation:
The unit rate per bottle for individual bottles is 3.00. The unit rate for the pack is 0.75 per bottle.
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
Prove or disprove that the vector V1=(1,2,3) v2=(1,1,1) and V3=(1,1,0) are linearly indepwndent in vector space R^2?
Answer:
The equations are linearly independent in vector space R²
Step-by-step explanation:
The given vectors are;
V₁ = (1, 2, 3), V₂ = (1, 1, 1), V₃ = (1, 1, 0)
For the vectors to be linearly dependent, we have;
a₁·V₁ + a₂·V₂ + a₃·V₃ = 0
Where;
a₁, a₂, and a₃ are not all zero
We get;
[tex]\left[\begin{array}{ccc}1&2&3\\1&1&1\\1&1&0\end{array} \right][/tex]
The vectors are linear dependent, if the following system of equation has a unique set of solution
x + y + z = 0...(1)
2·x + y + z = 0...(2)
3·x + y = 0...(3)
From equation (1), we have;
x = -(y + z)
∴ y + z = -x
Plugging in the value of y + z in equation (2) gives;
2·x + y + z = 0
2·x + y + z = 2·x - x = x = 0
x = 0
From equation (3), we get;
3·x + y = 0, where x = 0, therefore;
3 × 0 + y = 0
∴ y = 0
From equation (1), we have;
x + y + z = 0
Where, x = 0, and y = 0, we get;
0 + 0 + z = 0
z = 0
The vectors, V₁, V₂, and V₃ are linear independent in R³
In two dimensional space, we have
x + y = 0...(1)
2·x + y = 0...(2)
x + y = 0...(3)
Subtracting equation (1) from equation (2) gives;
2·x + y - (x + y) = 2·x - x + y - y = x = 0
∴ x = 0
From equation (1), we get
x + y = 0
∴ 0 + y = 0
∴ y = 0
Therefore, the equations are also linearly independent in vector space R²
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside of the bank.
Answer:
The equations
[tex]x + y = 80[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
The solution
55 dimes and 25 quarters
Step-by-step explanation:
Given
Let
[tex]x \to[/tex] quarters
[tex]y \to[/tex] dimes
[tex]Total = 80[/tex]
[tex]Worth = \$16.25[/tex]
Required
Set up a system of equation to calculate the number of each coin
The total coin of 80 implies that:
[tex]x + y = Total[/tex]
[tex]x + y = 80[/tex]
A dime = $0.1
A quarter = $0.25
So, the worth of the coin is:
[tex]0.25 * x + 0.1 * y = Worth[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
So, the equations are:
[tex]x + y = 80[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
Next, solve for x and y
Multiply the second equation by 4
[tex]0.25x + 0.1y = 16.25[/tex] by 4
[tex]x + 0.4y = 65[/tex]
Subtract from [tex]x + y = 80[/tex]
[tex]x- x + y - 0.4y = 80 - 65[/tex]
[tex]0.6y = 15[/tex]
Solve for y
[tex]y = 25[/tex]
We have:
[tex]x + y = 80[/tex]
[tex]x = 80 - y[/tex]
[tex]x = 80 - 25[/tex]
[tex]x = 55[/tex]
Hence, there are 55 dimes and 25 quarters
1. What is the value of the digit 7 in the number 176 354?
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
HELP ASAPPPP!!!!!!!
Find the y-intercept of the line y-7x= -3
Answer:
y - intercept = - 3
Step-by-step explanation:
The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.
Given :
y - 7x = - 3
y = 7x - 3 [ convert to standard line equation form ]
Therefore , y - intercept = - 3
Answer:
-3
This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.
State the amplitude and period of the sine function below
Answer:[tex]\color{iron}{}[/tex]
Amplitude:
[tex]\color{iron}{5π/4}[/tex]
Period:
[tex]\color{iron}{3.14 x (4)²}[/tex]
[tex]\color{iron}{3.14 x 16}[/tex]
[tex]\color{iron}{A=5.4π}[/tex]
A chair rental company charges $100 for delivery plus $3 per
chair. You want to order 200 chairs for a concert. How much
will it cost?
O a. $300
O b. $600
O c. $700
O d. None of the above
above
Answer: 700
Step-by-step explanation: 3 x 200 + 100
Answer:
c.$700
Step-by-step explanation:
3x+100 3 per chair=3x plus the additional 100 dollar fee
3(200)+100
600+100
700
Solve for b in the literal equation y = 12x + 12b.
b=
Answer:
[tex]b = \frac{y-12x}{12}[/tex]
Step-by-step explanation:
subtract 12x from both sides, then divide by twelve.
It takes 26 pounds of seed to completely plant a 3-acre field. How many pounds of seed are needed per acre?
Answer:
3.25 pounds per acre
Step-by-step explanation:
We want to find how much pounds of seed is need per acre. In division, with a numerator and denominator, this works perfectly, with how much we need (of seed) per acre translating into [tex]\frac{26 pounds}{3 acres}[/tex] , with the line representing the per. We can plug this into a calculator to get 3.25 pounds per acre, or [tex]\frac{3.25 pounds}{1 acre}[/tex]
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.
Answer:
A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.
Step-by-step explanation:
The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.
Please help me with this
Answer:
(x+3)² = 64
Step-by-step explanation:
(x+a)² = b
so, let's see the details of the square calculation :
x² + 2ax + a² = b
so, now we have in our problem the specific equation
x² +3x - 69 = -3x - 14
now, let's group and combine all expressions of x
x² + 6x - 69 = -14
compare to the general square equation.
x² is in both expressions. nothing else needs to be done for that part.
2ax must be equal to 6x.
=> 2a = 6
a = 3
so, our general swathe square equation turns then into
(x+3)² = b. or
x² + 6x + 3² = b
x² + 6x + 9 = b
now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :
x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)
x² + 6x + 9 = 64
=> b = 64
so, the form (x+a)²=b for our specific equation is
(x+3)² = 64
(x – 3) (x + 6) ayudaaaaaaaaaaa
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\sf\purple{Step-by-step\:explanation:}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
Use the Law of Sines. Find the indicated measure to the nearest tenth
In ADEF, mZF" - 43°, d - 16 mm, and f - 24rom. Find MZD.
a. 23.6
C. 27.0
b. 31.7
d. 19.50
here is the answer bae. Feel free to ask for more.
Points D, C, B, and A are collinear.
What is the slope of DC in simplest form?
Answer:
if DA line is lineer
Step-by-step explanation:
you can use small triangle.. it's slopes ⅕ slope of DC=⅕
A square has an area of 36 ft^2. What is the perimeter of the square? Show or explain your
answer.
Answer:
24 ft
Step-by-step explanation:
The area of a square is given by
A = s^2
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 = s
The perimeter of a square is
P = 4s
P = 4(6)
P = 24
Tiana has 8 purple daisies. In all, she counts 128 petals on all her flowers. If each flower has the same number of petals, how many petals are on one flower?
Answer:
the answer is 16 dividing 128 by 8 to get the petals in each flower.
Answer:
There are 16 petals per flower
Step-by-step explanation:
Take the number of petals and divide by the number of flowers
128/8
16
There are 16 petals per flower
I need help with these 4
Answer:
dude if they have a pattern they are a function figure it out from there
calculate the area of the shape
Answer:
which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!
Answer:
the formula for the rectangle is LxW or BxH (however your teacher taught it) which is just 4x15=60. The triangle is bxh÷2 which means 4x15=60 then 60÷2= 30. Add 30+60 which gives you Area=90formula for a circle πxr^2Building A is 480 feet tall and building B is 654 feet tall. If the angle of depression form the top of building b to the top of building a is 42 degrees, how far apart are the buildings?
Answer:
129.3 feets
Step-by-step explanation:
Using the solution diagram attached below :
The difference in height of the two buildings :
Building B - Building A = (654 - 480) = 174 feets
Using trigonometry :
Cosθ = opposite / Adjacent
Cos 42 = d / 174
d = 174 * Cos 42
d = 129.307
d = 129.3 feets
Let’s write the possible subsets of the following sets and list the proper subsets separately
(a)F={apple}
(b)A={1,2}
(c)E={a,b,c}
(d)T={1,2,3,4}
Step-by-step explanation:
(a) subsets are {apple}, { }
(b) subsets are {1}, {2}, {1,2}, { }
proper subsets are {1}, {2}
(c) subsets are
{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }
proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}
(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }
proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}