Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here
Answer:
3:15 hours
Step-by-step explanation:
i don't know I just took the test
Answer:
4.75 or 4 3/4
Step-by-step explanation:
rate = distance/time
Multiply both sides by time:
time * rate = distance
Divide both sides by rate:
time = distance/rate
We are given:
distance = 76 km
rate = 16 km/h
time = ?
time = distance/rate
time = 76 km/(16 km/h)
time = 4.75 h = 4 3/4 h
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have.(hint: one is the other simplified)
Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
If 7 beans were on your plate, and you took away 2 bananas, how many apples are left?
Answer:
4 tacos
Step-by-step explanation:
according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now
Annabeth has $29.00 to spend at the sporting goods store.
She buys a T-shirt that costs $15.32. She spends all of her
money. She also wants to buy a soccer ball for $13.68, a
baseball cap for $8.39, a set of shin guards for $14.98, or a
water bottle for $5.93.
*Need asap* (might give brainiest if I can)
Hi there!
»»————- ★ ————-««
I believe your answer is:
The soccer ball.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]
⸻⸻⸻⸻
She would have $13.68 dollars left. Her second item should be the soccer ball.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
James walks to a coordinate of (4, 5) and then to (1, 2) which joins the two coordinate in a straight line.Find the: (i) Gradient (m) of the line joining the two points. (ii) Equation of the line joining the two points.
Answer:
gradient = slope = 1
Y =1X +1 is the equation
Step-by-step explanation:
x1 y1 x2 y2
4 5 1 2
(Y2-Y1) (2)-(5)= -3 ΔY -3
(X2-X1) (1)-(4)= -3 ΔX -3
slope= 1
B= 1
Y =1X +1
A car travels 32 km due north and then 46 km in a direction 40° west of north. Find the direction of the car's resultant vector. [?] Round to the nearest hundredth.
Answer:
Step-by-step explanation:
This requires some serious work before we even begin. First off, we will convert the km to meters:
32 km = .032 m
46 km = .046 m
And then we have to deal with the angle given as 40 degrees west of north. An angle 40 degrees west of north "starts" at the north end of the compass and moves towards the west (towards the left in a counterclockwise manner) 40 degrees. That means that the angle that is made with the negative x axis is a 50 degree angle. BUT the way angles are measured in standard form are from the positive x-axis, therefore:
40 degrees west of north = 50 degrees with the negative x axis = 130 degrees with the positive x axis. 130 is the angle measure we use. Phew! Now we're ready to start. Adding vectors requires us to use the x and y components of vectors in order to add them.
[tex]A_x=.032cos90.0[/tex] so
[tex]A_x=0[/tex] (the 90 degrees comes from "due north")
[tex]B_x=.046cos130[/tex] so
[tex]B_x=-.030[/tex] and if we add those to get the x component of the resultant vector, C:
[tex]C_x=-.030[/tex] And onto the y components:
[tex]A_y=.032sin90.0[/tex] so
[tex]A_y=.032[/tex]
[tex]B_y=.046sin130[/tex] so
[tex]B_y=.035[/tex] and if we add those together to get the y component of the resultant vector, C:
[tex]C_y=.067[/tex] Note that since [tex]C_x[/tex] is negative and [tex]C_y[/tex] is positive, the resultant angle (the direction) will put us into QII.
We find the magnitude of C:
[tex]C_{mag}=\sqrt{(-.030)^2+(.067)^2}[/tex]
We will round this after we take the square root to the thousandths place.
[tex]C_{mag}=.073m[/tex] and now for the angle:
[tex]\theta=tan^{-1}(\frac{.067}{-.030})[/tex] which gives us an angle measure of -67, but since we are in QII, we add 180 to that to get that, in sum:
The magnitude of the resultant vector is .073 m at 113°
I need help can someone help me out
Answer:
C' (-1,-2)
V' (-2,2)
N' (2,0)
Answered by GAUTHMATH
One of the lengths of a leg on a right angled triangle is 15 ft the length of the hypotenuse is 17 ft find the length of the other leg
Select two choices that are true about the function f(x)=23x+14/x
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
Create an equation in slope-intercept form from A line that includes the point (6,–7) and has a slope of 2.
Answer:
Use the equation y=mx+c
the slope(m) is 2,y is -7and x is 6
therefore you firstly have to find the y intercept (c)
y=mx+c
-7=2(6)+c
-7=12+c
-7-12=c
-19=c
then replace the gradient and y intercept in the equation
y=mx+c
y=2x-19
or you can use the formula y-y1= m( x-x1)
I hope this helps
[tex]71 \times 3 + 96 - 5 \div 3 \times 96 + 8[/tex]
thanks.............
:)
;)
Answer:
157
hope it help
...
....
.....
......
.......
HELPP!!
What is the approximate sum of this series?
Answer:
The answer of this question is 134.83
Help what is x
When x^5 is 225
Answer:
Solution given:
x^5=225
we have
x=[tex] \sqrt[5]{225} [/tex]
x=2.9541
Hello!
[tex] \bf {x}^{5} = 225[/tex]
Extract the radical on both sides of the equation.[tex] \bf x = \sqrt[5]{225} [/tex]
[tex] \bf x ≈2.95418[/tex]
Answer: x ≈ 2,95418
Good luck! :)
If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.
[ Using Factor Theorem ]
Answer:
k = 11
Step-by-step explanation:
What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x = - 1
f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5
f(-1) = -2 - k(1) + 8 + 5 = 0
-k*(1) + 11 = 0
-k = -11
k = 11
Guys please help me solve this I’m struggling
Answer:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Step-by-step explanation:
Given
[tex]z = 4x + 5y[/tex]
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
Required
The maximum and minimum of z
To do this, we make use of the graphical method
See attachment for graphs of
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
The corner points of the function are:
[tex](x,y) = (-1,1)[/tex]
[tex](x,y) = (-1,0)[/tex]
[tex](x,y) = (-1,-1)[/tex]
We have:
[tex]z = 4x + 5y[/tex]
Calculate z with the above values
[tex]z = 4(-1) + 5(1) = 1[/tex]
[tex]z = 4(-1) + 5(0) = -4[/tex]
[tex]z = 4(-1) + 5(-1) = -9[/tex]
So, we have:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Find the third term of (x^2 + 2)^4.
Answer:
Step-by-step explanation:
[tex]in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4[/tex]
the third term is: 24*x^4
We want to find the third term of the equation:
(x^2 + 2)^4
So we need to expand that.
Remember the rule:
(a + b)^2 = a^2 + 2*a*b + b^2
(a + b + c)^2 = a^2 + b^2 + c^2 + 2*a*b + 2*b*c + 2*c*a
Then we can write:
(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2
and we have:
(x^2 + 2)^2 = (x^4 + 2*2*x^2 + 2^2) = (x^4 + 4*x^2 + 4)
Then we have:
(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2
(x^2 + 2)^4 = (x^4 + 4*x^2 + 4)^2
And we can expand this as:
(x^4)^2 + (4*x^2)^2 + 4^2 + 2*(x^4)*(4*x^2) + 2*(4*x^2)*(4) + 2*(x^4)*(4)
now we have this expanded, so we need to simplify this:
x^8 + 16*x^4 + 16 + 8*x^6 + 32*x^2 + 8*x^4
Putting the terms in order (larger degrees go in the left) we get:
x^8 + 8*x^6 + 16*x^4 + 8*x^4 + 32*x^2 + 16
x^8 + 8*x^6 + (16 + 8)*x^4 + 32*x^2 + 16
x^8 + 8*x^6 + 24*x^4 + 32*x^2 + 16
So the third term would be the third counting from the left, which is:
24*x^4
If you want to learn more, you can read:
https://brainly.com/question/12556222
Please help me solve this problem
Answer:
-4
they wanted you to compute using x as 3
-2*3 + 2 = -4
Step-by-step explanation:
what is the solution to 4 (1/2x + 7) =12
Answer:
-8
Step-by-step explanation:
Solve the brackets first
4/2x+28=12
then group the like terms
2x=12-28
2x/2=-16/2
x= -8
i hope this helps
Answer:
1/2x + 7=12/4=3
1/2x = 3-7=-4
x=-4/0.5
x=-8
what’s the answer ? i don’t understand this one. please show me the answer
Answer:
hello,
Step-by-step explanation:
n+2*(2n-5)=20
5n-10=20
5n=30
n=6
What is the name of an investment that pools money from many investors in
order to acquire a large variety of stocks, bonds, and other investments?
A. Derivative
B. Mutual fund
C. Annuity
Answer:
Mutal fund because its a formerly greatest instruments
The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
What is investment?Investment is traditionally defined as the "commitment of resources to achieve later benefits
A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.
Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.
Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.
Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.
Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
To learn more on Investment click:
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Help please urgent 25 point
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
use the prime factors of 3136 and 2744 to evaluate:✓3136/3✓2744
Answer:
3136 = 2^6 × 7^2
2744 = 2^3 x 7^3
✓3136/3✓2744 = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14
Which ordered pairs are in the solution y-1/3x+2
Y 2x+3
Answer:
(-1/3, 2) and (2, 3)
Step-by-step explanation:
a3+b3+c3-3abc. If a=-1 b=2 c=3
Step-by-step explanation:
the answer of the following is in the figure
The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved. The skateboard costs $ 69. How much money has Rita saved? Choose the steps that show how to solve this problem using arithmetic
Given:
The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved.
The skateboard costs $69.
To find:
The saved amount.
Solution:
Let x be the saved amount.
The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved. So, the cost of the skateboard is [tex]3x-6[/tex].
The skateboard costs $69.
[tex]3x-6=69[/tex]
[tex]3x=69+6[/tex]
[tex]3x=75[/tex]
Divide both sides by 3.
[tex]x=\dfrac{75}{3}[/tex]
[tex]x=25[/tex]
Therefore, Rita saved $25.
ok please help i don't understand part of the question, I will try and give brainly
Answer:
j' = (1,-2) k'=(3,-1) L' = (3,-3)
Step-by-step explanation:
I think that you just multiply all the x,y values for the three points by 1/5?
5 1
-10 -2
j' = (1,-2)
~~~~~~~~~~~~~~~~~~
15 3
-5 -1
k'=(3,-1)
~~~~~~~~~~~~~~~
15 3
-15 -3
l' = (3,-3)
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
If ori has 10 mangos and gives 20 mangos to lucy,how many mangos does ori need to give
I need help please! Will mark brainliest! (both are seprate questions!
Step-by-step explanation:
if you want to find volume of cone you must you this formula: hπr² so 10*π(3)*r²(4)= 120ft² and
if you want to find volume of cylinder you should use this formule: πr²*h/3 =π(3)*r²(4)*h(3)/3= 12 the figure has 132 volume in totally.