Answer:
x² - 2x = 0
Step-by-step explanation:
a = 0 ; b = 2
x² - (a +b)x + ab = 0
x² - (0 +2 )x + 0*2 = 0
x² - 2x = 0
What are the solutions of the equation x4−10x2+9=0? Use u substitution.
Group of answer choices
x = 3 and x = 1
x = 3i, x = -3i, x = i, x = -i
x = -3, x = 3, x = 1, and x = -1
x = -3 and x = -1
Answer:
Step-by-step explanation:
X^4 - 10X^2 + 9 =0 This factors. It just looks odd.
(x^2 - 1)(x^2 - 9) = 0
x^2 - 1 = (x + 1)(x - 1) = 0
x = 1 and x = - 1
x^2 - 9 = (x + 3)(x - 3) = 0
x = 3
x = -3
The correct answer is C (third one down).
The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.
Answer:he correct answers are 10.9 feet and 392.4 square feet.
Step-by-Step explanation:
Answer:
Apothem is 10.9 feet
Area of the gazebo is 392.4 feet
Step-by-step explanation:
Edge
Find the solution of the system of equations.
−
10
x
−
9
y
=
−10x−9y=
10
10
8
x
+
9
y
=
8x+9y=
10
10
Answer:
sitting ai week few ai is
[tex]\huge \dag \sf{Answer \: it}[/tex]
[tex]{\huge{\underline{\small{\mathbb{\pink{REFER \ TO \ THE \ ATTACHMENT}}}}}}[/tex]
Note: Only For best users
Spammers stay away
Spams and Copy not allowed
Need explanation not only answer
Don't answer if you don't know
Thank You!
Answer:
A. 8
Step-by-step explanation:
We are given the functions:
[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]
We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.
As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.
[tex]f(g(x))=\sqrt{(7x+b)}[/tex]
The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.
[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]
Therefore, the value of b is equal to 8.
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
Step-by-step explanation:
perimeter=2(l+b)
check the picture for more clarification
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.
Answer:
1/46,656 and Brad and Laura ARE like using unfair number cubes.
Step-by-step explanation:
find the slope of the line, given the points (0,2) and (3.6,2) show all your work
Answer:
There is no slope because the slope is zero. The line has no slope because it's a vertical line.
Step-by-step explanation:
Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]
Slope = 0
The line has no slope.
Does this table represent a function or not? Why or why not?
Answer:
D. No, because two of the y-values are the same
Step-by-step explanation:
The y values cannot be the same
Answer:C
Step-by-step explanation:
Please please help meee please help meeee
Answer:
i. $3000
ii. $9000
Step-by-step explanation:
25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.
Select two numbers that make the inequality true.
1/2x<10
Answer:
Any numbers below 20
Step-by-step explanation:
1/2x<10
Hope this helps :)
it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio
Answer:
Ratios are basically proportions so in this scenario
We can make it…
brick layers : hours
We’re given the first one which is
3:2
Whilst the one we need to find is only given for brick
For the unknown hours we can make it “x”
4: x
Now we have 2 ratios
3:2
4:x
Now these are fractions and we can make them equal to each other by
3/2 = 4/x
Now cross multiply to solve for x
3x=8
2 2/3 = x
So 2 2/3 hours
if you help ill mark you brilliant
Answer:
8/5
Step-by-step explanation:
hope this helps :D
{Find the number that is missing from the equation}
Question 1 →3 + __________ = (-7)
Question 2 → Solve : (-9) + 18 + (-2) + (-5) + 9.
Answer:
-10
and I think it's 11 or 7
3x+5y=-9
-6x-10y=18
elimantion substuion method
Answer:
Infinitely many solutions
Step-by-step explanation:
2(3x + 5y = -9)
6x + 10y = -18
-6x - 10y = 18
0 = 0
Which number is greater explain your reasoning .375 or 3/8? help!
Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375
Step-by-step explanation:
3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.
what is the right answer
Answer:
C. The third option
Step-by-step explanation:
square root of 3 = 1.73
2/6 = 0.333
254% = 2.54
I hope that this helps!
Malika went shopping for a new pair of pants. Sales tax where she lives is 4%. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?
Answer:
[tex]\frac{104}{100}[/tex]
Step-by-step explanation:
You would multiply 104/100 to the price because it would be 100%, (basically the price), plus the 4/100, the tax.
algebra 2 is really difficult please help me no bogus answers please
#1
Discount is 40%=0.04xSo the function is
e(s(x))=0.04x#2
[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]
[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]
[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]
[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]
Write each decimal as a mixed number or fraction in simplest form.
24. 1.4
25. 0.33
26. 0.24
27. 4.44
28. 2.8
29. 0.05
30. 0.005
31. 7.32
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round 2 places past the decimalI have no clue how to do financial math
Answer:
Step-by-step explanation:
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the
point.
Answer:
(3,4)
Step-by-step explanation:
There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.
In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.
Hopefully that's helpful! :)
The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?
Answer:
See belowStep-by-step explanation:
Given function:
h(t) = -16t² + 64t + 6a)
The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:
t = - 64/2*(-16) = 2It takes 2 seconds
b)
Maximum height is at vertex:
h(2) = -16(2²) + 64(2) + 6 = 70 ydc)
The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:
2*2 = 4 secondsThe receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.
4√3⋅10√12⋅√6⋅√2?
plz help!!! for algebra.
Answer:
480[tex]\sqrt{3}[/tex]
Step-by-step explanation:
4[tex]\sqrt{3}[/tex] · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] · [tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 4 · 10[tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex]
= 40 · 2 · 3 · 2 · [tex]\sqrt{3}[/tex]
= 480[tex]\sqrt{3}[/tex]
Marty simplified the expression 2(x - 2) - 2(3) as 2x-8. Is he correct? Explain why or why not.
Answer: No
Step-by-step explanation:
It should be 2x-4 (2*×=2x and 2*2=4)
No, the simplified expression is not correct.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given expression
2(x - 2) - 2(3)
so 2(x - 2) = 2x - 2(2)
= 2x - 4
and 2(3) = 6
substitute the value
2(x - 2) - 2(3) = 2x - 4 - 6
= 2x - 10
and equation of Marty is 2x - 8
Hence the equation of marty is incorrect.
Learn more about simplification;
https://brainly.com/question/28996879
#SPJ5
Find the next two numbers in the pattern -96, 48, -24, 12,...
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given sequence is a geometric ~
let's find the common ratio (r) first ~
[tex] \dfrac{48}{ - 96} [/tex][tex] - \dfrac{1}{ 2} [/tex]And the first term (a1) of the sequence is ~ -96
let's find the 5th and 6th term.
The value of 5th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex][tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex][tex] - 96 \times \dfrac{1}{16} [/tex][tex] - 6[/tex]The value of 6th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex][tex] - 96 \times - \dfrac{1}{32} [/tex][tex]3[/tex]Ajoba and Prav drive to work. Ajoba drives 45 miles in 2.5 hours. Prav drives 74 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answer:
30.4 km/h
Step-by-step explanation:
Ajoba: 45 miles = 72 km ; 2.5 hours
Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours
Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h
Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h
Difference: 59.2 - 28.8 = 30.4 km/h
If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?
A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.
Answer:
Step-by-step explanation:
Correct answer:
3√3
Explanation:
General formula for the diagonal of a cube if each side of the cube = s
Use Pythagorean Theorem to get the diagonal across the base:
s2 + s2 = h2
And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:
h2 + s2 = d2
s2 + s2 + s2 = d2
3 * s2 = d2
d = √ (3 * s2) = s √3
So, if s = 3 then the answer is 3√3
Help snsnsnansnsnsnsns
Answer:
answer is 420-69
Step-by-step explanation:
because those numbers are great
I’m stuck pls help thanks
Answer:
[tex](C) \ a=\frac{1}{b}.[/tex]
Step-by-step explanation:
(a+b)²=a²+b²+2;
a²+2ab+b²=a²+b²+2;
2ab=2;
ab=1
I’ll give brainliest, thanks and 5 stars.
Answer:
First, you can break 6 into 3 * 2.
[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]
Then, cancel out the common factor of [tex]3^3[/tex]:
[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]
Next, cancel out the common factor of [tex]2^4[/tex].
[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]
You can evaluate it as 10125 if you'd like.