Answer:
x=9
Step-by-step explanation:
x in (-oo:+oo)
3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5
3*x-((2/9)*x)-(1/5)-(124/5) = 0
3*x+(-2/9)*x-1/5-124/5 = 0
25/9*x-25 = 0 // + 25
25/9*x = 25 // : 25/9
x = 25/25/9
x = 9
Answer:
1/5
Step-by-step explanation:
i got it right
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Step-by-step explanation:
What is the length of the hypotenuse of the triangle when x=13
Answer:
90.80
Step-by-step explanation:
6x+4
= (6)(13)+4
= 78+4
=82
3x
=(3)(13)
= 39
So we know the sides are 39 and 82
Pythagoras theorem in triangles
= a2+b2= c2
Now, we know the value of a and B but not c (the hypotenuse)
Therefore,
c2 = (39)^2 + (82)^2
= 1521+ 6724
= 8245
so, c = √8245
= 90.80 unitd
Can someone please help me with this?
Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
First you want to get the quadratic formula
in this case a=1 b=6 and c=1
plug it in and solve the equations
(sorry don't know how to put in equations here)
Answer:
Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}
Step-by-step explanation:
First you want to get the quadratic formula
in this case a=1 b=6 and c=1
plug it in and solve the equations
1
The measure of Z1 =
Answer:
∠1 = 90°
Step-by-step explanation:
The angle inscribed in a semicircle is always 90°
∠1 = 90°
I need help with this problem.
Answer:
D
Step-by-step explanation:
[tex]f(x)=3x+5 \\\\g(x)=x^2 \\\\(f-g)(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]
Therefore, the correct answer is choice D. Hope this helps!
find the value of x.
please help !!!
Answer:
62 degrees
Step-by-step explanation:
all triangles equal 180 degrees so you would add both angles together then subtract the sum of that by 180
Answer:
[tex]x=62^o[/tex]
Step-by-step explanation:
Since the addition of all internal angles of a triangle should add up to [tex]180^o[/tex], then, the missing angle can be found by subtracting the two known angles from [tex]180^o[/tex]:
[tex]x=180^o-68.5^o-49.5^o=62^o[/tex]
Find the value of x.
Please help
Answer:
x=5
Step-by-step explanation:
7/5=(2x-3)/x
5(2x-3)=7x
3x=15, x=5
If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen
Answer: 60
Step-by-step explanation:
Cost of 1 cup = 80
Actual cost of 6 cups = 80 x 6 = 480
1/2 dozen cups were bought for 420
Discount 480 - 420 = 60
there are 48 cards in a pack and each card is either red or black.the ratio of the number of red cards to the number of black cards is 1:1.
8 red cards are removed from the pack
find the ratio of the number of red cards now in the pack to the number of black cards now in the pack
Answer:
2:3
Step-by-step explanation:
We know that there are 24 red and black cards in the 48 pack because their ratio is 1:1. When 8 red cards are removed we have 16 red and 24 black cards. The ratio of this is 16:24 which simplifies to 2:3.
The ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1
Calculation of ratioThe total amount of cards (red or black) in the pack is = 48
The ratio of the number of red cards to the number of black cards is = 1:1
The number of cards removed from the pack = 8
Therefore the total number of cards( red or black = 48 -8
= 40 cards
But to calculate the number of red card
= 1+1 = 2
40/2 = 20 red cards
The number of black cards
1+1 = 2
40/2 = 20 black cards
The ratio of red is to black cards = 20:20 or 20/20 = 1:1 or 1/1
Therefore the ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1
Learn more about ratio here:
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10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
what is the constant of proportionality for y=5/8x
Answer: 5/8
Step-by-step explanation:
Answer:
k = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The standard form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{5}{8}[/tex] x ← is in this form
with k = [tex]\frac{5}{8}[/tex]
PLEASE HELP ME OUT!
The output or possible values you could get as a result from
an expression or equation.
Answer:
The Solution Set
Step-by-step explanation:
Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.
[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]
Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.
[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]
The output or possible values you could get as a result from an expression or equation is the solution set of the equation
Take for instance, we have the following equation
[tex]x^2 = 4[/tex]
When solved, the equation becomes
[tex]x = \pm 2[/tex]
This can be rewritten as:
[tex]x = \{-2,2\}[/tex]
This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]
Hence, the output or possible values are called solution set
Read more about equations at:
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Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP
Answer:
No ABC is not a triangle
Step-by-step explanation:
Perimeter = 22 cm
AB = 8 cm ; BC = 8 cm
AC = 22 - ( 8 + 8 ) = 6 cm
But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......
Had it followed the theorem , it could have been a right angle triangle...
x:28=1:8
Whats the answer eh
Answer:
Step-by-step explanation:
We can setup the equation as
x/28 = 1/8
Cross multiplying we get
8x = 28
Dividing by 8 we get
x = 28/8 = 7/2
Jeffrey estimates there's a 40% chance to eat pizza for dinner, it's 60% chance he'll drink cold out, and it's 30% chance to eat pizza and drink Cola. What's the probability of Jeffrey drinking cola, if he eats Pizza?
Answer:
a. 75%
Step-by-step explanation:
Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.
We are given ...
P(p) = 0.40
P(p&c) = 0.30
The conditional probability of interest is ...
P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75
The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.
PLZ HLP MEEEEEEEEEEEEEEE the table below shows what 300 boxer students ate for lunch on friday. what is the ratio of the number of students who ate soup to the number of students who did not eat soup?
Answer:
number of students who ate soup = 60
number of students who didn't ate soup
= 300-60
= 240
60/240 = 1/4
A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true? The length of the rectangle is k – 5 inches. The width of the rectangle is k + 4 inches. The length of the rectangle is k – 20 inches. The width of the rectangle is k + 10 inches.
Answer:
The width of the rectangle is k+4 inches
Step-by-step explanation:
you have [tex]k^{2}+19k+60[/tex] which can be factorized to (k+4)(k+15)
if the length of the rectangle is k-5 that would mean that we can write [tex]k^{2}+19k+60[/tex] as (k-5)n which we know is false, so the only one that applies is k+4
The true statement is:
"The width of the rectangle is k + 4"
Which statement is true?
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
So we want to factorize the area equation, which is a quadratic equation, into a product of two terms.
A = k^2 + 19k + 60
The two zeros are given by Bhaskara's formula:
[tex]k = \frac{-19 \pm \sqrt{19^2 - 4*1*60} }{2} \\\\k = \frac{-19 \pm 11 }{2}[/tex]
So we have two zeros, these are:
k = (-19 - 11)/2 = -15
k = (-19 +11)/2 = -4
So we can factorize the area as:
A = (k - (-15))*(k - (-4)) = (k + 15)*(k + 4).
From this, the only statement that can be true is:
"The width of the rectangle is k + 4"
If you want to learn more about quadratic equations, you can read:
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Use the equation e^x+e^-x/e^x-e^-x=t tosolve for x
Answer:
Solve the rational equation by combining expressions and isolating the variable
x = ln ( t − √ t ^2 + 4 )/2x = ln ( t +√ t ^2 + 4 )/2Answer:
Step-by-step explanation:
I assume that the equation is
[tex]e^x+\frac{e^{-x}}{e^x} -e^{-x}=t \\[/tex]
[tex]e^x+\frac{1}{e^{2x}}-\frac{1}{e^x} = t[/tex]
[tex]e^{3x}+1-e^x=e^{2x}t[/tex]
[tex]e^{3x}-te^{2x}-e^x=-1[/tex]
Let u = e^x
[tex]u^3-tu^2-u=-1[/tex]
[tex]u(u^2-tu-1) = -1[/tex]
if u=1, then [tex]u^2-tu-1 =-1 \longleftrightarrow u^2-tu=0[/tex]
then u = 0 (reject) or u = t
So far, we have u = 1 and u = t
if u =1, e^x =1 , then x = 0
if u = t, then e^x = t or x = lnt
square roots of 263 by division method
Answer:
no whole number
Step-by-step explanation:
263 is a prime number, so it can be divided only by 1 and 263. So, no whole number will be square root for 263.
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80.4 seconds 2 seconds 4.6 seconds It will never hit the ground.
Answer:
Its 2!
Step-by-step explanation:
Just got it correct on edge 2020
The projectile is on the ground for 2 seconds.
What is a projectile?A projectile is an object this is propelled via the application of external pressure and then movements freely underneath have an impact on gravity and air resistance.
What are the 3 types of the projectile?the bullet, the round ball, shotLearn more about projectile here https://brainly.com/question/12870645
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A : The distance around a closed figure B: The space within a closed figure C : Measure using the distance formula D : measure in units squared
Answer:
C : Measure using the distance formula
Step-by-step explanation:
A Venn diagram is a diagram which shows the relation of all different sets
Just like it is given in the attachment there is a relation between the perimeter and the area.
The distance formula is
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
where,
[tex](x_1, y_1)[/tex] is the first point coordinates
[tex](x_2, y_2)[/tex] is the first point coordinates
By using the distance formula as discussed above shows the intersection of the Venn diagram
Hence, the correct option is C.
3. Shenker has 45 CDs.
He gives 10 CDs to his brother.
a) Write an equation you can solve to find how many CDs
Shenker has left.
b) Solve the equation.
Answer: The equation is 45-10=x the answer is 35
Step-by-step explanation: To make the equation you need to have and = sign so, we can do what he has (45) and subtract what he gives away (10) which would equal what he has left (x)
Answer:
45 (initial amount) - 10 (given to brother) = x (number of cd's left)
Equation:
45 - 10 = x
Answer:
35 CDs
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!
Answer:
The width is 2x+1
Step-by-step explanation:
10x^2 +5x
Divide this by 5x
10x^2 /5x = 2x
+
5x/5x =1
Add this together
2x+1
The width is 2x+1
Answer:
( 2x + 1 )
Step-by-step explanation:
10x^2 + 5x
it could also be;
5x (2x + 1)
so, the width is( 2x +1)
20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = [tex]\frac{216}{-1296}[/tex] = [tex]\frac{-1296}{7776}[/tex] = [tex]\frac{7776}{-46656}[/tex] = - [tex]\frac{1}{6}[/tex]
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - [tex]\frac{1}{6}[/tex] = - 36
a₆ = - 36 × - [tex]\frac{1}{6}[/tex] = 6
Answer:
It's 6
Step-by-step explanation:
Got it right!
1 –46,656
2 7,776
3 –1,296
4 216
5 36
6 6
divided by 6 every time
Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)
Answer:
[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]
Step-by-step explanation:
[tex]A = 18x^{2} - 32\\[/tex]
Find the sharing components:
<=> [tex]A=2*9*x^{2} - 2*16[/tex]
Apply the inverse of associative property:
<=> [tex]A = 2(9x^{2} - 16)[/tex]
Identify two square components inside the parenthesis:
<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]
Factorize:
<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]
=> Option D is correct
Hope this helps!
:)
Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?
Answer:
Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115
Step-by-step explanation:
Let x represent the number of items Ace Electronics buys
Let y represent the number of items Hi-Fi Stereo buys
Let z represent the number of items CD World buys
Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:
x + y + z = 195 (1)
Since CD World buys 35 more units than the other two stores combined:
z = x + y + 35 (2)
If you substitute z in equation 1 from equation 2:
x + y + (x + y + 35) = 195
2(x + y) = 195- 35
x + y = 80 (3)
Since z = x + y + 35:
z = 80 + 35
z = 115
Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750
170x + 165y + 160z = 31750 (Substitute x from equation 3 and z as 115)
170(80-y) + 165y + 160(115) = 31750
13600 - 170y + 165y + 18400 = 31750
32000 - 5y = 31750
5y = 250
y = 50
Since x + y = 80:
x + 50 = 80
x = 30
Divide x4 + 7 by x-3.
Answer:
x^3 + 3x^2 + 9x + 27 + 88 / [x - 3]
Step-by-step explanation:
x ^4 + 7 by x - 3 x^3 + 3x^2 + 9x + 27 x - 3 [ x^4 + 0x^3 + 0x^2 + 0x + 7 ]. x^3 -
3x^3 ________________________________ 3x^3 + 0x^2 3x^2
- 9x^2 ______________ 9x^2 + 0x 9x^2
- 27x ____________ 27x + 7 27x
- 81 _________ 88 S
Answer: So the result is : x^3 + 3x^2 + 9x + 27 + 88 / [x - 3]
Please mark me brainliest
Hope this helps.
Which of the following is equal to the ratio of the circumference of a circle to its diameter?
Answer:
Im pretty sure its the 1st one
Step-by-step explanation:
Answer:
option 3 π
Step-by-step explanation:
Circumference = πd
Circumference : diameter = πd : d
= π : 1 = π
find the size of angle yxz give your answer to 3 significant figures 20cm 8cm
tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.
What are trigonometric ratios?In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are
sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]
cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]
tan A =[tex]\frac{opposite side}{adjacent side}[/tex]
Calculate the angle ∠YXZGiven YZ=20cm and XZ=8cm
Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )
tan (∠YXZ ) =20/8 =2.5
∠YXZ = arctan (2.5) =68.2°
Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.
Learn more about trigonometric ratios here :
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