Answer:
Do you need it in percentage, a graph or just normal annual calculation?
A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?
y = 2x + 6
y = 4x + 6
–y = –2x – 3
–y = –4x + 6
Hi there!
[tex]\large\boxed{y = 2x + 6}[/tex]
For a system to have infinite solutions, the lines have to be the same. We can begin by rearranging the given equation into the format y = mx + b:
2y - 4x = 6
Move x to the opposite side:
2y = 4x + 6
Divide all terms by 2:
y = 2x + 6
The answer choice that matches this is the first one.
A club has 30 members. How many ways are there to select a President. Vice-
President and Secretary from this club? Assume no one can occupy more than one
position.
Answer:
Answer is 90 ways
Step-by-step explanation:
You multiply the members (30) by the number of positions (3) to get your answer
The floor is in the shape of square. Louis measures the area as 445 square feet. Find the diagonal of the floor.
Answer:
29.83 ft
Step-by-step explanation:
First, you find the square root of 445, which is 21.09.
Then you use the Pythagorean theorem, which is a^2 + b^2 = c^2
because a and b are the same value you plug it in
21.09^2+21.09^2 = c^2
You end up getting:
c^2=889/5762
You then square root both sides to get:
c = 29.83, which is option 3
GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
The coordinates or rectangle ABCD are (2,-2), (8,-2), (8,-5), (2,-5).
What are the coordinates of rectangle ABCD after a translation of (x - 3, y + 5)
Answer:
(2,-2) --> (-1, 3)
(8,-2) --> (5, 3)
(8,-5) --> (5, 0)
(2,-5) --> (-1, 0)
Find the length of side x in simplest radical form with a rational denominator
Help please!
Answer:
x = 6
Step-by-step explanation:
x = 3 sin(90) / sin (30)
x = 3(1)/(1/2)
x = 3 ÷ [tex]\frac{1}{2}[/tex]
x = 6
need a little help with this
Answer:
-5/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12 - 3)/(4 - -2)
= (-12-3)/(4+2)
-15/6
-5/2
Answer:
-5/2
Step-by-step explanation:
(y2-y1)/(x2-x1) = -15/6 = -5/2
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
18.75%
Step-by-step explanation:
600÷3200=0.1875
0.1875=18.75%
Answer:
18.75%
Step-by-step explanation:
A shopkeeper marks the price of an article 40% above the cost price and allows 20% discount. If the purchase price of an article is rs 1000, find the mark price of the article.
Step-by-step explanation:
Cost Price =Rs.200
Shopkeeper Mark the price 40% above the cost price then
M.P=200+40%of200
⇒200+
100
40
×200
⇒200+80=Rs.280
Discount=20%
Then Price after discount=280−20%of280
⇒280−
100
20
×280
⇒280−56=Rs.224
Sales tax rate=10%
Then sales price=224+10%of224
⇒224+
100
10
×224
⇒224+22.4=246.4∼Rs.246
Answer:
Yes it would be Rs.246
Step-by-step explanation:
Find the pre-image of 10 under the function f:x ->3x+1
Answer:
see above
Step-by-step explanation:
Answer right xa hola
PLEASE HELP ITS TIMED!!!!
Answer:
It's A
Step-by-step explanation:
DO FOIL
-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2
Answer:
the first answer: -10a^4 + 17a^2s-6s^2
Step-by-step explanation:
-24/15*2/11=
pls tell fast
Answer:
-48/165
Step-by-step explanation:
A fruitseller bought 50 kg of fruits. He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quantity for the cost price of 18 kg of fruits. Calculate his profit or loss percent in the total transaction.
Answer:
6%.
Step-by-step explanation:
For arguments sake lets assume each fruit cost $1.
He spent $50 for the fruit.
His income from the 30 kg he sold was $35.
His income from the remaining 20Kg was $18.
Total income = $35 + $18 = $53
So his profit was 53 - 50 = $3.
= (3/50) * 100
= 6%
Let f be the function defined as follows:1. If a = 2 and b = 3, is f continuous at x = 1? Justify your answer.2. Find a relationship between a and b for which f is continuous at x = 1.Hint: A relationship between a and b just means an equation in a and b.3. Find a relationship between a and b so that f is continuous at x = 2.4. Use your equations from parts (ii) and (iii) to find the values of a and b so that f is continuous at both x = 1 and also at x = 2?5. Graph the piece function using the values of a and b that you have found. You may graph by hand or use your calculator to graph and copy and paste into thedocument
Answer:
1. not continuous, as the function definitions deliver different function values at x=1 when approaching this x from the left and from the right side.
2.
2 = a + b
3.
0 = 2a + b
4.
a = -2
b = 4
Step-by-step explanation:
the function is continuous at a specific point or value of x, if the f(x) = y functional value is the same coming from the left and the right side at that point.
1. that means that for x=1
3 - x = ax² + bx
so,
3 - 1 = a×1² + b×1 = a + b
2 = a + b
we have to use a=2 and b=3
2 = 2 + 3 = 5
2 is not equal 5, so the assumed equality is false, so the function is not continuous there.
2. point 1 gave us already the working relationship between a and b.
2 = a + b
only if that is true, is the function continuous at x=1.
3. now for x=2
5x - 10 = ax² + bx
5×2 - 10 = a×2² + b×2 = 4a + 2b
10 - 10 = 4a + 2b
0 = 4a + 2b
0 = 2a + b
4. to find a and b to be continuous at both locations x=1 and x=2 both expressions in a and b must apply.
so, they establish a system of 2 equations with 2 variables.
2 = a + b
0 = 2a + b
a = 2 - b
0 = 2×(2-b) + b = 4 - 2b + b = 4 - b
b = 4
therefore
a = 2 - 4 = -2
5. I cannot draw a graph here.
just use now the function
3 - x, x < 1
‐2x² +4x, 1 <= x < 2
5x - 10, x >= 2
Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.
Answer:
[tex]T = 2w + 37[/tex]
Step-by-step explanation:
Let T represent the total amount of videos Rachel has after w weeks.
Rachel already owns 37 videos.
She purchases two more each week.
Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:
[tex]2w+37[/tex]
Then the total after w weeks can be modeled by the equation:
[tex]T = 2w + 37[/tex]
HELP PLEASE ASAP I DONT KNOW THIS ONE QUESTION
Answer:
see image...
the three makes it "taller", the 4x , " speeds up the frequency", and the "+ [tex]\pi[/tex]"
will phase shift it to the right
Step-by-step explanation:
A) 3d = 2d - 2
B) 5d = 4d - 4
Answer:
3D= -2
5D= -4
Step-by-step explanation:
3D = 2d -2
3d - 2d = -2
d= -2
5d =4d-4
5d - 4d = -4
d = -4
hope it will help you
What ordered pairs are the solutions of the system of equations in the graph below?
Answer:
(- 8, 8 ) and (- 4, 1 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the points of intersection of the two
They intersect at (- 8, 8 ) and (- 4, 1 ) ← solutions
Find the value of the polynomial 5x – 4x^2 + 3 at x = 2 and x = –1
Answer:
Let the polynomial be f(x) = 5x – 4x^2 + 3
Now, for x = 2,
f(2) = 5(2) – 4(2)^2 + 3
=> f(2) = 10 – 16 + 3 = –3
Or, the value of the polynomial 5x – 4x^2 + 3 at x = 2 is -3.
Similarly, for x = –1,
f(–1) = 5(–1) – 4(–1^)2 + 3
=> f(–1) = –5 –4 + 3 = -6
The value of the polynomial 5x – 4x2 + 3 at x = -1 is -6.
Answered by GAUTHMATH
Answer:
x=2 => 5×2 - 4×2² + 3 = 10-16+3 = -3
x=-1 => 5×-1 - 4×(-1)² + 3 = -5 - 4 + 3 = -6
Step-by-step explanation:
is in the answer.
remember that squaring a negative number creates a positive result.
You and your mom enter a drawing with 3 different prizes. A total of 10
people entered the drawing, and prizes are awarded randomly.
There are 720 ways to award the prizes.
What is the probability that you win first prize and your mom wins second
prize?
Answer:
7/504
Step-by-step explanation:
there are 504 possibilities of your mom winning and 7 out of tjose are the odds of her winning.
Solve + 17 = 20 for x and plot its value on the number line given below.
Answer:
x=12
Step-by-step explanation:
x/4 + 17 =20
Subtract 17 from each side
x/4 +17-17 =20-17
x/4 = 3
Multiply each side by 4
x/4 *4 = 3*4
x =12
Fill in the blank and dropdown menus to form a true statement below.
Answer:
the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .
Answer:
the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .
Step-by-step explanation:
. Ann can ice a cupcake in 30 seconds. Sarah can ice a cupcake in 40 seconds. Working
Together, how many seconds will it take them to ice all 35 cupcakes?
Answer:
600seconds
Step-by-step explanation:
If Ann can ice a cupcake in 30 seconds, then the total number of cupcakes iced by ann is t/30 cupcakes
Similarly, If Sarah can ice a cupcake in 40 seconds, then the total number of cupcakes iced by Sarah is t/40 cupcakes,
For them to ice 35cupcakes together, then;
t/30 + t/40 = 35
where t is the times taken by both of them to ice 35cupcakes
Find the LCM
40t+30t/1200 = 35
70t/1200 = 35
7t/120 = 35
t/120 = 5
t = 120 * 5
t = 600
This shows that it will take them both 600seconds to ice 35cupcakes
A 42 inch wire is bent into the shape of a rectangle whose width is twice its
length. Set up an equation to find the length of the rectangle.
Answer: Choice A
2(2L + L) = 42
=================================================
Explanation:
The length is L, which is some placeholder for a positive number.
The width is twice as much as this, so it's 2L
The perimeter is found by adding up the four sides (two of which are L, the other two are 2L)
So we have L+L+2L+2L = 2(2L+L) representing the perimeter.
Or we could use this formula
P = 2(L+W)
where L and W are the length and width respectively.
Either way, we end up with 2(2L + L) = 42
Answer:
42 = 2( l+2l)
Step-by-step explanation:
width = 2 length
Perimeter = 2 (l+w)
42 = 2( l+2l)
Divide each side by 2
42/2 = 2 (3l) /2
21 = 3l
Divide by 3
21/3 = 3l/3
7 = l
The length is 7
width is 2*l = 2*7 = 14
Can you answer this math homework? Please!
Answer:
y = 6
Step-by-step explanation:
If x = 1, then: 3 x 1 + y = 9 (first equation)
3 x 1 + y = 9
3 + y = 9
y = 9 - 3
y = 6
The perimeter of a rectangle is 24 cm. If the length is 7 cm, find it width
Answer:
The width is 5 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
Substitute what we know
24 = 2(7+w)
Divide each side by 2
24/2 = 2/2(7+w)
12 = 7+w
Subtract 7 from each side
12-7 = 7+w-7
5 =w
The width is 5 cm
The formula for perimeter = 2 x length + 2 x width
Fill in the known dimensions:
24 = 2 x 7 + 2 x width
Simplify:
24 = 14 + 2 x width
Subtract 14 from both sides:
10 = 2 x width
Divide both sides by 2:
Width = 5 cm
Answer: Width = 5 cm.
Please help please please help
Answer:
Step-by-step explanation:
Number Estimate using a single digit and power of 10
23,898,497 2 × 10⁷
0.000136 1 × 10⁻⁴
26,857 3 × 10⁴
0.0302 3 × 10⁻²
Find the center and radius of the circle x2+y2=4
Answer:
The center is (0,0) and the radius is 2
Step-by-step explanation:
The equation of a circle is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
x^2+y^2=4
(x-0)^2 + (y-0)^2 = 2^2
The center is (0,0) and the radius is 2
how can the graph of g(x) =x2+4 be obtained from the graph of f(x) =x2
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The graph of g(x) is the graph of f(x) shifted up by 4 units
Delta math please help
Answer:
[tex]\approx 13.0[/tex]
Step-by-step explanation:
The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the triangle angle of the right triangle. Parameter (c) represents the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown:
[tex]a = 7\\b = 11[/tex]
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+11^2=c^2[/tex]
Simplify,
[tex]7^2+11^2=c^2\\\\49 + 121= c^2\\\\170=c^2[/tex]
Inverse operations,
[tex]170=c^2\\\\\sqrt{170}=c\\\\\\c \approx 13.0384[/tex]
find y when x=10 if y=8 when x=20
Answer:
16
Step-by-step explanation:
10=8
20=y
10*y = 8*20
10y= 160
y=16