Step-by-step explanation:
To find a, the leading coeffiecent of the quadratic is a.
So a is 2.
To find b, we must use the formula
[tex] - \frac{b}{2a} [/tex]
[tex] \frac{ - ( - 3)}{2(2)} = \frac{3}{4} [/tex]
So b=3/4.
To find c, plug in 3/4 into the function,
which we get
[tex]2( \frac{9}{16} ) - 3( \frac{3}{4} ) + 21[/tex]
[tex] \frac{9}{8} - \frac{9}{4} + 21 = \frac{9}{8} - \frac{18}{8} + 21 = - \frac{9}{8} + 21 = 19.875[/tex]
So c=19.875
show the graph of f(x)=5^X
Answer:
i put it below
Step-by-step explanation:
but if you want to do it without a graphing calculator all you have to do is substitute random points then draw them on a graph
!!!!!!!!!!!!!!!!!!!!
In 1949, the inflation rate in the United States was -2%If a car cost $1500 at the beginning of the year, what did it cost at the end of the year
Based on the inflation rate in the United States in 1949, the cost of the car at the end of the year would be $1,470.
What is the cost of the car at year's end?The cost can be found by the formula:
= Cost x (1 + inflation rate)
The inflation rate is negative so solving gives:
= 1,500 x (1 - 2%)
= $1,470
Find out more on inflation at https://brainly.com/question/777738.
I need help please! I’ll give brainliest, thank you!
Solve completely \large x^4-4=x^3+2x
Move everything to one side and factorize by grouping.
x⁴ - 4 = x³ + 2x
x⁴ - x³ - 2x - 4 = 0
(x⁴ - 4) - (x³ + 2x) = 0
(x² - 2) (x² + 2) - x (x² + 2) = 0
(x² - x - 2) (x² + 2) = 0
(x - 2) (x + 1) (x² + 2) = 0
Then
x - 2 = 0 or x + 1 = 0 or x² + 2 = 0
x = 2 or x = -1 or x² = -2
If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).
Solve the system of equations. Enter your answer as an ordered pair (x, y). 4x+y=−1 −5x−2y=−4
Answer:
Step-by-step explanation:
4x + y = - 1 -------------(I)
-5x - 2y = -4 -----------(II)
Multiply the equation (I) by 2 and then add the equations.
(I)*2 8x + 2y = -2
(II) -5x - 2y = -4 {Now add and y will be eliminated}
3x = -6
x = -6/3
x = -2
Substitute x = -2 in equation (I)
4*(-2) + y = -1
-8 + y = -1
y = - 1 + 8
y = 7
Answer:
(-2, 7)
Step-by-step explanation:
4x + y = -1
-5x - 2y = -4
---------------------------------------
2(4x + y = -1) = 8x + 2y = -2
---------------------------------------
8x + 2y = -2
-5x - 2y = -4
3x = -6
÷3 ÷3
x = -2
-----------------------------------------
4(-2) + y = -1
-8 + y = -1
+8 +8
y = 7
I hope this helps!
help me out please omg bro
Answer:
$ 3.75
Step-by-step explanation:
divide 10.50 by 2.8 which gives us 3.75
Answer:
B $ 3.75
Step-by-step explanation:
hope it helps you
HELP anyone mr brainly or any smart math people and do it fast asap !
Answer:
m∠R = 60°
explanation:
Its a isosceles triangle, thus m∠R = m∠Ptotal interior angles of triangle sum up to 180°Let the angle be x,
x + x + 60° = 180°
2x = 180° - 60°
2x = 120°
x = 60°
Answer:
Step-by-step explanation:
Sum of interior angles in a triangle = 180degree
PQ=QR so triangle PQR is an isosceles triangle
The two base angles of an isosceles triangle are equal
So <R = <P
m<R + m<P + 60degree = 180degree
m<R = (180-60)/2 = 60degree
A right triangle has a hypotenuse with length 6 ft and a leg of length 3.4 ft.
What is the length of the other leg of the right triangle?
Enter the answer, rounded to the nearest hundredth.
Answer:
The answer is 4.94, rounded.
Step-by-step explanation:
The pythagorean theorem is : a^2+b^2=c^2
Inserting our numbers:
3.4^2+b^2=6^2
We can find 'B' by finding the other two numbers and subtracting 'A', from 'C'.
3.4*3.4= 11.56
6*6= 36
36-11.56= 24.44
Then, find the root of the difference
√24.44
4.94368283772...
Then round, and you have your answer!
4.94
hi can u guys help me thank u oh and i will give a brainly if correct :)
Answer:
226,080 cm³
Step-by-step explanation:
volume of cylinder : πr²h
Here given:
radius : 15 cmheight : 320 cmusing volume formula:
π(15)²(320)
72000π
72000(3.14) [ take π as 3.14 ]
226,080 cm³
Answer:
=> 226,080 cm³Step-by-step explanation:
Given:
Radius = 30/2 = 15cm
Height = 320cm
=> The volume of cylinder = πr²h
=> π×15×15×320
=> 3.14×225×320
=> 226,080cm³
Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf.
In how many different ways can the empty shelf be filled?
Answer: 120
Step-by-step explanation: 10 [tex]10\int\limits^a_b {x} \, dx 3[/tex]
Mario bought tickets to the amusement park. They were originally 45$ each. However, they were on sale for 30$. What percentage discount did Mario recieve?
which is like a radical to ^3 to the square root of 54 after simplifying
Answer:
The radical that is equal to ∛54 is 3∛2.
Step-by-step explanation:
Given
∛54
We need to find the radical that is similar to ∛54, we need to break down the radicand 54, into smaller numbers, therefore, take the LCM of the number,
54 = 2 x 3 x 3 x 3
As we are taking the cube root, therefore, we need numbers that are repeating thrice.
Thus, the radical can be written as,
[tex]\sqrt[3]{54} =\sqrt[3]{2x 3x 3x 3} \\\\\sqrt[3]{54} =3\sqrt[3]{2}[/tex]
Hence, the radical that is equal to ∛54 is 3∛2
Answer:
[tex]3\sqrt[3]{2}[/tex]
Step-by-step explanation:
Original expression:
[tex]\implies \sqrt[3]{54}[/tex]
Factorize 54 using prime factorization:
[tex]\implies \sqrt[3]{2 \cdot 3^3}[/tex]
Apply radical rule: [tex]\sqrt[n]{ab} =\sqrt[n]{a} \cdot \sqrt[n]{b}[/tex]
[tex]\implies \sqrt[3]{2} \cdot \sqrt[3]{3^3}[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n} =a[/tex]
[tex]\implies \sqrt[3]{2} \cdot 3[/tex]
[tex]\implies 3\sqrt[3]{2}[/tex]
Can someone help me understand
Answer:
Its solving equations with variable on both sides
Step-by-step explanation:
Example: 8a = 3a+25
You have to make a variable on the both side
So.....
8a-3a = 3a+25-3a
And then solve it. So the last thing you will have is
5a = 25
If you want to the simplest form...divide 25 with 5
a = 25/5
a = 5
Hope this help you.
Which is the best estimate for the volume of a coffee mug?
Answer:
Step-by-step explanation:
The best estimate for the volume of a coffee mug would be the volume of a cylinder. The volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
The volume can be thought of as the area of a circle, being scaled by the height. The area of the circular base of the mug, multiplied by the height of the mug.
simplifying the expression 5/6÷3/6×3/5 gives
Answer:
Hope this helped you
Step-by-step explanation:
5/6 ÷ 3/6 = 5/6 × 6/3 = 5/3
5/3 × 3/5 = 1
5/6÷3/6x3/5
0.83÷0.50x0.60
0.83÷0.30
ANSWER: 2.767
I tried to make it as easy as possible!
pls mark brainliest!
I need help finding MN in this geometry test and I can't figure it out on my own.
Answer:
I think it is 7.3. Cos35=6/MN.
Step-by-step explanation:
Cosine of 35 degrees= adjacent side /hypotenuse.
WILL GIVE BRAINLIEST AND MAX POINTS
Answer:
113.04
Step-by-step explanation:
The area of the square is 144 which means the length of each side of the square is 12. When the length on one side is 12 the radius of the circle will be half of the whole length. In this case, it means the radius is going to be 6. When we find the radius, we can use the formula r^2pie to find the area for the circle.
6 * 6 * 3.14
= 113.04
Answer:
Area = 113.04 in²
Step-by-step explanation:
Given:
Area of the square = 144 in²Area of a square
[tex]\sf A=s^2\quad \textsf{(where s is the side length)}[/tex]
Substitute the given area of the square into the formula and solve for s:
[tex]\begin{aligned}\sf A & = \sf s^2\\\implies \sf 144 & = \sf s^2\\\sf \sqrt{144} & = \sf \sqrt{s^2}\\\sf 12 & = \sf s\\\implies \sf s & = \sf 12\:\:inches\end{aligned}[/tex]
From inspection of the given diagram, the side length of the square is equal to the diameter of the circle. Therefore, the diameter is 12 inches.
Radius of a circle
[tex]\sf r = \dfrac{1}{2}\:d\quad \textsf{(where d is the diameter)}[/tex]
Substitute the found diameter into the formula and solve for r:
[tex]\begin{aligned}\sf r & = \sf \dfrac{1}{2}\:d\\\implies \sf r & = \sf \dfrac{1}{2}(12)\\\sf r & = \sf 6\:\:inches\end{aligned}[/tex]
Area of a circle
[tex]\sf A= \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
Substitute the found radius into the formula and solve for A:
[tex]\begin{aligned}\sf A & = \sf \pi r^2\\\implies \sf A & = \sf 3.14 \cdot 6^2\\& = \sf 3.14 \cdot 36\\& = \sf 113.04\:\: in^2\end{aligned}[/tex]
Therefore, the approximate area of the paper circle is 113.04 in².
What are the pros and cons of using disposable plastic and paper products for dine-in fast food restaurants over reusable plates, cups, and silverware? atleast 2 pros and 2 cons
Answer:
Disposable items decompose after some time thus making them eco-freindly(safe for the environment) they also don't make a giant mess that takes thousands of years to decompose and even if they do it doesn't take that long for them to decompose on the other hand they are more expensive to mass produce than reusable items and they also are more expensive to buy than non Disposable but reusable items.Non disposable but reusable Items when thrown away can take decades or even in some cases tens of thousands of years to decompose and can pose a threat to the environment they can be eaten by fish and other animals causing them in some cases to die they can cause a giant mess on the other hand they are cheap,and quick to make and you don't have to pay as much for dishes.Kohl's buys jeans from the manufacturer for $20 and then sells them in their store for $35.
What is the markup?
What is the % markup?
Answer:$15, 75%
$35-$20=$15
$15/$20*100=
Step-by-step explanation:
Susie is going to watch a programme which begins at 20:30 and lasts for one hour and forty five minutes what time will it finish?
Answer:
22:15
Step-by-step explanation:
1 hour = 60 mins
20:30 + 45 mins
= 21:15
Plus another hour
21:15+ 1 hour= 22:15
Given u = (2, -8) and v = (8, -2), what is u times v?
Answer:
[tex]u\cdot v=32[/tex]
Step-by-step explanation:
Assuming [tex]u[/tex] and [tex]v[/tex] are vectors, their dot product is [tex]u\cdot v[/tex] where [tex]u_1v_1 + u_2v_2[/tex]:
[tex]u\cdot v=u_1v_1+u_2v_2=(2)(8)+(-8)(-2)=16+16=32[/tex]
Therefore, [tex]u\cdot v=32[/tex]
Jace and jake are brothers and are having a spring party. They will be inviting a lot of friends. There will be a total of 14 people at the party. They will have pizza and soda pop and watch a movie. The soda pop comes in 6 packs and costs $2. 98 per pack. Pizza costs $6.75 each is cut into a slices. The movie costs $4.25 to rent. Each small table can seat 4 people. How many 6 packs of soda do jace and jake need to buy if each person has one pop?
Answer:
3 packs of sodas would need to be bought.
Step-by-step explanation:
6 x 2 = 12 which isn't enough
6 x 3 = 18 which is more than enough
Please helpp me?!!!! I will fail my Calc class!!
Step-by-step explanation:
Using that fact that,
[tex] \cos(u) = \frac{x}{r} [/tex]
and
[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]
We need to find sin which that formua is
[tex] \sin(u) = \frac{y}{r} [/tex]
We know what r and x is so we need to find y.
[tex] {8}^{2} = { - 3}^{2} + {y}^{2} [/tex]
[tex]64 = 9 + {y}^{2} [/tex]
[tex]55 = {y}^{2} [/tex]
[tex] \sqrt{55} = y[/tex]
Sin is positve on the interval pi/2 to pi. so we get
[tex] \sin(u) = \frac{ \sqrt{55} }{8} [/tex]
b.
[tex] \tan(u) = \frac{y}{x} [/tex]
so
[tex] \tan(u) = - \frac{ \sqrt{55} }{3} [/tex]
c.
[tex] \sec(u) = \frac{r}{ x} [/tex]
[tex] \sec(u) = - \frac{8}{3} [/tex]
d.
[tex] \sin(2u) = 2 \sin(u) \cos(u) [/tex]
[tex]2 ( \frac{ \sqrt{55} }{8} )( - \frac{3}{8} ) = \frac{ - 6 \sqrt{55} }{64} = \frac{ - 3 \sqrt{55} }{32} [/tex]
e.
[tex] \cos {}^{} (2u) = \cos {}^{2} (u) - \sin {}^{2} (u) [/tex]
[tex]( \frac{ - 3}{8} ) {}^{2} - ( \frac{ \sqrt{55} }{8} ) {}^{2} = \frac{ - 46}{64} = - \frac{23}{32} [/tex]
choose the sentence that complete the fact family like 2×9=18 18÷9=2 9×2=18 is it a 36÷2=18 b 18÷6=3 c 36÷18=2 d 18÷2=9 is it abc or d
The fact family like equations are 2 × 9 = 18 and 18 ÷ 9 = 2.
What is fact family?A fact family is a group of math equations that shows the relationship between the numbers involved. There are addition and subtraction fact family as well as division and multiplication fact family.
Hence:
2 × 9 = 18 and 18 ÷ 9 = 2 shows a fact family.
Find out more on fact family at: https://brainly.com/question/1250189
At a toy factory, three out of every
12 dolls are made with curly hair,
What percent of the dolls are
made with curly hair?
Answer:
25%
Step-by-step explanation:
25% of the dolls are made with curly hair.
Answer:
4%
Step-by-step explanation:
12 / 3= 4
=
Write an exponential function y = abx whose
graph passes through the points (1,6), (2, 18)
Answer:
[tex]2(3) {}^{x} [/tex]
Step-by-step explanation:
[tex]y = ab {}^{x} [/tex]
We know that when x=1, y=6
[tex]6 = a {b}^{1} [/tex]
x=2, y=18
[tex]18 = a {b}^{2} [/tex]
Notice that if we divide
[tex] \frac{ {ab}^{2} }{ab} = b[/tex]
So if we divide 18 and 6, that will give us our common ratio.
[tex] \frac{18}{6} = 3[/tex]
So our common ratio is 3.
So know we have
[tex]a(3) {}^{x} [/tex]
Plug in one of the points to find a.
[tex]6 = a(3)[/tex]
[tex]a = 2[/tex]
So the equation. we have
[tex]2 \times ({3}^{x} )[/tex]
Abby earns a monthly salary of $3462 plus 2% commission. Last month, she sold
$5,250 worth of products. What was her gross pay?
Find 2% of what she sold by multiplying the amount she sold by 2%:
5250 x 2% = 5250 x 0.02 = $105
Now add that to her monthly salary:
3462 + 105 = $3,567
i WILLLLLLL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
All angles are the same, all sides are of same length.
1. A sum of money is divided between Laura and Joan in the ratio 2:3. Laura’s share is $8. Calculate Joan’s share?
Step-by-step explanation:
L : J
2:3
so Lara has 2 shares
2 shares = 8
what is one share
type in comments
and then I will explain the rest
The amount of the Joan's share will be $12.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
A sum of money is divided between Laura and Joan in the ratio 2:3.
Laura’s share is $8.
Let J be the amount of Joan's share and L be the amount of Laura's share.
Then the amount of Joan's share will be
L / J = 2 / 3
8 / J = 2 / 3
By the cross multiplication, then the equation will be
2J = 8 x 3
2J = 24
J = 24 / 2
J = $12
The amount of the Joan's share will be $12.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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