Answer:
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
Step-by-step explanation:
(2x + 3) (3x – 5)=
6x²+9x-10x-15=
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
convert 5.6cm squared into mm squared
convert 5.6 cm = 56 mm squared
Answer: 560 mm²
Step-by-step explanation:
Note that 1 cm = 10 mm
Given: 5.6 cm²
= 5.6 cm· cm
[tex]=5.6\ cm \cdot cm\times \dfrac{10\ mm}{1\ cm}\times \dfrac{10\ mm}{1\ cm}\quad[/tex]
[tex]=560\ mm\cdot mm\\[/tex]
[tex]=\large\boxed{560\ mm^2}[/tex]
Y varies directly as cube root of
[tex]x[/tex]
And y=3 when
[tex]x = 27[/tex]
A. Find the value of the constant
B. Find the relationship
C. Find the value of y when
[tex]x = 8[/tex]
Step-by-step explanation:
Y varies directly as cube root of x is written as
y = k³√x
where k is the constant of proportionality
A).when y = 3
x = 27
We have
[tex]3 = k \sqrt[3]{27} [/tex]
But ³√27 = 3
That's
3 = 3k
Divide both sides by 3
k = 1
The value of the constant is 1B).The value of the relationship is
[tex]y = \sqrt[3]{x} [/tex]C).When x = 8
We have
[tex]y = \sqrt[3]{8} [/tex]y = 2Hope this helps you
please answer fast. Alan is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 2,000 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of coughing. What can Alan conclude from this experiment? (10 points)
Alan can conclude that the medicine given out to the treatment group does indeed work and reduces the amount of coughing and the control group with no treatment never got any better so the medicine is far better than no treatment at all.
N students joined the radio control club. Some had boats, some had airplanes, and some had cars. They divided into 3 equal groups according to what model each one had. Ten more students joined the radio-controlled airplane group. There are 15 students in this group now. How many students joined the radio control club in the beginning?
Answer:
36 people joined the radio control club.
Step-by-step explanation:
15-3= 12
12*3=36
Evaluate the function using the values.
Answer:
Blank 1: 3
Blank 2: 31
Step-by-step explanation:
f(x) = 2x + 7
Plug x as -2
2(-2) + 7
-4 + 7
= 3
Plug x as 12
2(12) + 7
24 + 7
= 31
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
f(x) = 2(x –3)²
Step-by-step explanation:
f(x) = 2x² – 12x + 18
The vertex form of the above expression can be obtained as follow:
f(x) = 2x² – 12x + 18
Factorise
f(x) = 2(x² – 6x + 9)
Next, we shall simplify x² – 6x + 9 by factorisation method.
This is illustrated below:
x² – 6x + 9
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.
The factors are –3x and –3x
Next, replace –6x with –3x and –3x in the equation above as shown below:
x² – 6x + 9
x² – 3x –3x + 9
Factorise
x(x – 3) –3(x –3)
(x –3)(x –3)
(x –3)²
f(x) = 2x² – 12x + 18
f(x) = 2(x² – 6x + 9)
f(x) = 2(x –3)²
Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is
f(x) = 2(x –3)²
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
B.
Step-by-step explanation:
First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.
Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.
In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.
For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.
Note that C is also a third-degree polynomial, but it's not written in descending order.
given that 2d=5b^3+c express b in terms of c and d
Answer:
b = [tex]\sqrt[3]{\frac{2d-c}{5} }[/tex]
Step-by-step explanation:
Given
2d = 5b³ + c ( subtract c from both sides )
2d - c = 5b³ ( divide both sides by 5 )
[tex]\frac{2d-c}{5}[/tex] = b³ ( take the cube root of both sides )
[tex]\sqrt[3]{\frac{2d-c}{5} }[/tex] = b
What is the mode for this set of data? 5,6,13,2,6,11,6,5,3,14
Answer:
6
Step-by-step explanation:
6 appears the most
Answer:
6
Step-by-step explanation:
Put the data in order from smallest to largest
5,6,13,2,6,11,6,5,3,14
2,3,5,5,6,6,6,11,13,14
The mode is the number that appears most often
6 appears most often so it is the mode
The local ice cream shop offers 3 different types of cones and 15 different flavors of ice cream. How many possible ice cream cones (one scoop) can a customer order? a 40 b 18 c 45 d 35
Answer:
45
Step-by-step explanation:
There are 3 cones and 15 flavors
Multiply the number of cones by the number of flavors
3*15
45
There are 45 possible combinations
simplify 4^2 x 4^8 ..................
Answer:
16 and 65536
Step-by-step explanation:
4^2 =16 and 4^8 =65536
Answer:
4^10
Step-by-step explanation:
4^2 x 4^8
When we multiply exponents with the same base, we can add the exponents
4^(2+ 8)
4^10
Select the correct answer.
This table defines a function.
Х
13
16
7
21
10
30
y
39
48
Which table represents the inverse of the function defined above?
Answer:
B.
Step-by-step explanation:
To get the inverse of the function defined by the table given, all you need to do is to interchange the coordinate pairs.
That is, the coordinates pair on a table that defines a function is usually given as (x, y). The inverse of the function would be (y, x).
The following are the coordinate pairs given and the inverse of the function represented:
(x, y) => inverse = (y, x)
(7, 21) => inverse = (21, 7)
(10, 30) => inverse = (30, 10)
(13, 39) => inverse = (39, 13)
(16, 48) => inverse = (48, 16)
The table that represents the inverse of the function given in the question is option B
Solve: [tex]cos^2(2x)-sin^2(2x)=0[/tex] Thanks
Answer:
x = pi/8 + pi/2 *n x = 3pi/8 + pi /2 *n
Step-by-step explanation:
cos ^2 ( 2x) - sin ^2 (2x) = 0
Substitute u = 2x
cos ^2 ( u) - sin ^2 (u) = 0
We know cos ^2(x)-sin ^2(x)=cos (2x)
cos ( 2u) =0
Replacing u with 2x
cos (2 *2x) =0
cos (4x) =0
cos u =0 when u = pi/2 + 2 pi n and 3pi/2 + 2 pi n where n is an integer
4x = pi/2+2 pi n 4x = 3pi/2+2pi n
x = pi/8 + pi/2 *n x = 3pi/8 + pi /2 *n
im not sure wether to replace the minus signs with addition, so if you could help me that would be nice :) 1.2y+4.5-3.4y-6.3
Answer:
-2.2y - 1.8
Step-by-step explanation:
We are to simplify the expression:
1.2y + 4.5 - 3.4y - 6.3
Collect like terms:
1.2y - 3.4y + 4.5 - 6.3
Simplify:
-2.2y - 1.8
That is the answer.
What is the discriminant of 9x^2+2=10x
Answer:
28.
Step-by-step explanation:
9x^2 + 2 = 10x
9x^2 - 10x + 2 = 0
The discriminant is b^2 - 4ac.
In this case, a = 9, b = -10, and c = 2.
(-10)^2 - 4 * 9 * 2
= 100 - 36 * 2
= 100 - 72
= 28.
Since the discriminant is positive, there are two real solutions to the function.
Hope this helps!
How to find and solve this ?
Shape A = ______ units
Shape B = _______ units
Answer:
A = 12
B = 14
Step-by-step explanation:
You essentially have to count the number of squares that are filled in.
Shape A has 12 units filled in.
Shape B has 14 units filled in.
Find the values ofx and y for the triange.
x
60°
30°
у
Answer:
X=36.4 or 36.37306696.... and Y=42
Step-by-step explanation:
So you have a 30-60-90 triangle!
Do Not Worry this is a hard subject to understand, but I will try to do my best with helping you. Right now you need to find x and y. All you have is 21. Under your 60 angle, which is pointing downward, is the 21. And 21 is initially in the spot of x or 1. so 21 is the x(But not the x on the side of 90). I am sorry if this is a bit confusing.
You are then going to take your side which is x, the side that is directly in the path of 90, and it is going to be 21[tex]\sqrt{3[/tex]. Then on the side of your y, which is in the path of your 60, it will be 2 times your x.
The general layout of this is:
x is underneath the side of 90 degrees.
then on the side where 60 degrees and 30 degrees is, is going to be x[tex]\sqrt{3[/tex].
Then the last side, where 30 degrees and 90 degrees lay, will be 2(x).
So all you have to do is plug everything in.
x=36.4 in decimal
y=42(because all you had to do was plug 21 where the x is, because that is where x is in the general layout.)
The value of x = 42 units
The value of y = 21√3 units
What is Trigonometry?The study of the correlation between a right-angled triangle's sides and angles is the focus of one of the most significant branches of mathematics in history: trigonometry. Hipparchus, a Greek mathematician, introduced this idea.
As per the given diagram:
The triangle is a right angle triangle.
Using trigonometric ratios to find x and y:
tan30° = (P/B)
tan30° = (21/y)
(1/√3) = (21/y)
y = 21√3 units
sin30° = (P/H)
(1/2) = (21/x)
x = 2 × 21
x = 42 units
The value of x and y is 42 units and 21√3 units, respectively.
To learn more on Trigonometry, click:
brainly.com/question/17199821
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how would i simplify this?
Answer:
3^6-4x=3^3x-3
Step-by-step explanation:
9^3-2x = 27^x-1 ( 9 is 3² and 27 is 3³)
(3²)^3-2x= (3³)^x-1 in case of exponential between brackets , multiply the exponents.
3^6-4x=3^3x-3
Answer:
x = 9/7
Step-by-step explanation:
9^3-2x = 27^x-1
(3^2)^3-2x = (3^3)^x-1
3^2(3-2x) = 3^3(x-1)
2(3-2x) = 3(x-1)
2(-2x+3) = 3x - 3
-4x + 6 = 3x - 3
-4x = 3x - 9
-7x = -9
x = -9/-7
x = 9/7
Unit test Problem Becky tried to evaluate an expression step by step. \quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned} = = = 5 4 +7− 4 5 5 4 − 4 5 +7 0+7 7 Step 1 Step 2 Step 3 Find Becky's mistake.
Answer:
Becky's mistake was that she said [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex], while it's actually equal to [tex]-\frac{9}{4}[/tex].
Step-by-step explanation:
[tex]\quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned}[/tex]
Step 1 looks fine as she just rearranged the equation, keeping the negatives and positives right.
Step 2 is where she said that [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex]. This would only be true if we were multiplying one of the numbers by 0. So Step 2 was wrong.
Step 3 is right, as 0+7 = 7.
Hope this helped!
Answer:
step 2 is wrong
Step-by-step explanation:
Given the following formula, solve for t.
v=u+at
Answer: t= v-u/a
Step-by-step explanation: V=u-at
V-u=at
Subtract u from both sides
V-u=at
Divide both sides by a
v-u/a=at/a
v-u/a=t
Which equation is represented by the graph below?
Answer: A. y-In x-3
explanation:
A pair of dice is rolled. What is the probability that the sum is 11? Please show your work!
Answer:
2/36 or 1/18
Step-by-step explanation:
There are 36 possible outcomes (6x6).
Only 2 possibilities equal 11. (5+6 and 6+5).
So the probability is 2/36, or 1/18.
Decide whether the data table represents a linear function or an exponential function
Answer:
A
Step-by-step explanation:
Answer is a because the common difference is -9
Answer:
the data represent a linear function because there is a common difference of -9
Step-by-step explanation:
Please answer it now in two minutes
Answer:
[tex] C = 28.9 [/tex]
Step-by-step explanation:
Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.
Apply the trigonometric ratio formula to find m < C.
Adjacent side = 7
Hypotenuse = 8
Trigonometric ratio formula to apply would be:
[tex] cos(C) = \frac{7}{8} [/tex]
[tex] cos(C) = 0.875 [/tex]
[tex] C = cos^{-1}(0.875) [/tex]
[tex] C = 28.9 [/tex]
(To nearest tenth)
(50000)^2×(0.00002)^3\(200)×(0.0000001)
Answer:
1
Step-by-step explanation:
concepts used is law of indices
where
(a^b)^c = a^bc
a^m/a^n = a^(m-n)
a^m *a^n = a^(m+n)
a^0 = 1
_______________________________________
50000)^2 = (5*10^4)^2 = 25*10^8
(0.00002)^3 = (2*10^-5)^3 = 8*10^-15
(0.0000001) = 10^-7
now
(50000)^2×(0.00002)^3\(200)×(0.0000001) = 25*10^8 * 8*10^-15/200*10^-7
= 200*10^8-15-(-7)/200 = 10^-7 +7 = 10^0 = 1
Thus,1 is the answer
determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use the pi key on your calculator.
a) the volume is _____
b) the surface area is ____
Step-by-step explanation:
The figure above is a cube since all it's sides are equal
Volume of a cube = l³
where l is the length of one side
From the question
l = 3yd
So the volume of the cube is
Volume = 3³
Volume = 3yd³
Surface area of a cube = l²
Surface area = 3²
= 9yd²
Hope this helps you
if x to the power of 2 = 10 what is the value of x?
Answer:
x² = 10
x = ±√10 (Take the square root of both sides)
Use the drawing tools to form the correct answers on the graph. Plot the vertex and the axis of symmetry of this function: f(x) = (x – 3)2 + 5.
Answer:
Axis of Symmetry: x = 3
Vertex: (3, 5)
Step-by-step explanation:
Use a graphing calc.
Answer:
3
Step-by-step explanation:
Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan's room?
Answer:
2x⁴+x³-x²+54x+56
Step-by-step explanation:
Given the expression length of dylan room = (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;
Area of rectangle = Length *Width
Area of the rectangle = (x² – 2x + 8)(2x² + 5x – 7)
Area of the rectangle = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)
= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)
expanding the bracket
= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56
Collecting the like terms;
= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56
= 2x⁴+x³-x²+54x+56
Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56
Answer:
2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room
Step-by-step explanation:
C on edge :)
Meryl needs to cut down 10.5 trees for every 5 cabins she builds. How many trees will she need to cut down if she builds 7 cabins?
Answer:
14.7 TreesStep-by-step explanation:
[tex]10.5 \:trees = 5 \:cabins\\x \: trees\:\:\:\:\:\:=7\:cabins\\\\5x = 73.5\\\frac{5x}{5} = \frac{73.5}{5}\\ x = 14.7 \: trees[/tex]