Answer:
The factors of given quadratic equation
[tex]x = \frac{9}{15} and x = -2[/tex]
Step-by-step explanation:
Explanation:-
Given quadratic equation 15x² +39 x -18 =0
The factors of 270 = 30 × 9
The quadratic equation 15x² +39 x -18 =0
⇒ 15 x² +30 x-9x -18=0
⇒ 15x(x+2) -9( x+2) =0
⇒( 15x -9)(x+2) = 0
15x - 9=0 and x+2 =0
15 x =9 and x = -2
[tex]x = \frac{9}{15} and x = -2[/tex]
What is the absolute value I15I
Answer:
its 15
Step-by-step explanation:
I need help please, been stuck on this question.
Answer:
D) [tex]\frac{1}{6}[/tex]
g¹(1) = [tex]\frac{1}{6}[/tex]
The inverse of the function [tex]g(x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that f(x) = (2x+1)³
Let y = (2x+1)³
[tex]y^{\frac{1}{3} } =2x+1[/tex]
[tex]2x = y^{\frac{1}{3} } -1[/tex]
[tex]x = \frac{y^{\frac{1}{3} }-1 }{2}[/tex]
Step(ii):-
y = f(x) ⇒ x = f⁻¹ (y)
⇒ [tex]f^{-1} (y) = \frac{y^{\frac{1}{3} }-1 }{2}[/tex]
[tex]f^{-1} (x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]
The inverse of the given function
[tex]g(x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]g^{l} (x) = \frac{1}{2} X \frac{1}{3} x^{\frac{1}{3} -1}[/tex]
[tex]g^{l} (x) = \frac{1}{6} x^{\frac{-2}{3} }[/tex]
Final answer:-
Put x=1
[tex]g^{l} (1) = \frac{1}{6} 1^{\frac{-2}{3} } = \frac{1}{6}[/tex]
10 minutes is 40% of __________ minutes.
Answer:
That would be 4 minutes
Step-by-step explanation:
Think of 10 as 100%
1 would be 10
2 would be 20
3 would be 30
And so on and so forth
Hope this helps (:
Answer:
it is 25 40% of 10 is 25
Step-by-step explanation:
you do 10/40%=25.
pls give me brainlyest pls need it
are ogres like onions?
Answer:
Yes they have layers
Step-by-step explanation:
Ogre
Layers
like
onion
Tim and Joey share a 20-ounce box of cereal. By the end of the week, Tim has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answer:
The answer is 2 ounces
Step-by-step explanation:
h(x)=4/x-5
What is the domain of h?
Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
Please help :(
To multiply a sum or difference by a number, multiply each
number in the sum or difference by the number ____________ the
parentheses.
Options:
inside
outside
above
below
Answer:
Outside
Step-by-step explanation:
From what I see, your question might look like this a(b +/- c)
"a" would be on the outside.
the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7
Toni's grandmother is 3 years more than 6 times Toni's age. The sum of their ages in years is 87. Which equation can be used to find each of their ages?
Answer:
87 divided by 36= 2.41
Step-by-step explanation:
Answer: 6y + y + 3 = 87
Step-by-step explanation:
Toni is 6y+3, there grandmother is y, the sum is all together. 6y + 3 + y, and rearrange it.
Can anyone help me out
A car goes 50 miles in 40 minutes. What is the speed of car in miles per minute?
Answer:
1.25miles per minute
Step-by-step explanation:
Answer:
Use the formula Speed=distance/ time. In this case you dont need to convert the time to hours so you would do 50/40 which equals 1.25 miles per minute. :)
Step-by-step explanation:
In the diagram what is sin(x) 
Answer:
8/15 or 0.5333 to nearest ten thousandth.
Step-by-step explanation:
sin x = opposite side/ hypotenuse
= 8/15.
What are the angles sizes
Who is the protagonist?
A. the magician
b. Aladdin
c. the princess
D. the tailor
Answer:
it is a) the magician
Step-by-step explanation:
comment if its wrong mark me brainlest if it is right
Find two unit vectors orthogonal to both given vectors i + j + k and 5i + k.
Answer:
[tex]\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex] and [tex]-\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex]
Step-by-step explanation:
The two vectors are
[tex]a=i+j+k[/tex]
[tex]b=5i+k[/tex]
Unit vector is given by
[tex]\dfrac{a\times b}{|a\times b|}[/tex]
[tex]a\times b=\begin{vmatrix} i & j & k\\1 & 1 & 1\\5 & 0 & 1\end{vmatrix}\\ =i(1-0)-j(1-5)+k(0-5)\\ =i+4j-5k[/tex]
[tex]|a\times b|=\sqrt{1^2+4^2+(-5)^2}=\pm\sqrt{42}[/tex]
[tex]\dfrac{a\times b}{|a\times b|}=\dfrac{i+4j-5k}{\sqrt{42}}\\\Rightarrow \dfrac{a\times b}{|a\times b|}=\pm\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex]
The two unit vectors that are orthogonal to both given vectors is [tex]\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex] and [tex]-\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex].
Sarah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she flips a coin, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
Answer:
Step-by-step explanation:
Total outcomes: 2(5)(6)
= 60
Coins, heads, or tails are the practice of flinging a coin through into the air and checking what side shows whenever it lands, to choose between two possibilities, heads or tails, that are occasionally used for trying to settle conflicts between different parties.
The party which calls the coin's side wins.We find it because when we turn a coin very often, humans get half the heads and half the tails. The chances of swinging the head are [tex]\bold{\frac{1}{2}}[/tex], and the chances of swinging the tail are [tex]\bold{\frac{1}{2}}[/tex].Total outcomes: [tex]\bold{2 \times 5 \times 6 = 60}[/tex]
So the final answer is "60".
Learn more:
brainly.com/question/23567648
Fill in the blank.
The measure of center that is the value that occurs with the greatest frequency is the
The measure of center that is the value that occurs with the greatest frequency is the
Answer:
Mode
Step-by-step explanation:
Mode
Measure of centerThe center measure, which is the value that occurs with the greatest frequency, is the mode The mode is the most common value in a set of data values.A measure of center, also known as central tendency, is a single number that is used to describe a collection of numerical data.A measure of central tendency (measure of center) is a value that attempts to explain a set of data by determining the data set's central position (as representative of a "typical" value in the set).Find out more information about mode here:
https://brainly.com/question/11163338?referrer=searchResults
Please answer this correctly without making mistakes
Answer:
4 ft 11 in
Step-by-step explanation:
60 in = 5ft
68 in - 9 in = 59 in
59 in = 4 ft 11 in
13/x = 6/20 solve for x
The correct answer is
[tex] = \frac{130}{3} [/tex]
Jack pours 1/3 gallon of fruit juice in 1 and 1/2 minutes. Assume that he bores at a constant rate. What fraction of a gallon of fruit juice does he pour in one minute?
Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1 5/6
What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6 fruit jucie in one min
Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24
Answer:
-4,-5
Step-by-step explanation:
Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.
4(-24 - 4y) - 2y = -6
-96 -16y -2y = -6
-18y = 90
y = -5
Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4
Find the area of the following shape:
Answer:
Step-by-step explanation:
Area:=45
What is the slope of the coordinates (8,1) and (5,-2)
Answer:
I know this isn't the answer you'd like, but there's a graphing app called ''desmos'' and you can enter the equation in there and it gives you your answer.
Step-by-step explanation:
The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.
A) What is the constant of proportionality in this equation?
B) What information does the constant of proportionality provide us?
C) How many apples can you buy for $3?
Be sure to answer parts A, B and C. Make sure that you label each answer.
Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
[tex]c= 0.25n[/tex]
Solving (a): The constant of proportionality;
For an equation:
[tex]c=kn[/tex]
Where
k = constant of proportionality
By comparing: [tex]c=kn[/tex] to [tex]c= 0.25n[/tex]
[tex]k = 0.25[/tex]
Hence, the constant of proportionality is 0.25
Solving (b): What information does [tex]k = 0.25[/tex] gives.
It represents the unit rate.
So, it means that 1 apple costs $0.25
Solving (c): Number of apples for $3.
This means that [tex]c = 3[/tex]
Substitute 3 for c in [tex]c= 0.25n[/tex]
[tex]3 = 0.25n[/tex]
Make n the subject
[tex]n = \frac{3}{0.25}[/tex]
[tex]n = 12[/tex]
Find the perimeter of the following shape:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)
Answer:
need a picture hdhxhxhxhx
algebra what is 6a6 over 2a2=
Answer:
3a^4
Step-by-step explanation:
Simplify the expression.
Need help asap
Will make you brainlist
Answer:
y=1.3x-3
or
y=4/3x-3
Step-by-step explanation:
1.3x is the slope (change in between points)
-3 is the y intercept (the point on the y axis)
Nathan earned $63 for working 7 1/2 hours.. How much does Nathan earn per hour?
0 $8.40
O $7.20
$8.90
O $9.50
Answer:
$8.40
Step-by-step explanation:
We have to find the unit rate, so our equation is:
63 ÷ 7 1/2 = 8 2/5 or 8.4
So Nathan earns $8.40 per hour
Which of the following steps indicates the distributive property when solving -3(x+2)=21
Answer:
When you multiply -3 to x and +2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3(x+2)=21
Multiple -3 to (x+2)
-3x-6=21
then add 6 to 21
-3x=27
Divide by -3 to get an x