Answer:
f(-4) = -5
Step-by-step explanation:
Step 1: Define
f(x) = 2x + 3
f(-4) is x = -4
Step 2: Substitute and Evaluate
f(-4) = 2(-4) + 3
f(-4) = -8 + 3
f(-4) = -5
Answer:f(-4) = -5
Step-by-step explanation:
Step 1: Define
f(x) = 2x + 3
f(-4) is x = -4
Step 2: Substitute and Evaluate
f(-4) = 2(-4) + 3
f(-4) = -8 + 3
f(-4) = -5
Rationalise the denominator.
1
---------
5 - √2
Will give brainiest and loads of points.
Let's see what to do buddy...
_________________________________
To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :
[tex](5 -\sqrt{2}) [/tex]
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
Reminder :
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} \\ [/tex]
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
So we have :
[tex] \frac{1}{ 5-\sqrt{2} } \times \frac{ 5+\sqrt{2} }{ 5 +\sqrt{2} } = \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2}) } = \\ [/tex]
The other is in the photo.
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
⇛(5+√2)/23.
Step-by-step explanation:
Given,
1/(5-√2)
The denominator is 5-√2.
We know that
The rationalising factor of a+√b is a-√b.
Therefore, the rationalising factor of 5-√2 is 5+√2. To rationalise the denominator is 1/(5-√2), we multiply this by (5+√2)/(5+√2).
∴ 1/(5-√2)
= {1/(5-√2)}×{(5+√2)/(5+√2)}
= {1(5+√2)}/{(5)²-(√2)²} [∵(a-b)(a+b)=a²-b²]
= {1(5+√2)}/{(5*5)-(√2*2)}
= {1(5+√2)}/25 - 2
= {1(5+√2)}/23
= (5+√2)/23
Hence the denominator is rationalised.
Read more:
Similar Question
Rationalise the denominator of 1/√3 - √2...
https://brainly.com/question/24889054?referrer
Simplify 2(x+2)-(x+2)+4(x+2)-3(x+2)
Answer:
the answer is 2x+4
Step-by-step explanation:
could you also mark me as brainliest?
Below are the test scores for Ms. Brown's 1st and 2nd period math classes. Analyze the data and choose EACH correct statement:
1st period (Class A): 10, 15, 20, 25, 30, 35, 40
2nd period (Class B): 7, 12, 17, 25, 33, 38, 43
The standard deviation for Class A is 10
The standard deviation for Class B is 12.615
The mean (average) score for each class is the SAME.
The mean (average) score for each class is DIFFERENT.
The variance for Class A is 125.
The variance for Class B is 159.14.
choose each correct statement:
Class A has a greater spread.
Class B has a greater spread.
Based on the data, a score of 8 is more likely in Class B than Class A.
If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.
Answer:
The correct options are;
1) The mean (average) score for each class is the SAME
2) The variance of Class B is 159.14
3) Class B has a greater spread
4) Based on the data A score of 8 is more likely in class B than in class A
Step-by-step explanation:
The given data are;
For the 1st period (Class A), we have
The mean, μ = (10 + 15 + 20 + 25 + 30 + 35 + 40)/7 = 175/7 = 25
The standard deviation σ, is given as follows;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]
Where;
N = The number population size = 7
[tex]x_i[/tex] = The individual data values
Solving using Microsoft Excel formula STDEV.P gives, σ = 10
[tex]\sigma _A[/tex] ≈ 10
The variance = σ² = 10² = 100
For the 2nd period (Class B), we have
The mean, μ = (7 + 12 + 17 + 25 + 33 + 38 + 43)/7 = 175/7 = 25
The standard deviation σ, is given as follows;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]
Where;
N = The number population size = 7
[tex]x_i[/tex] = The individual data values
Solving using Microsoft Excel formula STDEV.P gives, [tex]\sigma _B[/tex] ≈ 12.615
[tex]\sigma _B[/tex] ≈ 12.615 > [tex]\sigma _A[/tex] ≈ 10, class B has greater spread
The variance = σ² = 12.615² ≈ 159.14
A score of 8 is more likely in class B than in class A due to the availability of data before and after the a score of 8
What is 366 divided by 6
Answer:
61
Step-by-step explanation:
366/6
36/6 = 6
6/6 = 1
So, 366/6 = 61
The Quotient is 21.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
366 divided by 6
So, the Division is
6 | 3 6 6 | 21
3 6
- ____
0 6
6
_____
0
Thus, the Quotient is 21.
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ5
What is the value of the expression 72 – 42?
Answer:
30
Step-by-step explanation:
Answer:
72-42=30
the correct answer is 30
(((((can you give me the crown please i need a crown)))))
(6y²2-9y+4) -(-7y²2+5y+1)
Answer:
13y
2
−14y+3
Step-by-step explanation:
Remove parentheses.
6{y}^{2}-9y+4+7{y}^{2}-5y-16y
2
−9y+4+7y
2
−5y−1
2 Collect like terms.
(6{y}^{2}+7{y}^{2})+(-9y-5y)+(4-1)(6y
2
+7y
2
)+(−9y−5y)+(4−1)
3 Simplify.
13{y}^{2}-14y+313y
2
−14y+3
Quadrilateral A has side lengths 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8,
and 10. Could one of the quadrilaterals be a scaled copy of the other? Explain.
pls help asap
Answer:
No.
Step-by-step explanation:
2, 3, 5, 6
4, 5, 8, 10
If all of the sides are scaled, that must mean it is possible to maintain a ratio of each side.
2/4 = 0.5
3/5 = 0.6
5/8 = ?
6/10 = 0.6
No.
Mr.Brookins asked his students to plot an interger on a number line. Which two students could have represented the same number?
Answer:
I need a picture
Step-by-step explanation:
i need help. Find the missing side lengths
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Which terms are like terms?
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Answer:
This is a screenshot of the correct answers!
Step-by-step explanation:
Which step has an incorrect instruction?
O Step 1
Step 2
Step 3
O Step 4
HELPPPPPP
Answer:
Step 3
Step-by-step explanation:
YO CAN ANYONE HELP ME WITH DIS MATH PROBLEM!!!!!!
Answer: 30 sandwiches
Step-by-step explanation:
you multply 4 times 10 and you get 40 then you buy 30 sandwiches becuase you have 40 bucks left
PLZZZ Help!!! The question is " find the zeros of each function by using the quadratic formula."
h(x) = 3x^2-3x+3/4
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Quadratic formula goes as follows [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex], there is no plus or minus (+/- thingy) sign on here but use both plus and minus on the numerator where I switched the signs.
The equation you give is [tex]3x^2-3x+\frac{3}{4}[/tex], to make it nice, multiply everything by 4 to cancel out the fraction and end up with [tex]12x^2-12x+3[/tex]. So a=12, b=-12, and c=3. Use these values and plug them into quadratic formula.
For the first formula I wrote, [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex], you get [tex]\frac{-(-12)+\sqrt{(-12)^2-4(12)(3)} }{2(12)}[/tex]= [tex]\frac{1}{2}[/tex].
For the second formula, [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex], you get [tex]\frac{-(-12)-\sqrt{(-12)^2-4(12)(3)} }{2(12)}[/tex]= [tex]\frac{1}{2}[/tex].
Always do quadratic formula for both plus and minus to get both zeros. However, in this case, the answer still remained positive. So the zero of this would be just [tex]\frac{1}{2}[/tex].
Donnavan is measuring the angles of a triangle. He measures the first two angles and gets 10° and 120°. What should be the measure of the third angle?
Answer:
Subtract 10 and 120 from 180 to get 50°
Step-by-step explanation:
hope this helps, have a nice day!! :D
Answer:50
Step-by-step explanation:
180-10-120=50
Andrew is evaluating his current financial position by totaling his monthly cash inflows and outflows. His cash inflows each month are $60 in allowance and $240 in wages from his part-time job working at the pet store. His cash outflows each month are $170 for his car payment, $70 in entertainment, and $45 for gas and food. How much, if anything, does Andrew have left over each month?
The ages of three sisters are consecutive integers with the sum of 180. How old are each of the brothers?
Write and solve and equation the above situation describes.
Answer:
Step-by-step explanation:
The age of three sisters are consecutive integers meaning they are only one year apart.
E.g. sister 1 = x yrs old
Sister 2 = (x + 1) yrs old
Sister 3 = (x + 2) yrs old
They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.
Sister 1 + sister 2 + sister 3 = 180
x + (x + 1) + (x + 2) = 180
So gather the like terms and you get:
3x + 3 = 180
Subtract 3 from both sides
3x = 180-3 = 177
Solve for x by dividing both sides by 3.
x = 177/3 = 59
So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.
Sister 1 = x = 59
Sister 2 = x + 1 = 59 + 1 = 60
Sister 3 = x + 2 = 59 + 2 = 61
John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet = 1 mile? Express your answer as a decimal to the nearest thousandths
Answer:
1.875 mi/h
Step-by-step explanation:
We first convert 5280 feet to inches which is 63360 inches. Next, we divide 63360 inches by 33 inches which is 1920. To find this in minutes, we do 1920/60 which equals 32 minutes. Last, we divide 60 by 32 and get 1.875. Therefore, John walks 1.875 miles per hour.
The Prefix milli and micro respectively mean?
Answer:b and c
Step-by-step explanation:
35/5 (fraction) + 3( 30 - 3^3 + 1)
Answer:
19
Step-by-step explanation:
Simplify the following:
35/5 + 3 (30 - 3^3 + 1)
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
7 + 3 (30 - 3^3 + 1)
3^3 = 3×3^2:
7 + 3 (30 - 3×3^2 + 1)
3^2 = 9:
7 + 3 (30 - 3×9 + 1)
3×9 = 27:
7 + 3 (30 - 27 + 1)
30 + 1 = 31:
7 + 3 31 - 27
| 2 | 11
| 3 | 1
- | 2 | 7
| 0 | 4:
7 + 3×4
3×4 = 12:
7 + 12
7 + 12 = 19:
Answer: 19
I haven't done these in a while so I'm stuck, please help :)
Answer:
-3 minus three
-8 minus eight
-10 minus ten
0 zero
2two
Answer:
-10, -8, -3, 0, 2
Step-by-step explanation:
:)
Help me, please!! I don't want to fail the test I might give you brainliest
Answer:
x=-4
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
Answer:
a (-4)
Step-by-step explanation:
i got you fam!
PLZ HELP JK what is 5+5 i know its hard but i need help fast
Answer:
10
Step-by-step explanation:
I mean if you need help then like you shouldn't be on here :/
i wasted 10 hours but i solved it is 10 because 1+1+1+1+1=5 and 1+1+1+1+1=5 add them you get 10 (づ。 ◕‿‿◕。) づ
Which theorem or postulate justifies this statement?
∠6≅∠13
a. corresponding angles postulate
b. alternate exterior angles theorem
c. alternate interior angles theorem
d. vertical angles theorem
e. linear pair postulate
Answer:
e. linear pair postulate
Step-by-step explanation:
3x + 4y -z = 1
3x-y-4z=-3
x+3y-3z = 9
*Use Elimination to solve*
HELP PLEASEE
The linear function m = 3a represents the amount m in dollars) of money a customer pays after buying a phone apps. Each customer can buy a maximum of three apps.
1. Identify the independent and dependent variables.
2. Is the domain discrete or continuous? Explain.
Answer:
1. The independent variable is a and the dependent variable is m
2. The domain is discrete
Step-by-step explanation:
let us explain the difference between discrete or continuous domains
Discrete domain: It is a set of input values that consists of only certain numbers in an interval.
Continuous domain: It is a set of input values that consists of all numbers in an interval.
In the question
m = 3a, where
m is the amount of money m in dollars
Each customer can buy a maximum of three apps
1.
∵ m is depended on the value of 3a
∴ m is the dependent variable ⇒ (output)
∴ a is the independent variable ⇒ (input)
∴ The independent variable is a and the dependent variable is m
2.
∵ The domain the input values
∴ Each customer can buy a maximum of three apps
→ That means it is a certain numbers
∴ The domain is discrete
what is the slope for a line that is parallel to the line that goes through (-2,3) and (1,-5)
Answer:
[tex]m=\frac{-8}{3}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-5-3}{1-(-2)}[/tex]
[tex]m=\frac{-8}{1+2}[/tex]
[tex]m=\frac{-8}{3}[/tex]
Parallel lines have the same slope.
A triangle has side lengths of 11 cm and 7 cm. Which could be the value of the third side, 19 cm or 17 cm ?
Answer:
17
Step-by-step explanation:
We are given the side lengths:
2
We check the triangle's inequalities if we add the third side of 20 cm:
3
Since one of the inequalities is not verified, the three given side lengths cannot form a triangle.
(Because the sum of two sides is equal to the third, we can say the triangle is degenerated to a segment.)
4
We check the triangle's inequalities if we add the third side of 15 cm:
5
Since all the three inequalities are verified, 15 can be the value of the third side.
RESULT - this one is 15 but the questions is move the 2 and it will give you 17
15 cm
Solve the following equation by combining like terms:
x+x+2+3x-6= 31
X=
Answer:
X= 7
Step-by-step explanation:
x+x+2+3x-6=31 Combine x's
2x+2+3x-6=31 Continue to combine x's
5x+2-6=31 Combine whole numbers
5x-4=31 Add 4 to both sides
5x=35 Divide by 5
x=7
Solve for r, E = v + Ir
Answer:
r = E - v
-------
l
Step-by-step explanation:
E stays, subtract v then divide that all by l
find the area of the triangle
Answer:
The answer is
[tex] \huge \boxed{54 \: \: {units}^{2} }[/tex]
Step-by-step explanation:
Area of a triangle is given by
[tex]A = \frac{1}{2} \times base \times height \\ [/tex]
From the question
base = 18
height = 6
So we have
[tex]A = \frac{1}{2} \times 18 \times 6 \\ = 9 \times 6 \\ = 54 \: \: \: \: \: [/tex]
We have the final answer as
54 units²Hope this helps you
Answer:
The answer is 54 units squared
Step-by-step explanation:
This is because this triangle is made up of two triangles. The smaller one is an isosceles triangle, meaning all sides are the same length. Sense all sides are the same length each side = 6 units squared. You subtract 6 from 18 to get the length of the other triangles side.
From there you multiply each side as if it were a square, then divide both answers by two (because two triangles make up a square). Add them up and then Ta-daa! 54!