True or false, f(x) is a function
Answer:
Step-by-step explanation:
True!!
rationalise the denominator of (6+root3)(6-root3) over root33
Answer:
√33
Step-by-step explanation:
In the image .
The expression (6 + √3) (6 - √3) / √33 upon rationalizing the denominator gives √33.
What is Square Root?Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.
The given expression is (6 + √3) (6 - √3) / √33
We have the identity,
(a + b) (a - b) = a² - b²
∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33
= (36 - 3) / √33
= 33 /√33
Multiplying numerator and denominator by √33,
(6 + √3) (6 - √3) / 33 = (33 × √33) / (√33 × √33)
= 33√33 / 33
= √33
Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.
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Subtract 7b(2a 2 +5a-7) from (7a 2 -a+3 )-3b(6a 2 -b+3)
Answer:
[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]
Step-by-step explanation:
[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]
Substraction
[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]
The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
Answer:
5x+3x=8x
8x = 32
x=32/8 = 4
boys are 4 x 5 = 20
girls are 4 x 3 = 12
Step-by-step explanation:
Add the ratios together: 5 + 3 = 8
Divide total students by 8:
32 / 8 = 4
Multiply each ratio by 4 to find the number of each:
Boys = 4 x 5 = 20
Girls = 3 x 4 = 12
There are 20 boys.
The height in feet of a squirrel running up and down a tree is a function of time in seconds. Here are statements describing the squirrels movement during four intervals of time Match each description with a statement about the average rate of change of the function for that interval. The squirrel runs up the tree
Answer:
answer choices?
Step-by-step explanation:
John is 1.6 m tall. robbin is 156 cm tall what is the ratio of johns' height to robbins height?
Answer:
johnns height 4cm to Robin's height
The ratio of John's height to Robin's height is 20:19.
To find the ratio of John's height to Robin's height, we need to convert their heights to the same unit of measurement. Let's convert Robin's height from centimeters to meters:
Robin's height = 156 cm = 156/100 m = 1.56 m
Now that both heights are in meters, we can calculate the ratio:
John's height: Robin's height = 1.6 m : 1.56 m
To simplify the ratio, we can divide both heights by the same value:
1.6 m : 1.56 m = (1.6/0.08) m : (1.56/0.08) m = 20 : 19
Therefore, the ratio of John's height to Robin's height is 20:19.
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help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(1, 7) (2, 10) (3, 5) (4, 7) (5, 9) hope that helps
Dan has £100. Colin takes £. How much is left
Answer:
Maybe 99£
Step-by-step explanation:
Please give me brainliest
Answer:
i think 99 because theres no number after the symbol
Step-by-step explanation:
Write as an exponent with the base of b:
[tex](b^{n})^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {b}^{n \times 4} = {b}^{4n} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please help with the attatched!
Answer: a + b = 40
[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]
because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]
=> a = 51
b = -11
=> a + b = 51 -11 =40
Step-by-step explanation:
Answer:
[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]
a = 51
b= -11
The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented by y=100/1+99e^-0.89x. Which statements about the scenario are true? Check all that apply.
Answer:
A, B, and C
Step-by-step explanation:
brainliest for right answer
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of C'? (Answer as an ordered
pair without spaces)
Answer:
C' (4,-6)
Step-by-step explanation:
Any point being reflected over the x-axis will undergo the following transformation:
(x, y) --> (x, -y)
(4, 6) --> (4, -6)
The coordinates of C',
C(4,6) → C'(4, -6).
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).
If it is reflected over the x-axis,
The reflection rule:
(x, y) → (x, -y)
The coordinates of C',
C(4,6) → C'(4, -6).
Therefore, the image point of C is C'(4, -6).
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The shape below has both reflectional and rotational symmetry true or false
Answer:
False
Step-by-step explanation:
This shape does not have reflectional symmetry because you can't draw a line have both sides look identical.
Answer:
False
Step-by-step explanation:
sure it has Rotational but a Reflection no
help, please for 20 points
9514 1404 393
Answer:
salt, super clean, pepper, washing powder
44oz drink, popcorn, 32oz drink
Step-by-step explanation:
The number of ounces can be found by dividing the price by the price per ounce:
3.60/(0.30/oz) = 12 oz . . . salt
8.80/(0.11/oz) = 80 oz . . . super clean
6.72/(0.42/oz) = 16 oz . . . pepper
7.80/(0.13/oz) = 60 oz . . . washing powder
__
3.52/(0.08/oz) = 44 oz . . . 44oz drink
9.00/(0.18/oz) = 50 oz . . . popcorn
1.92/(0.06/oz) = 32 oz . . . 32oz drink
—16t^2 + 64t + 3
Please help as soon as possible 33 points if you do it!!
Answer:
51t^3
Step-by-step explanation:
64+3=67
67 +(-16)=51
t^2 +t= t^3
now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3
Central City High's basketball team will be entering the playoffs at the end of their regular season. There will be 3 other teams in the playoffs, with season average scores of 87, 92, and 119. Central City High has played 7 games with an average score of 91. What score range could they have in their eighth and last regular season game to have the second highest season average score in the tournament?
Answer:
99<x<315
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
edg. 2021
what must be considered in transplanting verbal phrases to mathematical phrases???
Answer:
addition, subtraction, division, multiply
Is 12 even or odd? Pick you choice
Answer:
Even
Step-by-step explanation:
Is this true or false? Ill give brainliest
i think true because 0,4 on there is correct and so is 2,0
3x + 12 – 6x ≤ -9 Solve, graph, and express the following inequalities in interval notation.
The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
3x + 12 – 6x ≤ –9
Simplify the equation, then the value of 'x' is calculated as,
3x + 12 – 6x ≤ –9
6x – 3x ≥ 12 + 9
3x ≥ 21
x ≥ 21 / 3
x ≥ 7
The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.
The solution is shown on the number line.
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Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days. Each day they found 9 shells. How many fewer shells did they find this year than last year?
Answer:
Step-by-step explanation:
Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63
Number of shells found this summer: 63
Number of shells found fewer this year than last year: 152 - 63 = 89
Hence, Jon’s family found 63 fewer shells than last year
Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
Let x be the number of shells they find this year than last year.
The value of x can be found as follows:
x = 152 - 7×9
x = 152 - 63
x = 89 shells
Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.
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PLEASE HELP 20 POINTS...PLEASE HELP
Answer: the slope of this line is 2/3
Step-by-step explanation:
If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.
Answer: -2/3
rises by 2 and runs by 3
using points (0,2) and (-3,3)
I hope this is good enough:
1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?
Answer:
There are 4 possible scenarios where given relation could not be a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
Step-by-step explanation:
From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
2b+ 9r use b=2 and r=7
Answer:
67
Step-by-step explanation:
2b+9r
2(2)+9(7)
4+63
67
Answer:
67
Step-by-step explanation:
2(2)+9(7)
4+63=67
Have a great day
cal d gradient B(4,-7), c(-6-5) and d two point find d gradient
Answer:
d = - 1/5
Step-by-step explanation:
slope form: m= y2-y1/x2-x1
m= -5-(-7)/-6-4
m= 2/-10
m= - 1/5
Denise wants to cover a 21.75 square foot wall with weathered wood. If each box of weathered wood contains 1.5 square feet of wood, how many boxes of weathered wood does she need?
Answer: 15 boxes
Step-by-step explanation:
From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.
The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:
= 21.75/1.5
= 14.5
= 15 boxes approximately
Giving brainiest explain answer
Answer:
A.) -5
Step-by-step explanation:
Slope Formula ---> [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] m = slope
[tex]m = \frac{2 - (-3)}{-2 - (-1)}[/tex]
Eliminate negatives:
[tex]m = \frac{2 + 3}{ -2 + 1}[/tex]
Solve:
[tex]m = \frac{5}{-1}[/tex]
Simplify:
[tex]m = -5[/tex]
The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions of a football field?
Given:
Perimeter of a football field = 920 feet.
The width is 60 feet more than one-third of the length.
To find:
The dimensions of a football field.
Solution:
Let the length of the field be x.
Then, width = [tex]\dfrac{1}{3}x+60[/tex]
We know that,
[tex]Perimeter = 2( length + width)[/tex]
[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]
[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]
[tex]920 =\dfrac{8}{3}x+120[/tex]
Subtract both sides by 120.
[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]
[tex]800 =\dfrac{8}{3}x[/tex]
Multiply both sides by 3.
[tex]2400 =8x[/tex]
Divide both sides by 8.
[tex]300 =x[/tex]
Now,
[tex]Length = 300\text{ feet}[/tex]
[tex]Width=\dfrac{1}{3}(300)+60[/tex]
[tex]Width=100+60[/tex]
[tex]Width=160\text{ feet}[/tex]
Therefore, the length and width of the football field are 300 feet and 160 feet respectively.
Angle M and angle R form a supplementary angle.
The measure of Angle R is 40+2x.
The measure of angle M is 13x.
What is the value of x
Answer:
[tex]x = 9.33(appx)[/tex]
Step-by-step explanation:
If two angles form an supplementary angle, their sum will be 180°.
In the question , angleM & angleR form a supplementary angle.
[tex] = > 13x + 40 + 2x = 180[/tex]
[tex] = > 15x + 40 = 180[/tex]
[tex] = > 15x = 180 - 40 = 140[/tex]
[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]
Which expression is equivalent to StartFraction negative 18 a Superscript negative 2 Baseline b Superscript 5 Baseline Over Negative 12 a Superscript negative 4 Baseline b Superscript negative 6 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
A. StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
B. StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
C. StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
D. StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction
Answer:
B
Step-by-step explanation:
I just took the test
Answer:
A.
Step-by-step explanation: