Answer:
Yes, but only if a=0 or b=0Step-by-step explanation:
[tex](a+b)^2=a^2+b^2\\\\a^2+2ab+b^2=a^2+b^2\\\\2ab=0\quad\iff\quad a=0\ \ or\ \ b=0[/tex]
Answer:
Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands. If either a or b equals zero, then the sums would be the same. Since the square root of 0 is 0, adding it to a given radical. Also, adding zero to the radicand would not change the value
Step-by-step explanation:
The table represents a linear function. A two column table with six rows. The first row, x, has the entries negative 4, negative 2, negative 1, 1, 2. The second column, y, has the entries, negative 2, negative 10, negative 14, negative 22, negative 26. What is the slope of the function? –8 –4 2 5
Answer:
m = - 4
Slope of function = - 4
Step-by-step explanation:
m = slope of function
Two points on slope = ( - 4 , - 2 ) , ( - 2 , - 10 )
m = ( y1 - y2 ) / ( x1 - x2 )
y1 = - 2
y2 = - 10
x1 = - 4
x2 = - 2
m = [ ( - 2 ) - ( - 10 ) ] / [ ( - 4 ) - ( - 2 ) ]
m = ( - 2 + 10 ) / ( - 4 + 2 )
m = 8 / - 2
m = - 4
Therefore:
Slope of function = - 4
The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:
Given Points:
[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]
To find:
slope (m)=?
Solution:
[tex]\bold{( - 4 , - 2 ) \ \ and \ \ ( - 2 , - 10 )}[/tex]
[tex]\to \bold{x_1=-4}\\\\ \to \bold{y_1= -2}\\\\\to \bold{x_2= -2}\\\\\to \bold{y_2= -10}\\\\[/tex]
Using formula:
[tex]\bold{slope\ (m) = \frac{( y_2 - y_1 )}{( x_2 - x_1 )}}[/tex]
[tex]\bold{=\frac{-10-(-2)}{-2-(-4)}}\\\\\bold{=\frac{-10+2}{-2+4}}\\\\\bold{=\frac{-8}{2}}\\\\\bold{=-4}\\\\[/tex]
Therefore, the slope is "- 4".
Learn more:
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2.2 units to the right of 0 horizontal number line
Answer:
2.2
Step-by-step explanation:
2.2 units to the right of zero indicates that the integer is positive on a horizontal number line.
0 + 2.2 = 2.2
Find the average rate of change for the given function from x
-1 to x = 4.0
Answer:
Free points
Step-by-step explanation:
Thank you a lot man for the free points. I really apreciate it.
Plz write it for me how u got it ❤️On paper then send it to me
Answer:
See below in bold.
Step-by-step explanation:
1. x^2 - 13x - 30
We need 2 numbers whose product is -30 and whose sum = -13.
They are -15 and + 2:
Answer is (x - 15)(x + 2).
2. 2x^2 + 4x - 126
First we can take 2 out to give:
2(x^2 + 2x - 63)
Now we need 2 numbers whose product is - 63 and sum = +2.
These are +9 and - 7 so
Answer is 2(x - 7)(x + 9).
3. -30x^3 + 3x^2 + 9x
First we can take out -3x to give
-3x(10x^2 - x - 3)
Now we want 2 numbers whose product is 10*-3 = -30 and whose sum is -1. They are -6 and +5 so we write the above as:
-3x(10x^2 + 5x - 6x - 3)
Now we factor the parentheses by grouping:
= -3x( 5x(2x + 1) - 3(2x + 1)
= -3x(2x + 1)(5x - 3) Answer.
The answer to the second part is 12x^2 - 13x - 21.
Part 3
1, 18.
2. 6.
3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2
= 5*(67) - 2(72) - 48
= 143.
4. (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)
= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9
= 8m^2 - 4m - 5
A = 8, B = 4 and C = 5.
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
8, 12, 15
10, 24, 26
12, 20, 25
15, 18, 20
Answer:
10, 24, 26
Step-by-step explanation:
The sides of a right triangle satisfy the equation a^2+b^2=c^2, where c is the longest length(the hypotenuse). If we plug in each of these groups of side lengths into the equation, we see that only 10, 24, 26 satisfies the equation
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
left 1 unit, up 5 units
right 1 unit, up 5 units
left 2 units, up 2 units
right 2 units, up 2 units
Answer:
left 1 unit, up 5 units
Step-by-step explanation:
First factor
g(x)=x^2+2x+6 = (x+1)^2+5
The standard transformation formula is
g(x) = a*f(bx-h) + k
which means
a=1, b=1,h=-1, k=5
or
h=-1 means translate left one unit
k=5 means translate up 5 units.
Choose the first option: left 1 unit, up 5 units
Answer:
A
Step-by-step explanation:
Frank is going to plant d vegetable seeds in one garden and 4d + 4 vegetable seeds in another.
How many seeds is Frank going to plant?
Frank is going to plant seeds.
(Simplify your answer.)
Answer:
5d+4
Step-by-step explanation:
[tex]Total = d + (4d + 4)\\Total = 5d + 4[/tex]
Hope it helps ;P
PLEASE I REALLY NEED HELP What differences are there on the graph of f(x)=2x to the graph of h(x)=2x-3?
Answer:
The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis
Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?
Complete Question:
To create a bulletin board, Maryann is planning to stretch fabric from burlap sacks over cardstock. She collects 6 kg of burlap sacks. The area density of the burlap is 0.4 kg/m².
Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?
Answer:
To complete the bulletin boards for her friends, Maryanne should collect 6 kg of burlap more
Step-by-step explanation:
Mass of burlap sacks that Maryann collects = 6 kg
Area density of burlap = 0.4 kg/m²
Area Density = Mass / Area........(1)
The Area of bulletin board that can be made with the 6 kg of burlap sand can be calculated by using equation (1)
0.4 = 6 / Area
Area = 6/0.4
Area of bulletin board that can be made from 6 kg= 15 m² of bulletin board
The area of bulletin board that Maryann made for herself = 2 * 3 = 6m²
To make similar bulletin boards for her four friends, the total area of bulletin board made for her 4 friends = 6 * 4 = 24m²
To calculate the mass of burlap required to make a 24m² bulletin board, use equation (1)
0.4 = Mass / 24
Mass = 0.4 * 24
Mass = 9.6 kg
The mass of burlap used to make Maryann's bulletin board alone:
0.4 = Mass/6
Mass = 2.4 kg
Out of the 6kg that she got, she has used 2.4 kg for herself
The remaining mass of burlap = 6 - 2.4 = 3.6 kg
Therefore, to complete the bulletin board for her friend, she should collect (9.6 - 3.6) = 6 kg of bulletin more
What is the prime factorization of 71?
Answer:
Hello!
71 is a prime.
Step-by-step explanation:
Based on the concrete prime numbers and the information in the question, the prime factorization of 71
What is Prime factorization?Prime factorization is a term that is used to describe the methods of finding which prime numbers multiply together to make the original number.
In this case, given that the number 71 is a prime number which means it is only divisible by 1 and itself.
Therefore the prime factorization of 71 is simply 71.
Hence, in this case, it is concluded that the correct answer is 71.
Learn more about Prime Factorization here: https://brainly.com/question/18187355
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Give an example of a quadratic function that has zeroes at x=2 and x=4, and that takes the value 6 when x=3.
Answer:
An example of the quadratic function that has zeros at x = 2 and x = 4, and that takes the value 6 when x = 3 is f(x) = -6·x² + 36·x 48
Step-by-step explanation:
The general form of a quadratic function is f(x) = a·x² + b·x + c
Which gives;
When x = 3, f(x) = 6 which gives;
6 = a·3² + b·3 + c = a·9 + b·3 + c............(1)
The zeros of the function are x = 2 and x = 4 which gives
0 = a·2² + b·2 + c = a·4 + b·2 + c...............(2)
0 = a·4² + b·4 + c = a·16 + b·4 + c...............(3)
Subtracting equation (2) from (3) gives;
a·16 + b·4 + c - (a·4 + b·2 + c) = a·12 + b·2 = 0
b·2 = -a·12
b = -a·12/2 = -6·a
Substituting b = -6·a in equation (1) we have;
a·9 + b·3 + c = a·9 + (-6·a)·3 + c = 6
a·9 -18·a + c = 6
-9·a + c = 6
c = 6 + 9·a
Substituting b = -6·a and c = 6 + 9·a in equation (2), we get
0 = a·4 + b·2 + c = a·4 + (-6·a)·2 + 6 + 9·a = a·4 -12·a + 6 + 9·a
a + 6 = 0
a = - 6
b = -6·a = -6*(-6) = 36
c = 6 + 9·a = 6 + 9*(-6) = 6 - 54 = -48
The equation of the function is therefore, f(x) = -6·x² + 36·x 48.
There are 25 pupils in a class. The table shows information about their test results in maths and English. How many pupils had a higher level in maths than in English?
Answer:
12
Step-by-step explanation:
2+2+1+1+6=12
[tex]2 + 2 + 1 + 1 + 6 = 12[/tex]Please answer! I will mark brainliest for best answer :)
Answer:
5
Step-by-step explanation:
Number of players injured in a game count the other side
What is the value of the angle marked with x?
Answer:
116 degrees
Step-by-step explanation:
It is equal to the measure of the angle opposite of x.
Answer:
Since it a parallelogram opposite side is always the same so x=116 and to find out if it true just add each other and u will get 232 and when u find the other value it will add up 360 degree.
X=116
Step-by-step explanation:
What is the range of the function shown on the graph above?
Answer:
A.
Step-by-step explanation:
Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.
1) Point M divides line segment AB, in the direction from A to B. in a ratio of 4 to 9. What value on the number line
would indicate the location of point M?
Answer:
Point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Step-by-step explanation:
Two points A and B have been given on a number line.
Point A is at -3 and point B at 7.
Distance between these points AB = 7 - (-3)
= 7 + 3
= 10 units
Another point M divides the given segment AB in the ratio of 4 : 9.
Therefore, length of segment AM will be = [tex]\frac{4\times 10}{(4+9)}[/tex]
= [tex]\frac{40}{13}[/tex]
= [tex]3\frac{1}{13}[/tex] units
Now the position of point M will be at [tex](-3+3\frac{1}{13})[/tex] = [tex]\frac{1}{13}[/tex]
Therefore, point M will be located between 0 and 1 at [tex]\frac{1}{13}[/tex].
Which equation has no solution?
1. 4(x+3)+2x=6(x+2)
2. 5+2(3+2x)=x+3(x+1)
3. 5(x+3)+x=4(x+3)+3
4. 4+6(2+x)=2(3x+8)
Answer:
Number 3 does not have a solution
Step-by-step explanation:
explain the differences between an equation and an equality. how do those differences affect solutions.
Answer:. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Step-by-step explanation:
when x=4 and y=-3 evaluate 3x-2y
Answer:
18
Step-by-step explanation:
Plug in the values.
3(4) - 2(-3)
12 - - 6
12 + 6
= 18
Answer:
18
Step-by-step explanation:
[tex]3x - 2y \\ = 3 \times 4 - 2 \times (-3) \\ = 12 + 6 \\ = 18[/tex]
what are the points of intersection of -x^2+9x-3 and y=3x
Answer:
Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.
Alternatively, you can use substitution to solve for your answer.
Step-by-step explanation:
Triangle X Y Z is shown. If m∠X = 34° and m∠Z = 26°, what is m∠Y?
Answer:
given, triangle XYZ in which m of angle X=34°
angle Z= 26°
now,angle Y =?
we have,
AngleX + angle Y+ angle Z = 180°
or, 34°+angle Y +26°=180°
or, angle Y= 180°-60°
therefore, angle Y =120°.
hope it helped..
Answer:
Triangle X Y Z is shown.
If m∠X = 34° and m∠Z = 26°, what is m∠Y?
Answer:
m∠Y = 120°
Step-by-step explanation:
I just took the test and got 100% on Edge2021
Linear Equations HELP ASAP
Answer: D) y = -1/4x + 6
Step-by-step explanation:
First turn the equation into slope-intercept form: y = 4x + 6
For a line to be perpendicular to another line, it's slope must be the opposite reciprocal of the other perpendicular line. Thus, the slope of the perpendicular line is -1/4. As the y-intercept of the line is (0,6), the lines must intersect as (0,6). Thus, the other line must also have a y-intercept of 6. Thus, the answer is D.
Hope this helps <3
find the 7th term of the geometric progression which begins with -6250,1250,-250
Answer:
a₇ = - 0.4
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]
= - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4
Josh can paint a whole room in m hours while Kevin can paint a whole room in n hours. How many parts of the room can they paint in one hour if both of them worked together? Express in terms of m and n.
Work Shown:
Josh:
1 room = m hours
1/m room = 1 hour
Kevin:
1 room = n hours
1/n room = 1 hour
We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions
1/m + 1/n = n/(mn) + m/(mn) = (n+m)/(mn) = (m+n)/(mn)
The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.
4x - 1
2.
= x + 7
Can someone help please?
Answer:
6[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
4x-12 = x+7
4x-12+12 = x+7+12
4x = x+19
4x-x = x+19-x
3x=19
x = 6[tex]\frac{1}{3}[/tex]
And if we substitute the value of x into the equation 4x-12 = x+7,
we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.
Hope this helps :)
Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °
Answer:
y is equal to 50 degrees.
Step-by-step explanation:
The sum of the angles of a triangle is always 180 degrees. To find what y is, subtract 80 from 180 and divide the difference by 2. This will give you 50 degrees.
Answer:
y= 50°
Step-by-step explanation:
∠A =∠B = y. So, ΔABC is an isosceles triangle.
Sum of angles of triangle = 180
∠A + ∠B + ∠C = 180
y + y + 80 = 180 {add like terms}
2y + 80 = 180 {Subtract 80 from both sides}
2y + 80 - 80 = 180 - 80
2y = 100 {divide both sides by 2}
2y/2 = 100/2
y= 50°
I'm kind of unsure of my answer, please help me. I appreciate your answers.
Find two consecutive integers whose sum is 113. Which of the following equations could be used to solve the problem?
choices:
2 x + 1 = 113
[tex]x^{2}[/tex] + 1= 113
2 x = 113
2 x + 2 = 113
Answer:
We can call the numbers x and x + 1. Then we can write:
x + x + 1 = 113 which simplifies to 2x + 1 = 113.
Answer:
Hey there!
The correct answer would be x+x+1=113, or 2x+1=113.
Let the smaller number be x, then the larger number would be x+1
Thus, the sum of x and x+1 would be 2x+1.
We have that 2x+1=113.
Now, this is just a simple linear equation we have to solve.
Start by subtracting 1 to get 2x=112
Then, divide by 2 to get x=56
Since x=56, x+1 would be 57.
Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.
Hope this helps :)
an example that describes a situation which could be modelled by the equation M = 50 + 6d
Answer:
Cost of staying hotel with fixed charge of 50 and $6 for each day stay
where d is number of days of stay
M is total money charged by hotel.
Step-by-step explanation:
We have to describe a situation to fit into the given model.
model is M = 50 + 6d
it consist of two part
constant part 50
and variable part 6d which depends on value of d,
Let take M as money
d as days
in hotel, hotel service charge is fixed at 50
and for each day stay 6$ is charged.
Thus,
total money charged by hotel will be equal to sum of
fixed part 50
$6d for staying d days in the hotel
which can be modeled by given equation
M = 50 + 6d
Do 26 and if u want to do 27 too I’ll give Brainlynest
Answer:
26) translation: (x - 4, y + 3)
27) see down below
Step-by-step explanation:
26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).
27)
<1 = 135
<2 = 45
<3 = 45
<4 = x = 20
<5 = 135
<6 = 45
<8 = 135
Find the probability that a student earns a grade D or F
Answer:
P=.14 or 1/7
Step-by-step explanation:
P(d)=3/35
P(f)=2/35
P( D or F) = 3/35 + 2/35=
1/7 or .14