Answer:
Sum = .5 Product = -3
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} - x - 6[/tex][tex]f(x) = (2x + 3)(x - 2)[/tex]Zeroes are [tex]x = \frac{ - 3}{2} \: and \: 2[/tex]Multiplies together the product is -3.-1.5+2=.5inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.
Answer:
General Equation of a Line
[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]
Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Answer:
The 13th term is 81x + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
[tex]\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots[/tex]
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:
[tex]\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}[/tex]
Find the common difference by subtracting the first term from the second:
[tex]d = (4x+4) - (-3x - 1)[/tex]
Distribute:
[tex]d = (4x + 4) + (3x + 1)[/tex]
Combine like terms. Hence:
[tex]d = 7x + 5[/tex]
The common difference is (7x + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
[tex]\displaystyle x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:
[tex]\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)[/tex]
To find the 13th term, let n = 13. Hence:
[tex]\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)[/tex]
Simplify:
[tex]\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}[/tex]
The 13th term is 81x + 59.
The equation of a function and its table of values has been given. Complete the table.
=−2+5
Answer:
X -2 - 1 0 1 2
Y 9 7 5 3 1
Step-by-step explanation:
Given equation:
y = -2x + 5
Find:
Complete table
Computation:
Missing table;
X -2 - 1 0 1 2
Y
y = -2x + 5
When x = -2
y = -2x + 5
y = -2(-2) + 5
y = 9
When x = -2
y = -2x + 5
y = -2(-1) + 5
y = 7
When x = -2
y = -2x + 5
y = -2(0) + 5
y = 5
When x = -2
y = -2x + 5
y = -2(1) + 5
y = 3
When x = -2
y = -2x + 5
y = -2(2) + 5
y = 1
X -2 - 1 0 1 2
Y 9 7 5 3 1
What is the median for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
6
7
10
12
12
13
Answer:
11
Step-by-step explanation:
If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.
6, 7, 10, 12, 12, 13
Cross off all numbers until you get to the middle:
6, 7, 10, 12, 12, 13
Find the mean of the numbers in the middle:
10 + 12 = 22
22 / 2 = 11
The answer is 11
Hope this helped.
Answer:
11
Step-by-step explanation:
10+12=22
22÷2=11
median is equal to the middle number after being arranged in ascending order.
Find the total surface area of this square based
pyramid.
10 in
5 in
Answer:
125in
Step-by-step explanation:
Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...
A = (1/2)bh
A = (1/2)(5 in)(10 in) = 25 in²
The square base has an area given by the formula ...
A = s² . . . . . where s is the side length
A = (5 in)² = 25 in²
The total area is the sum of the areas of the 4 faces and the base:
total area = 4 × (area of 1 face) + (area of base)
total area = 4 × (25 in²) + 25 in²
total area = 125 in²
2 + 16 + 48 factorizar
alguien que me ayude??
Answer:
2*6*11
Step-by-step explanation:
I am not sure what your question is because I think you are asking the factor of these numbers. so u do 2+16+48 which is 66 and if you prime factorize it then you get 2*6*11. so the answer is 2*6*11.
Please help me solve this short problem guys
Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
how many square metres of floor are there in a room of 6 metres
ig something like that
Answer:
36² metres
Step-by-step explanation:
I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6
Please answer this, I don't have much time left!
Answer
1 + 5 ÷ 5
This would equal 2, using BIDMAS.
A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?
Answer: Its B i just took the test
Step-by-step explanation:
Rewrite the expression in the form z^n.
z^3/4 x z^2
Step-by-step explanation:
here's the answer to your question
What's 672 divided by 32
Answer:
the answer is 21
Step-by-step explanation:
( a ) 2x + 3y − 5z ( ) 32
( b ) x + y + z ( ) 8
( c ) x
2 + 2xy + z
2
( ) 36
( d ) (x + y)(x + z) ( ) −1
( e ) −(x
2 − y
2
) ( ) −16
Answer:
Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.
One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.
Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.
Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.
In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of
nation:
Hey please help for 100 points! Has to be accurate and explained well though for brainiest!
Question: Identify the property of equality(addition, subtraction, multiplication, or division) that could isolate this variable:
k - 4.5 = 9.8
Answer:
addition property of equality
Step-by-step explanation:
k - 4.5 = 9.8
Add 4.5 to each side using the addition property of equality
k-4.5 +4.5 = 9.8+4.5
k = 14.3
Answer:
Addition Property of Equality
Step-by-step explanation:
k - 4.5 = 9.8
~Add 4.5 to both sides
k = 14.3
Best of Luck!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Can I please get help with these 2 questions about polygons
Answer:
a)139°
Step-by-step explanation:
two co interior angles make one opposite exterior angle
49+90=139°
Factor 15x3 – 5x² + 6x – 2 by grouping. What is the resulting expression?
find the missing side of the triangle.
5. What are the solutions of the equations x2 - 4x = -5
a. 2 + 2i
b. 2 - i
c. 2 + i.
d. 2 - 2 i
Answer:
b and c
Step-by-step explanation:
Given
x² - 4x = - 5
Solve by using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + 4 = - 5 + 4
(x - 2)² = - 1 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )
x = 2 ± i
Then solutions are
x = 2 - i → b
x = 2 + i → c
The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents the parabola? y2 = –2x x2 = –2y y2 = –8x x2 = –8y
Answer:
[tex]\boxed{x^2=-8y}[/tex]
Step-by-step explanation:
[tex](a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y[/tex]
The equation which represents the parabola is x^2 = 8y, the correct option is C.
What is vertex form of a quadratic equation?
If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
We are given that;
Focus of parabola= (0,–2)
Now,
The vertex is halfway between the focus and the directrix on a line perpendicular to them. Since the focus is at (0,-2) and the directrix is y = 2, we can find that:
The vertex is at (0,0), because it has an x-coordinate of 0 (same as the focus) and a y-coordinate of 0 (the average of -2 and 2).
p is equal to 2, because it is half of the distance between -2 and 2.
Now we can plug in these values into the formula:
(x - 0)^2 = 4(2)(y - 0)
Simplifying, we get:
x^2 = 8y
Therefore, the equation of the parabola will be x^2 = 8y.
Learn more about vertex form of a quadratic equation here:
https://brainly.com/question/9912128
#SPJ7
Find the endpoint/midpoint.Please hurry
Answer:
im not sure, but i have
Step-by-step explanation:
Answer:
Step-by-step explanation:
convert 8 1/10 into an improper fraction
Answer:
81/10
Step-by-step explanation:
the tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
the attachment is the table
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
What value of x is in the solution set of -2(3x + 2) >-8x + 6
Answer:
x >5
Step-by-step explanation:
-2(3x + 2) >-8x + 6
Distribute
-6x-4 > -8x+6
Add 8x to each side
-6x-4+8x > -8x+8x+6
2x-4 > 6
Add 4 to each side
2x-4+4 > 6+4
2x> 10
Divide by 2
2x/2 >10/2
x >5
Step-by-step:
-2(3x+2)>-8x+6. divided by 2,-3x-2>-4x+3. the solution set of -2(3x+3)>-8x+6 is {x/x>5}
Answer:
6
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer: Choice B
Open circle at 3. Shading to the right
========================================================
Work Shown:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
24 + 30 < 6x + 12x
54 < 18x
18x > 54
x > 54/18
x > 3
We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.
The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.
a. Find the domain.
b. What does the domain mean in this context?
Answer:
see below
Step-by-step explanation:
The domain is the values that the input takes
The values go from 0 to 7
0≤x≤7
This is the time from the initial launch until the object hits the ground
If BC = 5, DE = 9, and AB = 4, what is the length of AD?
7
8
7.2
7.5
There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
Need help on this activity!!
In this activity, you will rearrange and solve a rational equation and find and use the inverse of a rational equation.
As we’ve seen, for a circuit with two resistors arranged in parallel, we can calculate the total resistance in the circuit, , in ohms, with this equation.
Question 1
Part A
Question
Rewrite the equation to represent the resistance of resistor 2, , in terms of and .
Answer:
My best guess rn is the first option
Step-by-step explanation:
the last dude had it close but it was basically flipped as you can tell.
The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]
We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]
First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]
[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]
Arrange all terms containing [tex]R_2[/tex] on one side
[tex]R_1R_2-R_TR_2=R_TR_1[/tex]
Factor out [tex]R_2[/tex] from the LHS
[tex]R_2(R_1-R_T)=R_TR_1[/tex]
Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]
[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]
Learn more about change of subject of formula here: https://brainly.com/question/343660
Expand the following
(x+2x)(2s-2t)
(m-n)²
(k+9)²
(4a-3b)(c+6d)
please check the attachment for solutions
Calcula el valor de “x” en:
5(3x – 4) – 17 = 5(x + 8) – 17
Answer: x = 6
Step-by-step explanation:
Sume 17 a ambos lados
5(3x-4)-17 + 17=5(x+8)-17 +17
Simplifica
5(3x-4)=5(x+8)
Expandir 5(3x -4) : 15x - 20
Expandir 5(x+8) : 5x +40
15x - 20 = 5x +40
Sume 20 a ambos lados
15x - 20 + 20 = 5x +40 +20
Simplifica
15x = 5x +60
Restar 5 de ambos lados
15x - 5x = 5x + 60 - 5x
Simplifica
10x = 60
Divide ambos lados entre 10
10x/10 = 60/10
Simplifica
x = 6
