It is always helpful to rewrite a quadratic equation in standard form as a first step in solving it.
A. FALSE
B. TRUE
Answers
Answer:
A
Step-by-step explanation:
Now when I think of solving it, I think of finding the zeros. Now if you start with the form, for example:
[tex](x+3)(x-3)[/tex]
Then you can easily see the zeros are -3 and 3.
But if you start with the standard form:
[tex]ax^2+bx+c=0\\or\\x^2-9[/tex]
It will be harder to find the zeros and you would do the eqation or factor it.
So if your in the factored form don't go to standard to find the zeros.
The given statement is False.
What is a quadratic equation?An equation with highest degree two, is considered as a quadratic equation.
In standard form, the right side of an equation should be 0 and every component on the left side should be 1.
For example, x² = 4; to express this in standard form, move the number 4 to the left side of the equation, resulting in x² - 4 = 0.
If you are asked to find x in this circumstance, there is no need to write the equation in standard form; simply take this same real number of both of the equation's sides to find x.
Hence, it is not always necessary to write the quadratic equation in standard form then solve.
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Related Questions
A right triangle is shown. What is the value of x? Round to the nearest tenth.
Answers
Step-by-step explanation:
B²=a²+c²
12²=4.2²+c²
144=16.4+c²
144-16.4=c²
127.6=c²
√127.6=√c²
11.3=c
What is the interquartile range of this data 0, 5, 10, 15, 20,
Answers
Answer:
15
Step-by-step explanation:
The range from Q1 to Q3 is the interquartile range (IQR).
The interquartile range is the difference between the third and first quartiles.
The third quartile is 17.5.
The first quartile is 2.5.
The interquartile range = 17.5 - 2.5 = 15.
What are two ways the debt-to-gdp ratio can increase?
Answers
Answer:
GDP decreases and Debt increases
Step-by-step explanation:
Students were surveyed about their preference between dogs and cats. The following two-way table displays
data for the sample of students who responded to the survey.
Approximately what percent of students in the sample prefer cats?
Round your answer to the nearest percent.
48
Preference
Male
Female
TOTAL
Prefers dogs
36
20
56
Prefers cats
10
26
36
No preference
2
6
8.
TOTAL
48
52
100
Not quite!
Try again. Get help or skip for now
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Answers
explained 36/100= 36%
Jaws purchases 15 packages of baseball cards each package contains six cards how many total cards are in the six packages
Answers
Answer:
90
Step-by-step explanation:
There are 15 packa of 6 cards in each pack. You could either do it the long way and count it out on paper or just times 15x6 and it equals 90.
In a school, there are 6 floors and on each floor there are 8 classrooms. In each classrooms there are 40 students. How many total students are there in a school?
Answers
4. What is the difference between 34.062 And 2.87
M. 31.192
P. 31.292
R. 32.192
S. 33.775
Answers
Giving brainliest to who will help!
Answers
Answer:
A C F G H J ARE THE FIGURES WHERE AB IS AN ALTITUDE
Write the equation
for this line in
slope-intercept form.
y = ?/?x+ ?
Answers
Answer:
y = 2/3x - 1 (or y = 2/3x + -1 to fit the graphic)
Step-by-step explanation:
Slope intercept form is written as (y = mx + b) where m is slope and b is the y intercept.
First you need to find the slope, m. We'll use the two points (-3, -3) and (3, 1)
m = (y2 - y1) / (x2 - x1)
m = (1 - (-3)) / (3 - (-3))
m = 4/6
m = 2/3
Next we need the y intercept, b. On the graph we can see that is -1 but we can also find it substituting the known slope and one point on the line for our values to solve for b. We'll use (3, 1) as the point.
y = mx + b
1 = 2/3 * 3 + b
simplify 2/3 * 3
1 = 2 + b
subtract 2 from both sides
-1 = b
Now we have all the values we need to plug into our slope intercept equation (m = 2/3, b = -1)
y = mx + b
y = 2/3x - 1
[tex]\sf{y=\displaystyle\frac{2}{3} x-1[/tex]
Solution:We are given two points: (3, 1) and (-3, -3).We can use these points to find the slope of the line:m=[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{-3-1}{-3-3} =\frac{-4}{-6} =\frac{2}{3} \longleftarrow\sf{slope}[/tex]Now, we need to identify the line's y-intercept.The y-intercept is the point where the graph touches the y-axis.Since the graph touches the y-axis at (0, -1) the y-intercept is equivalent to (0, -1) or -1.Hope it helps.
Do comment if you have any query.
Choose the x- and y- intercepts for the graph of –3x + 6y = –30.
Answers
Answer:
Some vocabulary we should know:
mx = slope while b is the y-intercept.
-3x = x
6y = y
BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.
- daintysword
1. Marlene is going on a camping trip with a group of friends. She brings 3 boxes of granola bars,
plus 3 extra bars. Robyn bring 2 boxes of granola bars and Wendy brings one box. They have a
total of 57 granola bars. If each box contains the same number of bars, how many bars are in
each box?
Answers
Answer:
13.5
Step-by-step explanation:
total boxes of granola is = 3 + 2 + 1
= 6 boxes
6 boxes = 57 bars
1 box = 57 / 6
1 box = 9.5 + 3
= 13.5 (ANS)
i hope my ans is correct if not i apologise.
Marlene brought 3 boxes AND 3 extra bars so you would have to subtract those from the total before dividing.
57-3=54
54/6=9
PLEASE HELP ITS DUE IN 10 MINUTES!!!!!
Answers
Answer:
76 Square Feet
Step-by-step explanation:
First, add all the numbers you see up. Your final answer of square feet will be the total you added up as a whole.
24+14+4+6+5+3+15+5= 76
Answer:
IM NOT. NNOT SURE BUT I THINK... the area may be 177? if i did it right, please check my equations though!
Step-by-step explanation:
so we first have to find the area of alllll the rectangles/squares in that weird squiggly shape
lets do the top
the width is 15 ft and the length is 5ft
so to find the area you have to do length times with so
A = lw
A = 15(5)
A = 75
so the first shape is 75
now lets do something real quick (im sorry this is all messed up infromation i have a dba (call) in like 16 mins and i gotta hurry. but illl come back if you need more explinations)
let first shape be f
let second shape be s
let third shape be t
let R be the area of the total shape
f + t + s = R
75 + t + s = R
now to find t
so the width would be 9ft and the length would be 8ft
A = lw
A = 9(8)
A = 72
75 + 72 + s = R
now to find s
the width is 5fth and the length is 6ft
A = lw
A = 6(5)
A = 30
now i think we add?
75 + 72 + 30 = R
75 + 102 = R
177 = R
i think the area is 177? (if i remeber how to do this correctly)
btw I will come back later and upload a pic of how i did it if you like. i must go now cause my teacher is gonna ask me civics questions and im so bad at that subject!!!!
Which statement best describes why the author of "Water Efficiency Strategies" organized the text into two main sections? Question 2 options: To show readers that thinking about the supply side is more important than the demand side. To show readers that thinking about both the supply side and the demand side are important for water efficiency. To follow the structure most informational texts use when organized into two main sections to show two sides of a topic. To use one section to describe the cause and the second section to describe the effect.
Answers
Answer:
the real awnser is b
Step-by-step explanation:
The statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
Efficient use of water is necessary so as to prevent the wastage of water. Although 3/4th of the earth is covered with water, the sustainable use of water is necessary so as to preserve the pure water for the future generations. The statement that best describes why the author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
Therefore, the statement that best describes why author of "Water Efficiency Strategies" organized the text into two main sections is to show readers that thinking about both the supply side and the demand side are important for water efficiency.
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Given 2 points, fill in the slope formula
and calculate the slope of the equation.
(4, 6); (7, 12)
Answers
Answer:
Slope formula:
RISE: y2(second y-coordinate) - y1(first y-coordinate)
____________________________________
RUN: x2(second x-coordinate) - x1(first x-coordinate)
y2 - y1 / x2 - x1
Plug in what we have in the order given in the formula:-
12 - 6 6
______ = ______, which simplifies to 2.
7 - 4 3
Therefore, 2 is the slope of this equation.
Answer:
Slope: 2
Step-by-step explanation:
Given points:
(4, 6)(7, 12)Slope formula: (y₂ - y₁)/(x₂ - x₁)
1. Substitue the coordinates of the points in the formula, which will determine the slope of the two points:
[Formula] Slope = (y₂ - y₁)/(x₂ - x₁)[Substitute] Slope = (12 - 6)/(7 - 4)2. Simplify the fraction. The quotient will be the slope of the line.
[Simplify] Slope = (6)/(3) = 2Thus, the slope of the line is 2.
Find the domain of the rational function.
f(x)=x−7/x+8
Enter your answer in interval notation.
Answers
The domain of the function in interval form is (-∞, -8) U (-8, ∞)
How to find the domain of a function?
The domain of a function is the point where the real value of the function exists.
Given the funciton
f(x) = x - 7/x+8
The function will exist on all real values except the point where the denominator is zero.
x + 8 = 0
x = -8
The domain of the function in interval form is (-∞, -8) U (-8, ∞)
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What is the value of x in the inequality 2-5x over -3 + 4<-x
Answers
Answer:
x = 0.5
Step-by-step explanation:
2-5x/-3+4 < -x is simplified to 2-5x/1<-x because -3+4 is 1.
every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected to be on the highway with 3600 vehicles
Answers
Answer:
900 trucks on a highway with 3600 vehicles
Step-by-step explanation:
3 out of 12 is also 1/4 (one quarter)
so 3600 ÷ 4 = 900 trucks on a highway with 3600 vehicles
hope this helps :))
Help please calculus
Answers
Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.
The box has a fixed volume of 252 cm³, so
xyz = 252
The surface area of the box is
2xy + 2xz + 2yz
and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by
C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)
or, omitting units and simplifying,
C (x, y, z) = 7xy + 6 (x + y) z
In the volume constraint, solve for any one variable; I'll do z.
z = 252/(xy)
Substitute this into the cost function:
C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)
Since this is now a function of 2 variables, I'll rewrite this as
C* (x, y) = 7xy + 1512 (1/y + 1/x)
Compute the partial derivatives of C and find the critical points:
∂C/∂x = 7y - 1512/x² = 0 ⇒ x² y = 216
∂C/∂y = 7x - 1512/y² = 0 ⇒ x y² = 216
It follows that
x² y = x y² ⇒ x = y
Just like before, we can think about C* as yet another function but only of 1 variable,
C** (x) = 7x² + 3024/x
Now find the critical points of C** :
dC**/dx = 14x - 3024/x² = 0 ⇒ x = 6
All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.
if two angles in a triangle are 50 and 40, it must be a/an___________________triangle.
Answers
Answer:
right triangle
Step-by-step explanation:
Hey there!
A triangle has to have three vertices that add up to 180 degrees
The angle measurments 50 and 40 are already given and added up, they equal 90 degrees
Now out of 180 degrees, 90 degrees is already shown
What you need to do now is try to find how much more degrees you need to get 180 degrees
As you know 180-90=90
So this means that the missing angle is 90 degrees
Now that we know this, we can find out what type of triangle this is
Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle
A right triangle is a triangle that has an angle that is equal to 90 degrees
So this triangle is a right triangle
could i have some super quick help? :((
optionally would appreciate some help with what i posted here as well
https://brainly.com/question/27457645
Answers
Answer:
a) y = (x - 3)²
b) y = x² - 4
c) y = (x + 2)²
d) y = x² + 5
e) y = (x + 6)² - 7
f) y = (x - 2)² + 5
Step-by-step explanation:
Parent equation: y = x²
Transformed equation: y = (x - h)² + k
h translates the parabola horizontally
If h > 0 then the translation is h units to the right.
If h < 0 then the translation is h units to the left.
If h = 0 then there is no horizontal translation.
k translates the parabola vertically
If k > 0 then the translation is k units up.
If k < 0 then the translation is k units down.
If k = 0 then there is no vertical translation.
a) The parabola moves 3 units to the right:
⇒ y = (x - 3)² + 0
⇒ y = (x - 3)²
b) The parabola moves 4 units down:
⇒ y = (x - 0)² - 4
⇒ y = x² - 4
c) The parabola moves 2 units left:
⇒ y = (x + 2)² + 0
⇒ y = (x + 2)²
d) The parabola moves 5 units up:
⇒ y = (x - 0)² + 5
⇒ y = x² + 5
e) The parabola moves 7 units down and 6 units left:
⇒ y = (x + 6)² - 7
f) The parabola moves 2 units right and 5 units up:
⇒ y = (x - 2)² + 5
#a
3 units right in x axisEquation
y=(x-3)²+0#b
4 units down in y axis
y=(x-0)²-4#c
2 units left in x axis
y=(x+2)²+0#d
5 units up in. y axis
y=x²+5#e
7units down in y axis and 6 units left in x axis
y=(x+6)²-7what statement best describes the relationship between the side lengths and angle measures of teo triangles
Answers
Answer:
Figure RST is congruent to figure R’S’T’.
Step-by-step explanation:
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e-
and only one correct answer. What is the probability that he answered neither of the problems correctly?
Do not round your answer.
0
X
?
Answers
Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.
Step-by-step explanation:
can someone please help me with this math problem please
Answers
how do you find the volume for a dome, pyramid, and a cylinder.
Answers
to find the volume of a cylinder you would do pi x radius^2 x height
i’m sorry but i’m not too sure about the dome but i know them two!
Add 2/9+4/9 Simplify your answer.
Answers
Answer:
2/3
Step-by-step explanation:
2/9+4/9=6/9
6/3=2 9/3=2
6/9=2/3
Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 450 minutes and the cost was $139.50. In July she used 870 minutes and the cost was $244.50. A) Express the monthly cost C as a function of x , the number of minutes of calling time she used.
Answers
Minutes=450
X=450:139.50$
In June C=$244.50
Minutes=870
X=minute:C
Please help me with this too , it would mean alot
Answers
Step-by-step explanation:
IF THE TEMPERATURE WAS -5° AT 5:00 am., WHAT WAS THE TEMPERATURE AT 9:00 am?
0.85 divided by 0.0527
Answers
Answer:
the answer is 0.062
Step-by-step explanation:
i hope this helps pls make as brainliest
Can I have help in the next few minutes?
there are 3 blanks i need the info for
Answers
Answer:
a) (2x + 1)(3x - 4)
b) 546
Step-by-step explanation:
a)
We need to try to factor the polynomial.
6(-4) = -24
6x² - 8x + 3x - 4 = 2x(3x - 4) + 1(3x - 4) =
= (2x + 1)(3x - 4)
b)
6(10)² - 5(10) - 4 = 600 - 50 - 4 = 546
Answer:
(a) when x = 2: width = 2 units and length = 5 units
(b) 546 units²
Step-by-step explanation:
Given expression:
[tex]6x^2-5x-4[/tex]
Part (a)
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]
Two numbers that multiply to -24 and sum to -5: -8 and 3
Rewrite [tex]b[/tex] as the sum of these 2 numbers:
[tex]\implies 6x^2+3x-8x-4[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 3x(2x+1)-4(2x+1)[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (3x-4)(2x+1)[/tex]
Therefore:
[tex]\implies x=\dfrac{4}{3}, \: x=-\dfrac{1}{2}[/tex]
As distance is positive, [tex]x > \dfrac{4}{3}[/tex]
Let [tex]x=2[/tex]
[tex]\implies (3(2)-4)(2(2)+1)[/tex]
[tex]\implies (2)(5)[/tex]
Therefore, possible dimensions of the rectangle are:
width = 2 units
length = 5 units
Part (b)
Substitute [tex]x=10[/tex] into the equation:
[tex]\begin{aligned}\implies 6(10)^2-5(10)-4&=600-50-4\\&=546\end{aligned}[/tex]
someone pls help will give brainliest to the first to answer
Answers
Answer:
Help with what, I may be able to help. :)