Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
Learn more about solving quadratic equations:
https://brainly.com/question/1214333
Someone someone help me answering this question please
Answer:
Step-by-step explanation:
=mean=sum of data /no of data
=2+3+4/3
=9/3
=3
You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
Please answer correctly this is 50% of my grade.....
Answer:
4y - 12
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
4y - 12
(to answer, type a 4 in the first box and a 12 in the other)
Step-by-step explanation:
Multiply 4 to the values inside of the parentheses:
4 * y - 4 * 3 =
4y - 12
Brainliest☻
Which relation symbol makes this number sentence true?
4/5 ___ 9/12
=
≠
Answer:
≠
Step-by-step explanation:
4/5 ≠ 9/12
≠ is the answer.
Answer:
≠
Step-by-step explanation:
First, find a common denominator
Let's use 60
Convert each fraction to a fraction with a denominator of 60
4/5 = 48/60
9/12 = 45/60
48/60 ≠ 45/60 so 4/5 ≠ 9/12
Look at the two temperatures. How much have they changed by?
4 degrees to -10 degrees
Answer:
[tex] \displaystyle 14[/tex]
Step-by-step explanation:
we are given two temperature
4 degrees and -10 degrees
since it says to figure out the changed
substract
[tex] \displaystyle 4 - ( - 10)[/tex]
remove parentheses and change its sign
[tex] \displaystyle 4 + 10[/tex]
simplify addition:
[tex] \displaystyle 14[/tex]
and we are done!
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator. -135^{\circ}−135
Answer:
Step-by-step explanation:
Let's take a look at the given angle 135°
The sketch of the angle which corresponds to [tex]-\dfrac{3\pi}{4}[/tex] unit circle and can be seen in the attached image below;
The trigonometric ratios are as follows for an angle θ on the unit circle:
Trigonometric ratio related ratio on coordinate axes
sin θ [tex]\dfrac{y}{1}[/tex]
cos θ [tex]\dfrac{x}{1}[/tex]
tan θ [tex]\dfrac{y}{x}[/tex]
csc θ [tex]\dfrac{1}{y}[/tex]
sec θ [tex]\dfrac{1}{x}[/tex]
cot θ [tex]\dfrac{x}{y}[/tex]
From the sketch of the image attached below;
The six trigonometric ratio for 135° can be expressed as follows:
[tex]sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}[/tex]
[tex]sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}[/tex]
[tex]cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}[/tex]
[tex]cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= 1[/tex]
[tex]csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}[/tex]
[tex]sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\ sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}} \\ \\ sec = - \sqrt{2}[/tex]
[tex]cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\ cot(-\dfrac{3 \pi}{4})= -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\ cot (-\dfrac{3 \pi}{4}) = 1[/tex]
Find the interquartile range of the data. 19, 11, 15, 10, 20, 15, 28, 22, 17 IQR
Answer:
Interquartile Range: 8
Step-by-step explanation:
25th Percentile: 13
50th Percentile: 17
75th Percentile: 21
So the answer must be 8
Hope this helps :)
for triangle ABC find the measure of angle A.
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
Find the Area of the Triangle
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
What are the solutions to the quadratic equation 4x2 + 28x = 0?
Answer:
x is 0 or -7
Step-by-step explanation:
[tex]4x^{2} +28x=0\\4x(x} +7)=0\\4x=0 x=0\\x+7=0\\x=-7[/tex]
Answer:
x = {-7, 0}
Step-by-step explanation:
4x^2 + 28x = 0
Divide both sides by 4
x^2 + 7x = 0
Factor out x
x(x + 7) = 0
---------------------------
From the zero product rule
x = 0
and
x + 7 = 0
subtract 7 from both sides
x = -7
x = {-7, 0}
what point has coordinates (3 1/2, 1)
A. Point J
B. Point M
C. Point N
D. Point O
Answer:
The answer is B Point M
Hope this helps as well! :)
Step-by-step explanation:
Help pls quick and ty!
Answer:
4a. True
4b. True
4c. False
Step-by-step explanation:
Answer:
true
true
false
Step-by-step explanation:
i dont think i need an explanation right?
A rectangular parking lot has a perimeter of 88 meters. The length of the parking lot is three times the width. Find the length and the width.
Answer:
Length = 33 m
Width = 11 m
Step-by-step explanation:
l = 3w
2l + 2w = 88
l + w =44
Subsitiute for l
3w + w = 44
4w = 44
w = 11
l = 3(11)
l = 33
Which statement describes the solution(s) to the system of equations -6x -3y =12 and -12x -6y= -24?
A. The system has a solution of (-2, -1)
B. The system has a solution of (3, -2)
C. The system has no solution.
D. The system has infinitely many solutions.
Answer:
C
Step-by-step explanation:
i had the same question on my test lol
please help me asap !!!!!!
Answer:
D
Step-by-step explanation:
Pretty sure its D
Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation
Answer:
14800
Step-by-step explanation:
Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]
Using the formula above, our equation will look like this:
[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]
145 + 225 = 370
370/2 = 185
185 * 80 = 14800
PLZ GIVE BRAINLIEST
A frog is sitting on the ground when he is scared by a big dog. His movement is
modeled by the equation h = -16t2 + 6t where h is the frog's height at any
given time, t. How many seconds until the frog is back on the ground?
0.5 seconds
1.5 seconds
2 second
1 second
Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male longtailed finches. Here are the data:
Weight Tail Length
20.5 82.5
19.1 82.5
15.9 67
16.7 70.5
15.7 73.5
The value of the linear correlation coefficient between weight and tail feather length is approximately : _________
Answer:
Step-by-step explanation:
it's about 18, as per the graph
Please answer these two question for me quick
Answer:
wait for a second
Step-by-step explanation:
will help you
Kayla read 12 1/2 pages on Friday. she did 3/4 of her reading before dinner. how many pages did she read before dinner (equation)
Answer:
Number of pages Kayla read before dinner = [tex]9\frac{3}{8}[/tex] pages
Step-by-step explanation:
Given:
Total number of pages Kayla read on Friday = [tex]12\frac{1}{2}[/tex] = 25/2 pages
Number of pages Kayla read before dinner = [3/4][Total pages she read]
Find:
Number of pages Kayla read before dinner
Computation:
Number of pages Kayla read before dinner = [3/4][Total pages she read]
Number of pages Kayla read before dinner = [3/4][Number of pages Kayla read before dinner]
Number of pages Kayla read before dinner = [3/4][25/2]
Number of pages Kayla read before dinner = 75/8
Number of pages Kayla read before dinner = [tex]9\frac{3}{8}[/tex] pages
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
Chelsea is reading a 250-page book that is divided into five chapters.
Number of Pages per Chapters what is the present of the books pages in chapter 4
Answer:
28%
Step-by-step explanation:
The bar graph shows that chapter four has 70 pages. In order to find percentage, multiply or divide the denominator until 100
70/250
÷ 10
7/25
x4
28/100
28%
Chapter 4 contains 28% of the book's pages
A line has a slope of 8 and a y -intercept of 5. What is its equation in slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:it’s abc
4. Two cylinders have dimensions in the ratio of 2:3. The smaller cylinder has a surface area of 16 cm.
What is the surface area of the larger cylinder?
Answer:
(cross multiply)
2:3
16:X
2X=16×3
2x=48
x=48÷2
x=24
ΔCDE is reflected over the y-axis. What are the vertices of ΔC'D'E' ?
Answer:
The y coordinates will remain the same. Meanwhile, the x coordinates will be the opposite.
Step-by-step explanation:
Here's an example, because no picture was included. If point C was located at (3, 5), point C' would be at (-3, 5).
Hope this helps!! :)
Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
A. fraction 1 over 3 whole squared m2
B. fraction 1 over 3 whole cubed m2
C. fraction 1 over 3 multiplied by 2 m2
D. 2 multiplied by fraction 1 over 3 m2
Answer:
The answer is A.
Step-by-step explanation:
Since it is a square we are finding the area of, we are multiplying two numbers. Which means 1/3 by the power of 2.
Calculate the magnitude and angle of the vector.
B = −2x+2y
Answer:
Magnitude: [tex]2\sqrt{2}[/tex], Angle: 135 degrees
Step-by-step explanation:
The magnitude of the vector ax + by is
[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]
The angle (in Standard Position) is 135 degrees.
See attached images.
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
Creating and solving formulas for geometric series:mastery test
Which expression gives the same results as...
Answer:
D. [tex]y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}[/tex]
Step-by-step explanation:
Let be [tex]y = \Sigma_{i = 0}^{4} \left[5\cdot \left(\frac{1}{3} \right)^{i}\right][/tex]. To find the equivalent expression we must use the following property:
[tex]y = c\cdot \Sigma_{i = 0}^{n} p(x) = \Sigma_{i=0}^{n} [c\cdot p(x)][/tex] (1)
Based on this fact, we find the following equivalence:
[tex]y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}[/tex]
Hence, the correct answer is D.