7x2+6=23x
a. What is the first step when solving this quadratic equation?
b. What are the solutions to the equation?
Answer:
x = 3, x = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
(a)
The first step is to subtract 23x from both sides, that is
7x² - 23x + 6 = 0 ← in standard form
(b)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × 6 = 42 and sum = - 23
The factors are - 21 and - 2
Use these factors to split the x- term
7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )
7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
for geometry:(
will give brainist to the correct answer!!!
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.
Rewrite;
2x - 3y = 24
-3y = -2x + 24
Divide both sides by -3
y = ⅔x - 8
Thus, the slope of 2x - 3y = 24 is ⅔.
Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.
Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.
Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Therefore:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
Rewrite in slope-intercept form.
Multiply both sides by 3
3(y + 7) = 2(x + 3)
3y + 21 = 2x + 6
3y = 2x + 6 - 21
3y = 2x - 15
Divide both sides by 3
y = ⅔x - 5
The temperature falls from 0 degrees to – 12.3 degrees in 3.5 hours. Which expression finds the change in temperature
per hour?
749
7 49
49 7
49
Answer:
3.514 degrees per hour
Step-by-step explanation:
To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)
y2-y1 / x2-x1
-12.3 - 0 / 3.5
3.514 degrees per hour
Mrs. Jones is creating a seating chart for the front row of her classroom. She has 10 possible students to place in the front row. If there are 30,240 different for the seating chart, how many seats are in the front row?
Answer:
5 seats
Step-by-step explanation:
if I'm getting the right idea, the seats are NOT enough
since the number of arrangement of 10 people in a row is
10! = 3628800 which is a lot larger than 30240.
---------------------------------------------------------------------------------------
Let number of seats be
10PX = 30240
[tex]\frac{10!}{(10-X)!}[/tex] = 30240
(10-X)! = [tex]\frac{10!}{30240}[/tex]
(10-X)! = 120
(10-X)! = 5!
10-X = 5
X = 5
Can someone just solve the problem please? it has to be an inequality in the equation
Answer:
(A) Let a represent the number of hours Cassie needs to work
(B) The inequality is 10 × a + 30 ≥ 140
(C) a ≥ 11
(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator
Step-by-step explanation:
The least amount Cassie needs for the graphing calculator = $140
The amount Cassey currently have saved = $30
The amount her neighbor offers for her to babysit = $10 per hour
(A) The definition of the variable is given as a = The number of hours Cassie needs to work
(B) The inequality that defines the situation is 10 × a + 30 ≥ 140
(C) Solving the inequality gives;
10 × a + 30 ≥ 140
10 × a ≥ 140 - 30
∴10 × a ≥ 110
a ≥ 110/10
∴ a ≥ 11
Which gives;
The number of hours Cassie needs to work = a ≥ 11 hours
(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.
Ms. Sloane earns an 8% commission on her total sales. In February, Ms. Sloane's total sales were $29,250. In March, Ms. Sloane's total sales were $32,725. How much more money, in dollars, did Ms. Sloane earn in commission in March than she earned in February? Enter your answer in the box. nos
Answer:
$278
Step-by-step explanation:
8% of 29,250 = 2340
8% of 32,725 = 2618
2618 - 2340 = 278
she earned $278 dollars more in march than in february.
Find the angle measure D FIRST ANSWER GETS BRAINIEST
Answer:
its 44
Step-by-step explanation:
180=46+90+x
180=136+x
44=x
pls help
(z-3)*(z+5)
Answer:
z^2 +2z-15
Step-by-step explanation:
hope this helped
A circular oil slick is expanding at a rate of 3m/min. How fast is the area of the oil slick changing when the diameter is 48 meters?
Answer:
[tex] 48\pi \:m/min[/tex]
Step-by-step explanation:
Diameter = 48 m
Therefore radius r = 48/2 = 24 m
[tex]Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min[/tex]
Find the equation of a line given 2 coordinates (5, 5) and (-2, -2)
if you could write the equation and show work that would be great!! whoever answers and is correct i WILL mark brainliest :)
Answer:
y=x
Step-by-step explanation:
using slope intercept form and slope formula so y=x
Answer:
y=mx+c
x co-ordinates is 5 & -2
y co-ordinates is 5 & -2
m is the gradient so you have to do change in y over change in x (basically the difference in the y axis )
so change in y : (-2)-5 = -7
change in x: (-2)-5= -7
so divide this and you get 1 which is m
Now the equation is y= 1x+C but x=1 theoretically
therefore all you do now is substitute the values onto the equation to find C. ALWAYS USE THE SAME SET OF COORDINATES.
5=1(5)+ C
5=5+C
C= 0
equation is y=x
Step-by-step explanation:
What is the rate of change of the graph shown below?
PLS HELP!!!! ^^^
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (3, 0)
Point (0, 1)
Step 2: Find slope m
Plug in points to find the rate of change of the graph.
Substitute [SF]: [tex]m=\frac{1-0}{0-3}[/tex]Subtract: [tex]m=\frac{1}{-3}[/tex]Rewrite: [tex]m=\frac{-1}{3}[/tex]What is 2+2? PleAse help
Answer:
2+2=4
Step-by-step explanation:
Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk
In Coachella, California the temperature was 9 degrees below zero at 2 am. By 5 am the temperature had dropped by an additional 7 degrees. By 1 pm the next day the temperature had risen by 12 degrees. What was the temperature at 5 am
Answer:
The temperature at 5 am is 16 degrees below zero.
Step-by-step explanation:
The temperature at 2 am is 9 degrees below zero:
[tex]T_{2_{am}} = -9 [/tex]
Since at 5 am the temperature had dropped by an additional 7 degrees, we have:
[tex]T_{5_{am}} = T_{2_{am}} - 7 [/tex]
[tex]T_{5_{am}} = -9 - 7 = -16 [/tex]
Therefore, the temperature at 5 am is 16 degrees below zero.
I hope it helps you!
What is the equation in slope-intercept form of a line that has a slope of −12 and a y-intercept of 6?
Answer:
y=-12+1
hopes this hwlps
Answer:
y=-12x+6
Step-by-step explanation:
There is enough information to write this equation in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The given slope is -12 and the given intercept is 6.
[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]
Hope this helps.
15 + 20x = 18 + 20x
Please help him determine the value of x, if any, that makes
the equation true. Explain how you know and what your
answer means in terms of solutions.
15+20x=18+20x
20x+15=18+20x
2. then you want to rearrange the terms again:20x+15=18+20x
20x+15=20x+18
3.Subtract 15 from both sides of the equation:20x+15=20x+18
20x+15-15=20x+18-15
4.Simplify:1.subtract the numbers
20x=20x+3
5.Subtract the 20x from both sides of the equation:20x=20x+3
20x-20x=20x+3-20x
6.Simplify1.combine like terms
0=3
or x=3whats the least common multiple of 7, 9, and 21
Answer:
63
Step-by-step explanation:
was marked down $20. The sale price was $40. What was the original price
Answer:
$60
Step-by-step explanation:
The sale comes after the markdown.
let’s set an equation:
x - 20 = 40
x= 60
$60
A map has a scale of 4.5 inches = 36 kilometers. If the distance between two cities is 8.5 inches, what is the actual distance between the cities
Answer:
68 km
Step-by-step explanation:
A map has a scale of 4.5 inches = 36 km
We need to find the actual distance between the cities if the distance between two cities is 8.5 inches.
We can find 1 inch is equal to what as follows :
1 inch = (36/4.5) km
For 8.5 inches,
[tex]8.5\ \text{inches}=\dfrac{36}{4.5}\times 8.5\\\\=68\ km[/tex]
Hence, the actual distance between the cities is 68 km.
The width of a photograph is 7/10 of the length. The length is 5 inches. What is the width?
Answer:
3.5 or 3 1/2
Step-by-step explanation:
can someone help me pls
Answer:
1; 180
2: 180
3:155
Step-by-step explanation:
Graph the line y = 7/2x - 5
Answer:
slope: 7/2
y-int: (0, -5)
(0, -5) (10/7, 0)
find the missing side length in the right triangle.
Answer:
5.83
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2
[tex]5^{2} + 3^{2} = 34\\\sqrt{34} = 5.83[/tex]
Don’t understand please help
Solve the equation and explain each step using apropriate Properties
-4(3x+6)+6=-30
Answer:
The answer is x=1
Step-by-step explanation:
-4(3x+6)+6=-30
-12x-24+6=-30
-12x-18=-30
-12x-18+18=-30+18
-12x=-12
-12x/-12=-12/-12
x=1
what is the percent of change from 300,000 to 30,000
Answer:
There is a 90% decrease
Step-by-step explanation:
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Answer:
sorry to answer as I kinda want the points
for me when problem solving it gave me 10%
as I'll show the work and why
Step-by-step explanation:
first dividng the two will make it clear
300,000/30,000
will give you
10 x%
30,000 will make it as 90% since it's 1/10 away from 30,000
300000 is 100% since it is our output value.
so 100% / 300,000
so x% / 30,000
300000(1) = 100%
x% / 30,000(2)
x%/30,00
100%/300,000
A car initially at rest, starts moving with constant acceleration of 7 m/s2 and covers a distance of 56 m in 4 sec. Calculate the distance travelled by the car in 10 sec.
A. 140 m
B. 350 m
C. 364 m
D. 406 m
A recipe uses 4 cups of milk to make 8 servings. If the same amount of milk is used
for each serving, how many servings can be made from one pint?
1 gallon 4 quarts
1
quart
2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of
servings for?
Answer: 4 servings
4 cups of milk = 8 servings
2 cups of milk = 4 servings
I divided both sides by 2 to change "4 cups milk" into "2 cups milk".
The reason why I want 2 cups of milk is because the chart you're given shows 1 pint is 2 cups.
Therefore, 1 pint of milk will get you 4 servings.
what's the answer to the question?
I have a heart that never beats, I have a home but never sleep, I can take a man's house and build on others, and I like to play games with my mini brothers. I am a king among fools. who am i?
which statement best describes the value of square root of 8?
a. the value of 8 is 2
b. the value of 8 is 4
c. the value of 8 is between 2 and 3.
d. the value of 8 is between 7 and 9.
Answer:
I think A but if im wrong tell me sorry if it wrong
Step-by-step explanation:
Answer:
8 is 2 answers. the answer is A
Is 9÷1/3 = 9×3? Please help...