Answer:
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
2
+
−
6
=
0
2
x
2
+
x
−
6
=
0
2x2+x−6=0
=
2
a
=
2
a=2
=
1
b
=
1
b=1
=
−
6
c
=
−
6
c=−6
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
√
2
⋅
2
x
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
2
⋅
2
x=2⋅2−1±12−4⋅2(−6)
Answer:
x = - 2, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
2x² + x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 6 = - 12 and sum = + 1
The factors are + 4 and - 3
Use these factors to split the x- term
2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )
2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x - 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
54 equals 9 more than a number $t$ .
Answer:54 = t + 9
Step-by-step explanation:
the length of a rectangle is y. the width of the rectangle is (3x+1). what is an expression for the area of the rectangle?
What is the unit rate for the number of hours charged?
Answer:
4.09
Step-by-step explanation:
just divide the given price by the hours
Helppp!!!!! Plz!! Thank you!!!!!!!
Answer:
third option
Step-by-step explanation:
set all the x's equal to zero
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
What is the slope? Please answer with a pic and some work
Answer:
m = rise over run
Rise: y/2 - y/1
Run: x/2 - x/1
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Answer:
slope= (y2-y1)/(x2-x1)
1) (2-1)/(3-2)
=m=1
3) (5-4)/(2-2)
= UNDEFINED (vertical line)
5) (-6-6)/(3-(-3)
(-12/6)
= -2
CHECK
y=mx+b
6=-2(-3)+b
6=6+b
b=0
y=-2x connects both of these points on a graph
You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?
Answer:
$25.97
Step-by-step explanation:
You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.
to get the price after markdown multiply $35.00 by 7/10 which equals $24.5
Multiply $24.5 by .06 to get the sales tax which is $1.47
So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97
The cost of Tyler's jacket is $23.03.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Tyler bought a jacket regularly priced $35.00.
With a 30% markdown, the cost of jacket is
30% of 35
= 30/100 ×35
= 0.3×35
= 10.5
So, the cost of jacket is 35-10.5=$24.5
Now, sales tax on $24.5
That is, 6% of $24.5
= 6/100 ×24.5
= 0.06×24.5
= 1.47
Cost of jacket is 24.5-1.47
= $23.03
Therefore, the cost of Tyler's jacket is $23.03.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width was f the lake is 1,000 m, what is the width of the lake on the scale drawing?
Answer:
12,5 centimeters.
Step-by-step explanation:
We take the following proportion
[tex]\frac{1 cm}{80m} = \frac{x}{1000m}[/tex]
Which becomes:
[tex]1000 = 80x[/tex]
And then, we clear out the variable x:
[tex]\frac{1000}{80}=\frac{100}{8}=\frac{50}{4}=12,5[/tex]
And this means that the width of the lake on the scale drawing will be 12.5 cm.
What is a integer between saure root of 30 and 4/3
9514 1404 393
Answer:
any of 2, 3, 4, 5
Step-by-step explanation:
√30 ≈ 5.48
4/3 ≈ 1.33
Integers between 1.33 and 5.48 include 2, 3, 4, 5. Any of these is an integer between √30 and 4/3.
log4 x + log4 (x – 3) = 1 Solve the equation.
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation:
try ur best
FRIEND ME :p
Answer:
6Step-by-step explanation:
If Kevin has 4 more points
than Carl, and then Tom has
2 fewer points than Carl, then Kevin
had 6 more points than all of Tom's points.
Hope this helps! <3
A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?
Answer:
2
Step-by-step explanation:
(6x+2)/(3x+1) = 2
PLS HELP I WILL MARK BRAINLIEST
Answer:
your awnser is C if im wrong message me but I'm positive that I'm right
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error? Zelie should have divided both numbers by 14. Zelie should have written the ratio as StartFraction 28 feet over 7 feet EndFraction. Zelie should have written the ratio as StartFraction 14 feet over 28 feet EndFraction.
Answer:
Zelie should have divided both numbers by 14
Step-by-step explanation:
Given
[tex]Actual = 28[/tex]
[tex]Measured = 14[/tex]
Required
Spot and correct Zelie's mistake
[tex]Zelie = \frac{28 - 7}{14 - 7} = \frac{21}{7}[/tex]
Scale is calculated as:
[tex]Actual = Measured * Scale[/tex]
[tex]28 = 14 * Scale[/tex]
Divide 28 and 14 by 14
[tex]28/14 = 14/14 * Scale[/tex]
[tex]2 = 1 * Scale[/tex]
[tex]2 =Scale[/tex]
[tex]Scale = 2[/tex]
Notice at this point:
[tex]28/14 = 14/14 * Scale[/tex]
Both sides were divided by 14.
Hence, option A answers the question.
Answer:
A. Zelie should have divided both numbers by 14.
Explanation:
I took the quiz and got it right.
Hope this Helps!
Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.
Answer:
The correct option is;
y = 6
Step-by-step explanation:
The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.
The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts
The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry
In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side
Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.
Option A will represent the line of reflection.
A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.
If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.
Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.
Therefore, line given in Option A will represent the line of reflection.
Learn more,
https://brainly.com/question/10612394
1+2+3+4+5+6+7+8+9+123x4231+1234+4432x0+1212121+333
Answer:
0
Step-by-step explanation:
you see that multiply by 0 sign no matter what the answer will always be 0
Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in stand collection?
A- Stan owns 9 cards or less
B- Stan owns 9 cards or more
C- Stan owns less than 9 cards
D- Stan owns more than 9 cards
Answer:
i think the answer is c
Step-by-step explanation:
22x3=66 66-58=8
In stand collection, Stan owns less than 9 cards.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Let x represnets the number of Kyle's cards and y be the number of Stan's cards.
We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:
k = 3s + 22 equation (1)
We also knows that together, they own less than 58 cards, so:
k + s < 58 equation (2)
Replace (1) in (2) and solve for :
s + 3s + 22 <58
s <58
Hence, Stan owns less than 9 cards.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ1
Cells are made up of?
Group of answer choices
organs
minerals
animals
organelles
Answer:
organaelles can i have brainlyest?
ik i didnt spell right
Step-by-step explanation:
If Kiran solves the equation for p, which equation would result?
Answer: i have a answer but it is not up there srry
Step-by-step explanation:
What is the answer to this????
Answer:8
Step-by-step explanation:
Answer:
8 rows of art
Step-by-step explanation:
Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)
Homework help quadratics
Answer:
no cap just plug in each one into a quadratic formula and if thats to difficuly just look up symbolab and plug it in
What is the difference in solution in an equation and in an inequality?
Answer:
The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.
Hope you understood a little bit...have an amazing day C:
Round to the nearest integer 31.4829
9514 1404 393
Answer:
31
Step-by-step explanation:
The fractional part of the given number is 0.4829, which is less than 0.5. That means the nearest integer is the integer below the given number:
31
write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
Identify the axis of symmetry of the parabola.
Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
f(x)=-9x- 2 find f(7)
Answer:
x= -1/5
Step-by-step explanation:
1
Add 9x9x to both sides.
x+9x=-2x+9x=−2
2
Simplify x+9xx+9x to 10x10x.
10x=-210x=−2
3
Divide both sides by 1010.
x=-\frac{2}{10}x=−102
4
Simplify \frac{2}{10}102 to \frac{1}{5}51.
x=-\frac{1}{5}x=−51
PLEASE HELP!! i will mark brainliest!!
what is the slope of (19,14) & (21,19)
Step-by-step explanation:
Hey there!
Given; The points are; (19,14) and (21,19).
Note: Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{19 - 14}{21 - 19} [/tex]
Simplify it.
[tex]m = \frac{5}{2} [/tex]
Therefore, slope(m)= 5/2.
Hope it helps...
Answer:
slope = 5/2
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{19-(14)}{21-(19)}[/tex]
m=[tex]\frac{5}{2}[/tex]