Answer:
First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
That 6 should be -6
Let me solve it for you
[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]
So
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]
4. The width of a rectangle is (2x - 2) and
its length has a measure of (2x + 2).
a. What is the perimeter of the rectangle?
[tex]p = 2(l + w)[/tex]
[tex]p = 2(2x - 2 + 2x + 2)[/tex]
[tex]p = 2(4x)[/tex]
[tex]p = 8x[/tex]
Joslynn makes $8.25 per hour babysitting. If she made $123.75 last week, then how
many hours did she work last week?
Answer:
We already know that Joslynn makes $8.25 per hour.
Equation:
123.75 divided by 8.25= worked hours
123.75 divided by 8.25 = 15 hours
So last week Joslynn worked 15 hours to make $123.75.
Sally's family is going to visit her grandparents for the holidays. They live 585 miles away. Sally's parents plan to drive for 5.5 hours on the first day, then stop at a hotel for the night and complete the rest of the trip on the second day. They plan to maintain an average speed of 60 miles per hour.
Which equation can Sally use to find how many hours, h, they can expect to drive on the second day?
How many hours can Sally's family expect to drive on the second day?
Answer: 4.25
Step-by-step explanation:
First day: 60 × 5.5 = 330
Second day: 585 - 330 = 225 ÷ 60 = 4.25
Can you do this for me pls
[tex]\frac{x}{y}[/tex]Answer:
Step-by-step explanation:
algebraic thingking: (going from up to down)
1. 30 2. 28 3. 9 4. 20
base ten numbers(up to down)
1. 4.6 2. 46 3. 460 4. 4600
( when your multilplying decimals with multiples of ten or numbers that end in ten... then the decimals movies however many spaces to the RIGHT, depending on how many zeros:)
fractions1. 1 [tex]\frac{1}{2}[/tex] 2. 3 [tex]\frac{1}{3\\}[/tex]
measurment and data
take a better picture of the number line because i cant see the numbres on it:(
geometery
1. Yes, since the sum of angles of a triangle is 180 degrees. If there are two right angles in a triangle then the third angle will be zero degrees, which is quite impossible hence this will not form a triangular shape. This will negate the properties of a triangle.
2. No, not always.
Square is a specific form of a parallelogram when all the sides are equal & each interior angle of a parallelogram is a right angle.
Expand the following expressions by multiplying out the brackets
-4(4f+3)
Answer:
- 16f - 12
Step-by-step explanation:
- 4(4f + 3) ← multiply each term in the parenthesis by - 4
= - 16f - 12
Hello!
In order to simplify this expression, we should use the Distributive Property and distribute -4:
-4(4f+3)
-16f-12
Note:
[tex]\square[/tex] A negative times a negative is a positive.
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
What is the quotient of 7.14 x 10^7 and 4.2 x 10^3 expressed in scientific notation?
Answer:
The quotient of these numbers is 1.7 × 10⁴
Scientifically in the notion, these would be the correct numbers.
The quotient of the given numbers is 1.7×10⁴.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
The given numbers are 7.14×10⁷ and 4.2×10³.
Here, quotient = 7.14×10⁷ ÷ 4.2×10³
= 1.7×10⁴
Therefore, the quotient of the given numbers is 1.7×10⁴.
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
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Determine the intercepts of the line.
Do not round your answers.
Y=5x-13
Answer:
y intercept:(0,-13)
x intercept: (13/5,0)
Step-by-step explanation:
The way we find intercepts (both x and y) is to plug in zero.
x int:
We set y to 0:
0=5x-13
add thirteen to both sides
13=5x
x=13/5
y int:
set x to zero
y=5(0)-13
y= - 13
Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: https://brainly.com/question/22734914
What steps are used to solve this equation?
6f = 48
Complete each statement.
First,
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.
Answer:
F=8
Step-by-step explanation:
6f=48
Divide each side by 6
f=8
Substiuite
8x6=48??
Yes
Step-by-step explanation:
Simplifying 6f = 48 Solving 6f = 48 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '6'. f = 8 Simplifying f = 8
Hint: There are 3 feet in 1 yard.....Math 100pts
Answer:
$0.22/foot
Step-by-step explanation:
Setting up the equation:
⇒ 6 yards of aluminum wire costs $3.96
⇒ 6 yards = $3.96
Simplifying the equation in cost/foot:
⇒ 6 yards = 6(3) feet = 18 feet = $3.96 (1 yard = 3 feet)
⇒ 18 feet = $3.96
⇒ 1 foot = $3.96/18 = $0.22
Answer:
$0.22
Step-by-step explanation:
6 yards costs $3.96
Therefore, to find the cost of 1 yard, divide the cost of 6 yards by 6:
⇒ 1 yard = $3.96 ÷ 6
= $0.66
1 yard = 3 feet
Therefore, to find the cost of 1 foot, divide the cost of 1 yards by 3:
⇒ Price per foot = $0.66 ÷ 3
= $0.22
Can someone help me with this question
Step-by-step explanation:
y = 4
2x + 3y = 6
1) 2x + (3 x 4) = 6
2) 2x + 12 = 6
3) 2x = -6
4) x = -3
Answer:
1. 2x + 3(4) = 6, 2. 2x + 12 = 6, 3. 2x = -6, 4. x = -3
Step-by-step explanation:
Step 1: 2x + 3(4) = 6
Step 2: 2x + 12 = 6
Step 3: 2x = -6
Step 4: x = -3
Hope this helps :)
can someone help please????
Identify potential solutions of the inequality 3x + 4 < 13. Select all that apply.
Answer:
3x+4<13
3x+4-4<13-4(3x<9) divide both sides by 33x/3< 9/3x < 3$1200 at 12% for 3 years
Answer:
$1,689.
Step-by-step explanation:
Answer:
If this is compound interest and it is compouned annually,the answer is $1,685.91
If this is simple interest, the answer is $1,632.00
Step-by-step explanation:
Equation for compound interest.
[tex]A=P(1+\frac{r}{n})^{n*t}[/tex]
[tex]A=1200(1+\frac{0.12}{1})^{1*3}[/tex]
[tex]A=1685.91[/tex]
Equation for simple interest.
[tex]A=P(1+r*t)[/tex]
[tex]A=1200(1+0.08*3)[/tex]
[tex]A=1632.00[/tex]
Name 2-3 types of retirement accounts and explain what they are.
Some examples of he most common types of retirement accounts are:
401(k) andSEP IRA.What is the 401 (k) Retirement Plan?
The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:
The contributions to this account is tax freeprovides the contributor with early access to their moneyIt allows the contributors to contribute up to $18,500 for those under the age of 50 and $24,500 for those above the age of 50.With the 401K, there is a matching contribution from the employer by at least 90% of employers.Taxes on investments are defferred until retirements.The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.
What is the SEP IRA?
SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.
The advantages of the SEP IRA are:
Learn more about Retirement Plans at:
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Is u = 1a solution to the inequality below
u>8
PLEASE HELP ASAP
Answer:
No
Limit given:
u > 8point:
u = 1This value of u = 1 does not fall under the condition, "u is greater than 8".
Number line:
Answer:
No
Step-by-step explanation:
The given inequality is :
u > 8Therefore, the only solutions to this inequality must be greater than 8.
On substituting u = 1 in the inequality,
1 > 8This is not true, as 8 is clearly the greater valueu = 1 is not a solution to the inequalityhow to solve the proof and the steps
Answer:
Step-by-step explanation:
¿Cuántos enteros divisibles por 9 hay entre 95 y 450?
Answer:
s so you're going to divide when you going to divide 95 why you take it to the other side it will become 95 * 450 equals to 42750 / 9 when we divide 42750 / 9 to give you 4750 that is your answe
(PLS HELP WILL MARK BRAINLIEST TO CORRECT ANSWER)
John leaves his house one morning to go to the store which is 16 middles dude my north. Suzie, his wife, leaves the house and drives to work, which is directly east of the store.John needs to drop off lunch for suzie because she forgot to pack a lunch today. If suzie has a 20 mile drive to work from home, how far must John drive to store to deliver her lunch?
Answer: 12 miles
Step-by-step explanation:
wildflower mix contains several different types of seeds.
cornflower 40
primrose 3
black-eyed Susan 2
poppy 6
baby's breath 12
What is the probability that a randomly selected seed will be a poppy seed?
Choose the value of c to form a perfect-square trinomial. X2 8x c -8 4 -4 16.
The value of c forms a perfect square of expression x² + 8x + c is 16. thus option D is correct.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
It is given that x² + 8x + c
So, value of c to form a perfect-square trinomial = (1/2 b)²
= (1/2 × 8)²
= 4²
= 16
Thus the value of c forms a perfect square of expression x² + 8x + c is 16.
Learn more about perfect square;
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How do I find the area of the shaded and none shaded regions?
Answer:
96 for both
Step-by-step explanation:
You can see that each region is equal because it is half. 8*12=96. (96/2)*2= Shaded region. 96
So that means the unshaded region is also 96.
Answer:
Find the area of the whole shape, then find the area of the shaded area (which is 2 triangles *).
after that, just minus the area of the shaded areas from the area of the whole shape...
Total Area = Lenght x Width... (16 x 12)
Area of triangle 1 = 1/2 x Base x Height.... (1/2 x 12 x 8)
Area of triangle 2 = 1/2 x Base x Height.... (1/2 x 12 x 8)
Area of Shaded Region = A of T1 + A of T2
Area of Non-Shaded Region = Total Area - Area of of Shaded Areas
Step-by-step explanation:
pls help
If we know that 455 students are in school today and that number represents 70% attendance. Use the following equation .70s=455 to figure out how many students are in the school. *
A 650
B 318
C 485
D 620
Evaluate the expression when y = -5.
y² + 5y + 4
Identify the value of y.
-6×2×9y = 7y-4+4-690
Hey there!
-6×2×9y = 7y-4+4-690
=> Let's solve your equation step-by-step.
(((−6)(2))(9))(y)=7y−4+4−690
Step 1: Simplify both sides of the equation.
(((−6)(2))(9))(y)=7y−4+4−690
−108y=7y+−4+4+−690
−108y=(7y)+(−4+4+−690)(Combine Like Terms)
−108y=7y+−690
−108y=7y−690
Step 2: Subtract 7y from both sides.
−108y−7y=7y−690−7y
−115y=−690
Step 3: Divide both sides by -115.
−115y/−115 = −690/−115
y=6
Answer:
y=6
Therefore, the value of y = 6
Answer:
y=6
Step-by-step explanation:
(((−6)(2))(9))(y)=7y−4+4−690
−108y=7y+−4+4+−690
−108y=(7y)+(−4+4+−690)
−108y=7y+−690
−108y=7y−690
Subtract 7y from both sides.
−108y−7y=7y−690−7y
−115y=−690
Step 3: Divide both sides by -115.
−115y -690
−115 -115
y=6
I hope this helped!! If so please mark brainliest and rate my answer <33
Luca sells muffins and juice boxes at the
school snack bar. muffins are $1.50 each
and juice boxes are $1.25 each.
Answer:
1.5m+1.25j
Step-by-step explanation:
m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.
Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.
Add the income from both of them to get the total income, and you get 1.5m+1.25j.
Turn the written information into a equation (exponential function):
Common ratio of 4; horizontal shift right 6
Step-by-step explanation:
common ratio is usually used for geometric sequences.
every term is created by multiplying the previous term by a certain constant factor (= common ratio).
this factor or common ratio is in our case 4.
such a sequence is a function f(x) for x being whole numbers.
a0 = 1
a1 = a0×4 = 1×4 = 4
a2 = a1×4 = 4×4 = 16
...
an = 4^n
as general function that is then
f(x) = 4^x
a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.
e.g. f_new(6) = f_old(0)
so, the function is
f(x) = 4^(x - 6) or (4^x)/4⁶
4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?
1/16
3/16
1/8
1/4
Answer:
1/16
Step-by-step explanation:
Given in comment:
5,4,3,2 = Spinner
Thus, there are 4 possible answer
Given:
If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?
1/16
3/16
1/8
1/4
Solve:
Knowing that there only One 5 and One 2 on the spinner.
Thus, in fraction form - 1/4 and 1/4
Probability land on 5 = 1/4
Probability land on 2 = 1/4
Because there are 4 possible solution and one of each is 5,4,3,2
Now, multiply then together:
1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}
Put Together:
1/16
Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16
~Lenvy~
Answer:
1/16
Step-by-step explanation:
so, per your additional information the "spinner" has 4 possible results : 5, 4, 3 ,2
I guess, they are like the six numbers on a die equally probable.
that means the probabilty to get one of the 4 possible answers is 1/4 (desired outcomes over all possible outcomes).
now, to make the experiment twice and link the results as one desired outcome (like a 5 and a 2, or two 4s, or ...), we can multiply the probabilities as combined events without overlapping.
why ?
similar to a die with 6 possible results, we have here for every one of the 4 possible results of the first spin, we have 4 possible results of the second spin.
so, the probability of one particular set of 2 results is
1/4 × 1/4 = 1/16
in other words, it is 1/4 to get 5 on the second spin, and 1/4 to get 2 on the second spin. because we want both to happen as one desired result, both events have to happen as combination (and not as "or"). hence the multiplication.
Help fast please and thank you!
Answer: 1/4 .!
Step-by-step explanation: hope this helped :).
Im really stuck please help guys?
Answer:
75°
Step-by-step explanation:
180°-105°=75°
Hope this helps!
If not I am sorry.