Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
Mr. Smith is ordering steaks to serve at a poker game with his friends. The first company charges a delivery fee of $10 plus $15 per steak. The second company charges a delivery fee of $25 and charges $10 per steak. How many steaks would Mr. Smith have to order so that both companies cost the same amount?
Answer:
he would have to order 3 steaks from the first company and 3 from the second
Step-by-step explanation:
What is the value of x (8x-8)° (7x+8)°
I'm going to assume they are the same angle.
Steps to solve:
(8x - 8) = (7x + 8)
~Add 8 to both sides
8x = 7x + 16
~Subtract 7x to both sides
x = 16
Best of Luck!
Rupert buys a bicycle with a marked price of £ 12500.He gets a rebate of 10% on it. After getting
the rebate ,tax is charged at the rebate of 8%. Find the amount he will have to pay for the bicycle.
Answer:
£ 12,150
Step-by-step explanation:
Marked price of bicycle = £ 12500
Rebate = 10%
Amount of rebate = 12500*10/100 = £1250
Rebated price = 12500 - 1250 = £ 11,250
Tax = 8%
Amount of tax = 11250*8/100 = £ 900
Total amount paid for bicycle = Rebated price + amount of tax
= £ 11,250 + £ 900
= £ 12,150
HELPPPPP!!!! tHIS IS REALLY HARD!!!!!
Answer: J.
Step-by-step explanation: -tanx i believe
Answer:
H: 2
Step-by-step explanation:
[tex]\frac{\sqrt{1-\cos ^2\left(x\right)}}{\sin \left(x\right)}+\frac{\sqrt{1-\sin ^2\left(x\right)}}{\cos \left(x\right)}[/tex]
LCM is [tex]\cos \left(x\right)\sin \left(x\right)[/tex]
Adjust fractions:
[tex]\frac{\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}+\frac{\sqrt{1-\sin ^2\left(x\right)}\sin \left(x\right)}{\cos \left(x\right)\sin \left(x\right)}[/tex]
Combine:
[tex]\frac{\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)+\sqrt{1-\sin ^2\left(x\right)}\sin \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}[/tex]
--------------------------------------------------------
We will take a look at [tex]\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)[/tex].
Using the identity that [tex]\cos ^2\left(x\right)+\sin ^2\left(x\right)=1[/tex], we know that [tex]1-\cos ^2\left(x\right)=\sin ^2\left(x\right)[/tex].
Therefore, [tex]\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)=\sqrt{\sin ^2\left(x\right)}\cos \left(x\right)=\sin \left(x\right)\cos \left(x\right)[/tex]
-----------------------------------------------------------------------------------------------
Similarly, [tex]1-\sin ^2\left(x\right)=\cos ^2\left(x\right)[/tex] so
[tex]\sqrt{1-\sin ^2\left(x\right)}\sin \left(x\right)=\sqrt{\cos ^2\left(x\right)}\sin \left(x\right)=\cos \left(x\right)\sin \left(x\right)[/tex]
-------------------------------------------------------------------------------
We will finally end up with
[tex]\frac{\sin \left(x\right)\cos \left(x\right)+\cos \left(x\right)\sin \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}[/tex]
Add:
[tex]\frac{2\sin \left(x\right)\cos \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}[/tex]
Cancel out sin(x):
[tex]\frac{2\cos \left(x\right)}{\cos \left(x\right)}[/tex]
Cancel out cos(x):
[tex]2[/tex]
find the distance between these two points (-6, -5) and (2, 0)
Answer:
[tex]\sqrt{89}[/tex]
Step-by-step explanation:
Use Distance Formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1} )^{2} }[/tex]
Substitute
[tex]\sqrt{(-5-0)^{2}+(2+6)^{2} }[/tex]
Simplify
[tex]\sqrt{(-5)^{2}+(8)^{2} }[/tex]
Simplify
[tex]\sqrt{25+64}[/tex]
Add
[tex]\sqrt{89}[/tex]
The sum of twice a number and 6 is the same as 3 subtracted from the number itself
The diagram represents an enlargement of a rectangle by a scale factor of 4,
4 in
2 in
[Not drawn to scale]
Help ASAP
Answer:D 16inches by 8 inches
Step-by-step explanation:
Answer:
16 in by 8 in
Step-by-step explanation:
Round 374,462,894 to the nearest thousand. Explain each step of the process.
Answer:
374,463,000
Step-by-step explanation:
374,462,894
Identify the thousands spot and locate the digit next to it.
374,462,894
If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.
8 is greater than or equal to 5. We round up.
374,462,894 ≈ 374,463,000
Hope this helps.
Answer:
[See Below]
Step-by-step explanation:
✦ The number in the thousandth place is [tex]2[/tex].
✧ To round, look at the number to the right, in this case it's [tex]8[/tex].
○ If the number is greater than or equal to [tex]5[/tex], then round up.
○ If the number is less than [tex]5[/tex], round down.
✦ So then we would change the [tex]2[/tex] to a [tex]3[/tex].
✦ Then rewrite the number:
✧ [tex]374463000[/tex]
~Hope this helps Mate. If you need anything feel free to message me.
What is 9.2568 x 10-3 in standard notation?
Answer:
0.0092568
Step-by-step explanation:
10^-3 means to move the decimal 3 places to the left.
0.0092568
7 is what % of 100? i'm really confused on this
Answer:
7%
Step-by-step explanation:
Since percentages are out of 100. (Cent=100) Therefore 7/100 is 7%.
Answer:
7 %
Step-by-step explanation:
Is means equals and of means multiply
7 = P * 100
Divide each side by 100
7/100 = P
Percent means out of 100
7 %
Is geometric sequence a linear function? SOMEONE HELP ME
Answer:
No
Geometric sequences are exponential functions, not linear functions. The answer is no.
product of 26.5 and 3/5
Answer: 15.9
Step-by-step explanation:
Multiply them and get 15.9
Help me ASAP
I need to be done with this in 10 minutes
Answer:
B) [tex]y= \frac{1}{2}x+4[/tex]
Step-by-step explanation:
Find the value of b using the formula for the equation of a line.
[tex]y=mx+b[/tex]
Replace the known value of m in the slope y-intercept form of the equation.
[tex]y=(\frac{1}{2}) x+b[/tex]
Replace the known value of b in the slope y-intercept form of the equation.
[tex]y=(\frac{1}{2}) x+4[/tex]
How can the tiles be sorted? (I need it quick please)
Answer:
by fraction and decimals
Step-by-step explication:
what steps could be used to solve the equation 1 + 3x = -x + 4.
Answer:
Combing like terms
Step-by-step explanation:
Answer: x = 3/4
Step-by-step explanation:
1+3x = -x+4
or, 1-4 = -x-3x
or, -3 = -4x
or, 4x = 3
or, x = 3/4
so, x = 3/4
A student found that the side lengths of a square rug were 1.80. The student was asked to
report the area using the correct number of significant digits. He wrote the area as 3.2.
Consider the following information.
U = {all table games}
C = {card games} = {Hearts, Euchre, Go Fish, Uno, Snap, Set}
S = {card games using a standard deck of cards} = {Hearts, Euchre, Go Fish, Snap}
O = {card games using other decks of cards} = {Uno, Set}
B = {board games} = {chess, checkers, backgammon}
The disjoint sets are:
Answer:
2
Step-by-step explanation:
Two sets A and B are called disjoint if A and B have no elements in common. Another equivalent definition of disjoint sets would be that the intersection of the two sets actually equals the empty set.
find the pattern for the following sequence, then use the pattern to show the next two terms. 1, 1, 2, 3, 5, 8, 13...
Answer I believe the next two terms are 21 and 34!
Step-by-step explanation:
the sequence is 1,1,2,3,5,8,13...
So for the first number, 1 + 0 is 1, for the next sequence 1 + 1 is 2, 1 + 2 is 3.
Add the number with the number behind it to get your next number!
One week, Wyatt earned $70.40 at his job when he worked for 4 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $281.60?
Answer: 8 hours
Step-by-step explanation: he gets 70.40$ to work for 4 hours so you'll have to multiply 4 by 70.40 to represent it's doubling to 8 and you'll get 281.60
70.40x4=281.60
so add this 4 to the other 4 it makes 8 because that's how much it would take to get there 4 steps up to really =8
i'm sooo dificult
PLEASE HELP ME ILL GIVE BRAINLIEST
Answer:
-36.5
Step-by-step explanation:
substitute 8.5 for v
8-(6(8.5)+2-(8.5))
8-(51+2-8.5)
8-44.5
edited cause I forgot the 8 at first :P
A town's pharmacy and hospital are 3 miles apart. If a map of the town has a
scale, where 1 inch=0.25 mile, what is the distance between the pharmacy and
the hospital on the map, in inches?
because we use simple rule of three
2 inches ---------------- 5 miles
20inch -------------- xmiles
x = 100/2
x = 50
A friend provides 100 pieces of supporting evidence for a mathematical statement. What is the minimum number of counterexamples needed to prove the statement false?
100
it's impossible
1
101
Answer:
1 true good statement can prove his friend wrong.
Step-by-step explanation:
Answer is 1.
Alex purchased a seven-year $600 bond at par value with a 5% coupon. What is the total value of the coupons?
Answer
300 dollars
because u do 600x.5
Answer:
$210
Step-by-step explanation:
Coupon payment : 0.05 x $600 = $30
Total coupon payment : $30 x 7 years = $210
11 m
Find the area of the shaded region. All angles are right angles.
4 m
7 m
2 m
2 m
The area of the shaded region is m2.
(Simplify your answer.)
Answer: 82m2
Step-by-step explanation:
An entry level designer's annual pay is $49,868 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its designers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the designer expect his annual pay to decrease? Round your answer to the nearest dollar.
Answer: his pay will decrease by $1,918
Step-by-step explanation:
49868/52 = 959
959 × 50 = 47950
49868 - 47950 = 1918
The formula for the volume of a pyramid is V=⅓Bh, where B is the area of the base of the pyramid and h is the height of the pyramid.
What is the volume of this pyramid in cubic inches?
Answer:
80
Step-by-step explanation:
v=lwh/3= 5*6*8/3 = 80
The volume of this pyramid in cubic inches is 80 inch³.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
We have,
V = (1/3) (b) (h)
So, the Volume of Pyramid is
= 1/3 x base aera x height
= 1/3 x 5 x 6 x 8
= 5 x 2 x 8
= 80 inch³
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ7
I need help ASAP please!!
Answer
6/8 -- 3/4
9/7 -- 1 2/7
2 1/2 -- 5/2
1/2 -- 5/10
can you please help
Answer:
the correct ans is c.(8)
Step-by-step explanation:
2 miles in 3/4 of an hour
Answer:
2
Step-by-step explanation:
Enter the fraction as a decimal. Use a repeating decimal if necessary.
14
11
Answer:
the answer is 14/11
Step-by-step explanation:
