Answer:
[tex]x_1=3+2\sqrt{6}[/tex]
[tex]x_2=3-2\sqrt{6}[/tex]
Step-by-step explanation
[tex]\rule{100mm}{0.5mm}[/tex]
[tex]x^2-6x=15[/tex]
[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]
[tex]x^2-6x+3^2=15+3^2[/tex]
[tex]x^2-6x+9=15+9[/tex]
[tex](x-3)^2=24[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]
[tex]x-3=\pm2\sqrt{6}[/tex]
[tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]
[tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]
[tex]\rule {100mm}{0.5mm}[/tex]
Micheal walks 3.5 km every day . How far does he walk in 9 days . Write in meters
31500 meters.
Step-by-step explanation:
3.5 km times 9 = 31.5 km
25.5 km = 31500 meters
Let me know if you have any issues or need help!
Answer:
31500 meters
Step-by-step explanation:
If he walks 3.5 km a day and he walks 9 days, then multiply those together. That will give you 31.5 km. Converted to meters would give you 31500.
please help!!! if anyone knows
Answer:
The answer is 24in a am very sure
Step-by-step explanation:
Answer: The missing side is 24 inches
Step-by-step explanation:
Since it is a right angle that means that we can use the Pythagorean Theorem formula to solve for the B.
The formula says that a^2 + b^2 = c^2 Since we know a is 18 and c is 30 we will input the value into the formula to solve for b.
18^2 + b^2 = 30^2
324 + b^2 = 900
-324 -324
b^2 = 576
b = [tex]\sqrt{576}[/tex]
b = 24
Find the equation of the line.
Use exact numbers.
y=___x+____
How do linear and exponential functions compare over time?
Answer:
Exponential Functions
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.
A 20-oz bottle of soda costs $2.98.What is the cost per ounce?
Answer:
$0.15
Step-by-step explanation:
Answer:
0.149
Step-by-step explanation:
2.98 divided by 20 = 0.149
Answer - 0.149
Evaluate the expression.
4.2°
Answer:
4.2°
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form: 4.2°
Decimal Form: 4.2
I hope this helps!
please help me out! I need help asap
Answer:
That's a lot also can i get brainliest please
Step-by-step explanation:
1: 16.50
2: 45.00
3: 30
4: half or 1.5
5: 60
6: 20
7: 315
Pleaseeeee answer !!!!!!!!!! What is the triangle ?! Will
Mark Brianliest !!!!!!!!!!!!!!!
Answer:
Isosceles Obtuse
Step-by-step explanation:
one angle is greater than 90 degrees makes it obtuse
two sides are same so isoscleles
pls give brainliest
ACe
medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine.
What is the weight of a patient who requires 200 milligrams of medicine?
Answer:
weight of the patient = 175 pounds
Step-by-step explanation:
Patient body weight : medicine
119 : 136
What is the weight of a patient who requires 200 milligrams of medicine?
Let
Patient body weight = x
Patient body weight : medicine
x : 200
Equate both proportions
119 : 136 = x : 200
119 / 136 = x / 200
Cross product
119 * 200 = 136 * x
23,800 = 136x
x = 23,800 / 136
= 175
x = 175 pounds
You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.
Answer:
13.15
Step-by-step explanation:
The teacher baked a batch of muffins there's are 16 muffin in a batch she ate 1/4 of the batch she baked two more batches how many muffins does she have now
Answer:
Step-by-step explanation:
she ate 1/4 of the batch = 16/4 = 4 muffins were left
she baked two more batches = 16* 2 = 32
4 + 32 = 36 muffins
or
no. of muffins in a batch: 16
no of muffins he ate = 1/4 of 16
= 4
no. of muffins left: 16 - 4= 12
his mother then baked 2 more batches= 16+16
=32
no. of muffins left = 32+12 = 44
dont forget to mark this as the branliest answer if it helped you!
#HAVE FUN!! with muffins!!!
#GautamPro
Answer:
44
Step-by-step explanation:
16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44
Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Since everyone is staying home for the holiday, she needs to increase this standard amount by 3 to have enough to send to family and friends far and wide. How many dozens of cupcakes will Jeanna need to make?
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get
[tex]$=\frac{180}{12}$[/tex]
= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him
(04.07A) Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 Which equation best represents the relationship? y = 1 over 2x + 11 y = negative 1 over 2x + 11 y = 2x + 10 y = 2x + 11
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
I know this because I had the same test as you and that is what I put and I got it right.
Increase £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
2292.84
Step-by-step explanation:
What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}
3 Answers: x = 0, x = 1, or x = 2
==================================================
Explanation:
The relation
{(0, 5) (1, 5) (2, 6) (x, 7)}
has points with x coordinates of: 0, 1, 2, and x.
If we repeated any of the x values listed so far, then we will not have a function.
So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.
This means that if x = 0, 1, or 2, then we won't have a function.
Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
5.
16 yd)
14 yd
6 yd
are you looking for the perimeter or area or what
-2+(-0.7)+(-3)+(-0.1)
Answer:
-5.8
Step-by-step explanation:
-2-.7-3-.1= -5.8
Answer: -5.8
Glad I could help!
Lorraine and Bea are learning to type on a computer keyboard, Lorraine's
typing speed is represented by the equation y = 9x where y is the number of
words she types and is the number of minutes, Bea's typing speed is given by the graph
Answer:
A
Step-by-step explanation:
I took one for the team
Answer:
yes for the exam its a
Step-by-step explanation:
A landscaping service company charges customers a one-time fee and an hourly rate of $15. For 1 hour of service, the company charges $45. Write an equation to represent the total charge C for h hours of landscaping.
Answer:
C = $30 + $15h
Step-by-step explanation:
Given that:
Hourly rate = $15
One time fee = x
Amount charged for an hour of service = $45
Hence,
One time fee + $15* 1 = $45
One time fee = $45 - $15
One time fee = $30
Hence, total charge C for h hours of landscaping:
Total charge = one time fee + (hourly charge * number of hours)
C = $30 + $15h
help!! offering lots of points and brainliest!
Answer:
It would be C
Step-by-step explanation:
So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100
And the run is 1, because to go from 0 to 1, you add 1
Meaning the slope is 100/1
Hope this helped!
Solve y−4=3x+5y for y.
Answer:
-8y = 3x
Step-by-step explanation:
Which fraction is equivalent to 0.4?
StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction
Answer:
Four-tenths
Step-by-step explanation:
Four-tenths
Hope it helps you in your learning process.
Solve for w.
−(1/4w+8)+8=3
w=134
w = 52
w=−34
w=−12
Solve for w by simplifying both sides of the equation, then isolating the variable.
D. w = −12
I need help ASAP :) thank you!
Answer:
x=2, y=0
Step-by-step explanation:
Need answer ASAP! Plsss!!!
Answer:
2/9
Step-by-step explanation:
You multiply the probability of the green ball which is 8/12 by the probability of the purple ball which is 4/12 and you get 0.222 which is also 2/9.
A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?
Step-by-step explanation:
Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.
can somebody teach me how to do this 1 math question, its about solve for the area! WILL Give Brainiest!
Answer:
area is 100m bc u do 10 times 10
Step-by-step explanation:
Answer:
139.27 meters squared
Step-by-step explanation:
So what you're doing is calculating the square's area and half of the circle's area.
The square's area is 100m^2 since 10*10=100
For the circle part, you use πr^2. You know the diameter of the circle, and radius is half of the diameter, so 10/2=5.
π*5^2 = 78.54 m^2
Since you have half of a circle you divide this by 2.
39.27
Finally you add your two areas together
100+39.27=139.27 meters ^2
Shirts are on sale for 30% off. The original price of one shirt is $15. What is the discounted price of the shirt? Write your answer as a dollar amount.
Answer:
4.5
Step-by-step explanation:
15 x 0.30
Answer:
$35
Step-by-step explanation:
$15 divided by 30%=$50
$50 was the original price
50-15=35
$35 was the discounted price