Answer:
13.16
Step-by-step explanation:
how do I find the domain n range of this graph
Domain = {-3, 2}
Range = All real numbers
We can represent the range in interval notation as [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < y < \infty[/tex]. The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.
Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".
Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discriminant has no real solution, and a quadratic equation with a discriminant of zero has one real solution.
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
[tex]x = \frac{-b +- R }{2*a}[/tex]
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
[tex]x = \frac{-b +- C*i }{2*a}[/tex]
We have two complex solutions.
If D = 0
√0 = 0
then:
[tex]x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}[/tex]
We have only one real solution (or two equal solutions, depending on how you see it)
Answer:
B (–4, –12)
Step-by-step explanation:
If its even the right question
Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $20 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars.
Answer:
The answer is 1.06x+10
Step-by-step explanation:
Well, I assume that both tickets cost the same: let's call it x.
So the tickets cost 106%x (the cost of the ticket plus tax).
The total prize of the tickets will be: 2*106% x+20.
But let's assume that you share it half-half then the answer would be 1.06x+10
Which of the following is the solution to 113x>> -5?
Answer:
[tex]x>-\frac{5}{113}[/tex]
Step-by-step explanation:
[tex]113x>>-5\\\\\mathrm{Divide\:both\:sides\:by\:}113\\\frac{113x}{113}>\frac{-5}{113}\\\\Simplify\\\\x>-\frac{5}{113}[/tex]
What is the volume of a shoebox that is 35 cm long, 10 cm wide, and 10 cm high?
Answer:
3500 cm^3
Step-by-step explanation:
A shoebox is in the size of a cuboid
Volume of a cuboid = [tex]length\times width\times height[/tex]
[tex]l = 35\\w = 10\\h =10\\\\V =35\times 10\times 10 \\\\Volume =3500cm^3[/tex]
Answer: looks like they got rid of What’s your favorite anime.
Step-by-step explanation:
The length of a rectangle is 6 inches. The width is 3w inches. What is the expression for the perimeter of the rectangle?
Answer:
Perimeter = (6w + 12)inches
Step-by-step explanation:
The perimeter of a rectangle is:
p = 2(length+width)
p = 2(6 + 3w)
p = 2*6 + 2*3w
p = 12 + 6w
What is an equation of the line that passes through the point (-7,-6) and is parallel to the line x - y =7
Answer:
x-y=7
y=x-7
m=1 #parallel slope will be the same with the line
y+7=1(x+6)
y+7=x+6
y=x-1
Step-by-step explanation:
formula; y-y1=m(x-x1)
Answer:
y=x+1
Step-by-step explanation:
Point N is on line segment \overline{MO} Given NO=2NO=2 and MN=17,MN=17, determine the length \overline{MO}.
MO
.
Answer:
MO = 19
Step-by-step explanation:
Here, we want to determine the length of MO
mathematically;
MO = MN + NO
MO = 17 + 2
MO = 19
re f(x) = 2x-5 and g(x)= Žx + 5
inverses? Explain.
We are being asked the inverse of the function f(x) = 2x - 5. Now by definition of an inverse function, f(g(x)) = x. f(x) = 2x - 5, so the inverse would be in the following format:
[tex]=> \mathrm{f\left(g\left(x\right)\right)\:=\:2g\left(x\right)\:\:-\:5}\:[/tex]
[tex]=> \mathrm{2g(x) - 5 = x}\:[/tex]
[tex]=> \mathrm{2g(x) = x + 5}\:[/tex]
[tex]=> \mathrm{g(x) = x + 5 / 2}\:[/tex]
I don't understand the inverse function you gave, 'g(x)= Žx + 5' but if it is in other words 'g(x) = x + 5 / 2' then the two functions you gave are inverses.
Billy jogs 4/5 kilometers every minute how many kilometers does he jog after 6 1/8 minutes
Answer:
He jogs 4 9/10 kilometers in 6 1/8 minutes
Step-by-step explanation:
If you multiple 4/5 time 6 1/8 you'll get 4.9, which in fraction form is 4 9/10.
NEED HELP FAST PLEASE
x = u /k + y/ k
Hope this helps
Find the sum. Simplify. Combine Like Terms.
Write you answer with no spaces. (N+8) + (n - 12)
Answer:
2N-4
Step-by-step explanation:
N+8+N-12
2N-4
Answer:
N^2+4n-96
Step-by-step explanation:
what is an algebraic expression for 2+5p
Answer:
two plus 5 times p or two more than the product of 5 and p.
Step-by-step explanation:
Select all the toolkit functions below that are discontinuous
Answer:
what functions?
Step-by-step explanation:
Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1 10 ) + ( 5 × 1 100 ) . A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035
This question is not written correctly
Complete Question
Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 ) . A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035
Answer:
E. 920.35
Step-by-step explanation:
( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 )
Step 1
(900) + (20) + (3/10) + (5/100)
Step 2
900 + 20 + 0.3 + 0.05
Step 3
920.35
Therefore, the answer = 920.35
Answer:
The Answer is actually B & E if doing this via Connexus. Connexus doesn't view putting an extra zero at the end to be incorrect (as it really isn't, it is just pointless) but Connexus does view NOT selecting that one as incorrect.
So while E is the correct answer, you will only get partial credit if you don't also select B. (With Connexus you can tell ones that are supposed to have multiple answers if they have check boxes instead of radio buttons.)
Step-by-step explanation:
4∣3c+5∣=16c I know the answer is five but I don't know how to get there
Answer:
[tex]c = 5[/tex], explanation for how to get there
Step-by-step explanation:
If we have the equation [tex]4|3c+5| = 16c[/tex], we want to isolate c on one side and find it's value.
Let's first divide both sides by 4.
[tex]4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c[/tex]
Now let's solve for the absolute value. We know that:
[tex]3c + 5 = 4c[/tex]
or
[tex]3c + 5 = -4c[/tex]
Possibility 1:
[tex]3c + 5 = 4c[/tex]
Subtract 3c from both sides:
[tex]5 = c[/tex]
Possibility 2:
[tex]3c + 5 = -4c[/tex]
Add 4c to both sides:
[tex]7c + 5 = 0[/tex]
Subtract 5 from both sides:
[tex]7c = -5[/tex]
Divide both sides by 7:
[tex]c = \frac{-5}{7}[/tex]
Plugging both of these values into the equation, we can see that only 5 works.
Hope this helped!
Simplify the expression
3-(2x+5)
Answer:
-2x - 2
Step-by-step explanation:
Step 1: Write expression
3 - (2x + 5)
Step 2: Distribute negative
3 - 2x - 5
Step 3: Combine like terms
-2x - 2
Simplify.
-4 (3-1) + 2
Answer:
-6
Step-by-step explanation:
-4 x 2 = -8 + 2 = -6
f×v= 13,573,692,509 if f stands for 5837 then what is v?
Answer:
v = 2,325,457
Step-by-step explanation:
f×v= 13,573,692,509
5837×v= 13,573,692,509
v = 13,573,692,509÷5837
v = 2,325,457
[tex]{}\quad\, \underline{\qquad\quad2\ 3\ 2\ 5\ 4\ 5\ 7}\\{}\ \ \,1\ 3\ 5\ 7\ 3\ 6\ 9\ 2\ 5\ 0\ 9\ \div\ 5\ 8\ 3\ 7\\\underline{-1\ 1\ 6\ 7\ 4\ \ \ }\\{}\quad\ \ 1\ 8\ 9\ 9\ 6\\{}\quad\underline{-1\ 7\ 5\ 1\ 1\ \ }\\{}\qquad\ \, 1\ 4\ 8\ 5\ 9\\{}\quad\ \ \underline{-1\ 1\ 6\ 7\ 4\ \ }\\{}\qquad\quad \, 3\ 1\ 8\ 5\ 2\\{}\qquad \ \underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\qquad\qquad2\ 6\ 6\ 7\ 5\\{}\qquad\quad\, \underline{-2\ 3\ 3\ 4\ 8\ \ }[/tex]
[tex]{}\quad3\ 3\ 2\ 7\ 0\\{}\,\underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\quad\ \ 4\ 0\ 8\ 5\ 9\\{}\ \ \,\underline{-4\ 0\ 8\ 5\ 9\,}\\{}\qquad\qquad\quad 0[/tex]
Which of the following
is equivalent to 1/4 ?
Select
Answer:
which of the following.
Step-by-step explanation:
sorry but ur question is not clear
Answer:
there no select
Step-by-step explanation:
sorry couldn't help you on that but 2/8 is equivalent
Andre collected data on the length, in minutes, of some films. This is a histogram summarizing his data.
How many films are in Andre’s data set?
Describe the shape of the distribution.
Answer:
a. 85
b. Normal distribution
Step-by-step explanation:
a. Number of films as per histogram:
10+20+25+20+10 = 85b. Shape of distribution:
As we can see from the histogram it has normal distribution and symmetric, this kind of shape is called Bell-shapedA store buys 10 sweaters for $80 and sells them for $370. How much profit does the
store make per sweater?
Answer:
$290
Step-by-step explanation:
370-80=290
$290
Answer:
29
Step-by-step explanation:
A dog has three puppies. Spot weighs 12 ounces. Rascal weighs 9.5 ounces. Socks weighs 10.2 ounces. What is the total weight of the litter? *
Answer:
31.7
Step-by-step explanation:
Since you want to find the entire weight, you need to add up all of the weights of the puppies.
12+9.5+10.2= 31.7
Help anyone who knows mathematics
Answer:
All answers are in bold in the explanation below.
Step-by-step explanation:
1. $11.49/3 packages=$3.83 per package
2. 2550 gals/30 days=85 gals per day
3. 88 students/4 classes=22 students per class
4. 15.6°F/13 minutes=1.2°F per minute
5. 175 Cals/12 oz=14.58 Cals per oz
6. 258.5 mi/5.5 hrs=47 miles per hr
7. 549 vehicles/9 acres=61 vehicles per acre
8. $920/40 hrs=$23 per hr
9. 13 apples/2 pies=6.5 apples per pie
10. 114 parts/6 mins.=19 parts per min. So, multiply that unit rate by 15 mins.: 19 parts/min. * 15 mins.=285 parts in 15 minutes
11. 8 jumbo muffins/1.5 teaspoons of powder=5.33 teaspoons of powder per muffin. So, multiply that unit rate by 3 dozen jumbo muffins. A dozen is 12 so 3 dozen 36 muffins.: 36 muffins*5.33 teaspoons=192 tsp for 36 muffins
12. about $75 per tire-reasoning: if you rounf $299 to $300 and divide by 4 tires you would get about $75 for the tires.
13. about $4.50 per yard of fabric-reasoning: first round $13.47 to $13.50. Now, 13.50 is sort of in the middle between 12 and 15, which are both equally divisible by 3. 12/3=4 and 15/3=5. The middle number between 4 and 5 is 4.5, so one yard of fabric will be about $4.50.
14a. Melendez: 1,560 watts/4 people=390 watts per person
Barton: 2,130 watts/6 people=355 watts per person
Stiles: 1,490 watts/2 people=745 watts per person
The Stiles family uses almost twice the amount of electricity per person than the other two families. If you look at the calculations, you see that the other two families use within in about 350 to 400 watts of electricity per person, while this family uses about 750 watts per person. 350*2=700 and 400*2=800. 745 is a number almost in between both.
14b. Melendez: 3,500 gals/4 people=875 gals per person
Barton: 6,400 gals/6 people=1,066.67 gals per person
Stiles: 2,500 gals/2 people=1,250 gals per person
The Melendez family uses the least amount of water per person. If you look at the calculations, this is the only family that uses less than 1,000 gallons of water per person, thus making them the family that uses the least amount of water per person.
I NEED HELP ASAP Follow the process for establishing a set of equations: Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1. Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? Include the entire process for establishing a set of equations, the solution, and an explanation of what the solution means in terms of the variables. Complete your work in the space provided.
Step-by-step explanation:
Identify the variables (x,y) and represent them using the unknowns like this:
Let x represent the tens digit and y represent the ones digit of the number.
Relationships between the unknowns from the question:
x = 2y, and x + y = 12.
We can solve these simultaneous equations by substitution:
x + y = 2y + y = 12, 3y = 12, y = 4. So x = 8.
Link back to the question:
Therefore, the number is 84.
Sara, Nick and June share some sweets in the ratio 5:5:3. Sara gets 18 more sweets than June. How many sweets does Nick get?
Answer: 45
Step-by-step explanation:
5 : 5 : 3 is simplified so it can be rewritten as 5x : 5x : 3x
↓ ↓ ↓
Sara Nick June
Sara has 18 more than June --> 5x = 3x + 18
2x = 18
x = 9
In expanded form we have 5(9) : 5(9) : 3(9)
45 : 45 : 27
↓ ↓ ↓
Sara Nick June
Jose's school was closed due to the frigid weather. The high temperature for the play was 4 °F.and the low temperature for the day was
-9 °F.Write the compound inequality for the graph showing this daily temperature range.
Answer:
-36
Step-by-step explanation:
3x + 2y = 6 linear or non-linear ?
A point lies on x-axis at a distance of 9 units from y-axis. What are its co-ordinates? What will be the co-ordinates of a point if it lies on y- axis at a distance of -9 units from x-axis?
Answer: x axis (9,0). Y axis (0, -9)
Step-by-step explanation:
The number of sides of two regular polygons are as 5:4 and the difference between their angles is 9°. Find the number of sides of the polygons,
Answer:
8 and 10.
Step-by-step explanation:
I am assuming the difference of 9° is between their interior angles.
The formula for the interior angle of a regular polygon is 180° - 360°/n, where n is the number of sides.
As the number of sides increase, the interior angle increases.
Therefore 180° - 360°/(5x) = 180° - 360°/(4x) + 9°.
180° - 360°/(5x) = 180° - 360°/(4x) + 9°
360°/(4x) = 360°/(5x) + 9°
90°/x = 72°/x + 9x°/x
=> 90° = 72° + 9x°
9x° = 18°
x = 2.
Hence the number of sides of the regular polygons are 8 and 10.