Answer:
2520 different ways
Which statement describes the solutions of this equation?
Answer:
C. The equation has two valid solutions
Step-by-step explanation:
A rational equation like this is often solved by "cross-multiplying" to eliminate the fractions. When we do that, we get ...
4(2x+10) = x(3x+1) . . . . . . . multiply both sides by (3x+1)(2x+10)
3x² -7x -40 = 0 . . . . . . . . . . rearrange to standard form
3x² -15x +8x -40 = 0 . . . . . . separate -7 into factors of 3(-40)
3x(x -5) +8(x -5) = 0 . . . . . factor pairs of terms
(3x +8)(x -5) = 0 . . . . . . . finish factoring
The zeros of these factors are not zeros of the original denominators, so neither of the solutions these give is extraneous.
3x +8 = 0 ⇒ x = -8/3
x -5 = 0 ⇒ x = 5
Use the properties of exponents to simplify the expression.
3 4·3 8?
Answer:
[tex]\displaystyle 3^{12}[/tex]
Step-by-step explanation:
Using the properties of exponents, when multiplying two exponents of the same base together you can add the powers.
[tex]\displaystyle 3^{4} *3^{8} =3^{4+8} =3^{12}[/tex]
The expression simplifies too:
[tex]\displaystyle 3^{12}[/tex]
Answer:
6642
Step-by-step explanation:
3⁴ = 3 * 3 * 3 * 3 = 81
3⁸ = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 = 6,561
Add the totals:
6642Two angles are supplementary to each other. If the first angle measures 58°, then
which of the following could be the measure of the second angle?
F. 122
G. 32
H. 58
J. 90
Answer:
F. 122º
Step-by-step explanation:
By definition, the sum of 2 supplementary angles is 180º
Hence 58º + x = 180º
x = 180º - 58º - 122º
Jack has a mask collection of 500 masks. He keeps 235 of the masks on his wall. What percentage of Jack's mask collection does he keep on his wall?
Answer:
47%
Step-by-step explanation:
First we need to find the ratio of masks on Jack's wall to the total number of masks, which is 235/500. Now we need to make the denominator 100 in order to find the percentage by dividing the numerator and denominator by 5 to get 47/100. Therefore the percentage of Jack's mask collection that is on his wall is 47%.
State the value of the discriminant for the equation and then determine the number of real solutions of the equation. 3x^2+2x-3=0
Answer:
x=(-1+-√ 10)/3
Step-by-step explanation:
number in the square root is the discriminant
What translation is shown below?
1 unit down
3 units up
1 unit up
3 units down
Step-by-step explanation:
3 units down
(-1,3)- (-1,0) 3 units down in y coordinate
and so on
A pet store has 150
150
goldfish and betta fish altogether.
The ratio of goldfish to betta fish is 2:3
2:3
.
How many goldfish does the pet store have?
Answer:
60
Step-by-step explanation:
hope this helps loves x
Answer:
Step-by-step explanation:
60
Big
Bubble
Hub
Be
What number is 0.1 less than 15.2? help im doing a k12 test !!
!!
Answer:
15.1?
Step-by-step explanation:
Subtract .1
Answer:
15.1
Step-by-step explanation:
15.2-.1=15.1
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Step-by-step explanation:
Solve |2x+5| =15
Need help please!!!
Answer:
applying absolute law
if |u|=a, a>0 then u=a or u=-a
2x+5=15 or 2x+5=-15
2x=15-5 or 2x=-15-5
2x=10 or 2x=-20
x=5 or x= -10
URGENT PLEASE HELP asap
Answer:
4x-4 < -76
Step-by-step explanation:
Four times a number (x), minus 4, is less than -76.
Answer:
x is less than —18
Step-by-step explanation:
Check out the attached photo
Solve x2 − 90 = 0. If necessary, round to the nearest hundredth.
8100
±9.49
There is no solution as you cannot take the square root of a negative number.
±180
Answer:
Option B, [tex]x =[/tex] ± [tex]9.49[/tex]
Step-by-step explanation:
Step 1: Add 90 to both sides
[tex]x^2 - 90 = 0[/tex]
[tex]x^2 - 90 + 90 = 0 + 90[/tex]
[tex]x^2 = 90[/tex]
Step 2: Square root both sides
[tex]\sqrt{x^2} = \sqrt{90}[/tex]
[tex]x =[/tex] ± [tex]9.49[/tex]
Answer: Option B, [tex]x =[/tex] ± [tex]9.49[/tex]
Please need now! A. Compute for the average speed Average Speed = distance travelled time taken 1. A bus travels a distance of 300 km in 5 hours 2. Ajet travels 4.000 km in 8 hours 3. An athlete 10 km in 2 hours 4. A hiker travels 50 km in 2.5 hours 5. A biker travels 45 km in 5 hours B. Solve for the time taken to travel (Time = distance travelled + average speed 6. A motorcycle rider iraveis 150 km at 25 km/h. 7. A close van travels 288 km at 72 km/hr. 8. A jogger runs 20 km at 4km/hr. 9. A delivery truck travels 204 km at 68 km/hr. 10. A bird travels 210 km at 42 km/hr. C. Solve for the distance Distance = Average Speed x Time taken) 11. A racing motorbike travels at the speed of 122 km/hr for 1.5 hrs. 12. Mr. Garcia travels by car at 100 km/hs for 2 hours 13. A biker travels 45 km/hrs for 1.5 hrs. 14. Jianna runs 300 m/hrs for 2 hours 15. A carabao walking at a speed of 12 km/hr for 2 hours D. Circle the letter of the correct answer. 16. An airplane took 5 hours flying from point of origin to point of distination. If the total distance for flight 2000 kilometers, how fast was the plane travelled per hour? a. 400 km b. 300 km C. 250 km a. 200 km 17. A family went on an outing. They traveled for 3 hours at an average speed of 72 kilometers an hour. How far was their outing? a. 24 km b. 75 km c. 216 km d. 226km
Answer:
Step-by-step explanation:
1. 60 11. 33 km
2. 500 12. 200 km
3. 5 13. 67.5 km
4. 20 14. 600 km
5. 9 15. 30 km
16. a.400 km
6. 2 17. c. 216 km
7. 4
8.5
9. 3
10.5
An apartment building has 1500 residents. Every year 10% of the residents move out and no one new moves in. How many residents will live there is 7 years?
Answer:
717.44535
Step-by-step explanation:
P is the population in the beginning
r = population decrease per year = 10%
n = years = 7
P*(1-r/100)^n
1500(1-(0.10)^7
pioneermathematicscomFORMULAEFORPOPULATIONGROWTHandDECREASEformulaf779146html
Is 16+4 and 2(2w+8) equivalent?
Answer:
Below!
Step-by-step explanation:
Let us consider that 16 + 4 and 2(2w+8) are equal. Then;
⇒ 16 + 4 = 2(2w + 8)This equation can be solved in two ways. Listed below!
Method 1:
Let's simplify the left-hand-side of the equation.
⇒ 20 = 2(2w + 8)Then, divide "2" both sides of the equation to open the parentheses.
⇒ 20/2 = 2(2w + 8)/2⇒ 10 = (2w + 8)⇒ 10 = 2w + 8Subtract 8 to both sides of the equation to isolate the variable (w) and it's coefficient.
⇒ 10 - 8 = 2w⇒ 2 = 2wFinally, divide 2 to both sides of the equation to isolate the variable (w).
⇒ w = 1Therefore, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.
Method 2:
Let's simplify the left-hand-side of the equation.
⇒ 20 = 2(2w + 8)Then, simplify the distributive property to open the parentheses.
⇒ 20 = 2(2w + 8)⇒ 20 = 4w + 16Subtract 16 to both sides of the equation to isolate the variable and it's coefficient.
⇒ 20 - 16 = 4w + 16 - 16⇒ 4 = 4wFinally, divide 4 to both sides of the equation to isolate the variable (w).
⇒ 4/4 = 4w/4⇒ w = 1As said in method 1, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.
If the probability of having twins is 1.2%
The ordered pair ( 15,12 ) means that ? pounds of beans cost $ ?.
Answer:
15 pounds of beans costs 12 dollars
Step-by-step explanation:
(15,12) Means 15 pounds of beans costs 12 dollars
The first coordinate is the x value which is pounds and the second coordinate is the y value which is dollars
Answer:
Step-by-step explanation:
The longer leg of a right triangle is 3 inches longer than the shorter leg. The hypotenuse is 6 inches longer than the shorter leg. Find the side lengths of the triangle.
Answer:
9,12,15
Step-by-step explanation:
I just looked at the different pythagorean triples and saw which set has a difference of 6 between the largest and smallest and a difference of 3 between the first and second one.
Here are the first few pythagorean triples:
3,4,5
6,8,10
7,24,25
5,12,13
9,12,15 - This is our answer
Hope this helped and brainliest please
PLS HELP ME WITH THIS I HAVE BEEN STUCK FOR OVER AN HOUR
Use the function f(x) to answer the questions.
f(x) = −16x2 + 24x + 16
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
See Explanation
Step-by-step explanation:
A. f(x) = -16x² +24x + 16
0 = -8(2x² - 3x - 2) ⇒ -8(2x + 1)(x - 2) = 0 ⇒ x = -1/2, 2
B. f'(x) = -32x + 24 ⇒ 0 = -8(4x - 3) ⇒ x = 3/4
f''(x) = -32 ⇒ f''(3/4) = -32 ⇒ concave down ⇒ maximum
f(3/4) = -16(9/16) + 24(3/4) + 16 = -9 + 18 + 16 = 25
By the second derivative test, the point (3/4, 25) is a maximum.
C. 1. Plot the intercepts. 2. Plug in points. 3. Draw the curve.
Answer:coesm
Step-by-step explanation:
5y^3 – 4y – 1
Leading term:
Leading coefficient:
Constant term:
Answer:
See below for answers and explanations
Step-by-step explanation:
The leading term is the term with the highest degree, in this case, 5y³
The leading coefficient is the number in front of the leading term, 5
The constant term is a term with no variables contained, in this case, -1
Helppp
At the end of a snow storm, Caleb saw there was a lot of snow on his front lawn. The
temperature increased and the snow began to melt at a steady rate. The depth of
snow on Caleb's lawn, in inches, can be modeled by the equation S = -2t + 18,
where t is the time, in hours, after the snow stopped falling. What is the y-intercept
of the equation and what is its interpretation in the context of the problem?
The y-intercept of the function is
The y intercept is the starting depth of the snow. In this case, it would be 18 inches (aka 1 ft + 6 inches aka 1.5 feet)
The y intercept is the starting value and it occurs when t = 0
S = -2t+18
S = -2(0)+18
S = 0+18
S = 18
At time t = 0, the depth of the snow is S = 18 inches. As t increases, the value of S will decrease.
Use the symbols <,> or = to compare the decimals 56.72 and 5.672
Answer:
>
Step-by-step explanation:
its because 56.72 is greater than 5.672
Answer:
56.72 > 5.672
Step-by-step explanation:
> means greater than
< means less than
so 56.72 is greater than (>) 5.672
Directions Write Each Equation In Slope-Intercept Form Then Graph The Problem Is X+5y=-15
Answer:
y = -x/5 - 3
Step-by-step explanation:
Slope intercept form: y = mx + b
x + 5y = -15
5y = -15 - x
y = -15/5 -x/5
y = -x/5 - 3
BRAINLIEST please if this helped!What is the value of the expresión below?
[tex]56 \div \frac{1}{7} [/tex]
A
[tex] \frac{1}{952} [/tex]
B
[tex] \frac{17}{56} [/tex]
C
[tex]3 \frac{5}{17} [/tex]
D 952
I need help please
3 Select the correct answer. How can you write the expression 7(b – 2) in words? A. two subtracted from the quotient of seven divided by b B. seven added to difference of b minus two C. the quotient of seven divided by b minus two D. two subtracted from seven times b E. the product of seven and the difference of b minus two
Answer:
E. the product of seven and the difference of b minus two
Step-by-step explanation:
7(b-2)
seven is being multiplied by the difference of b minus 2
So this can be written as the product of seven and the difference of b minus two.
Reasons its not the other answer choices
A. two subtracted from the quotient of seven divided by b would be (7/b) - 2
B. seven added to difference of b minus two would be 7 + (b-2)
C. the quotient of seven divided by b minus two would be 7/(b-2)
D. two subtracted from seven times b would be 7b - 2
Key Vocabulary:
Difference = Subtraction
Product = Multiplication
Quotient = Division
The product of seven and the difference of b minus 2
Calculations / Details ↓First of all the difference of 2 numbers indicates that we subtract these numbers .
For instance , here we subtract :
b - 2
so we have the difference of b minus 2
then the product means we multiply .
For instance , here we multiply 7 times the difference of b and 2 .
A number / variable before the parentheses indicates that we multiply that number times the parentheses .
So the option is E.hope helpful ~
ATTEMPT 3 OF TRYING TO GET THIS ANSWERED PLEASE HELP
In this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?
Drag and drop the correct measurements by the arrows to
match each angle.
m<2 ——>
m<4——->
m<7——->
87° 89° 91° 93 °
Answer:
m<2 = 87
m<4 = 87
m<7 = 93
Step-by-step explanation:
A certain college graduate borrows $5900 to buy a car. The lender charges interest at an annual rate of 10%. Assuming that interest is compounded continuously and th the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate k that is required to pay off the loan in 6 years (Round your answer to two decimal places.) k=$ per yr Determine how much interest is paid during the 6-year period. (Round your answer to two decimal places.)
$3.00 for 150 golf tees
Answer:
2 cents a tee
Step-by-step explanation:
Answer:
It is 2 cents per golf tee If you can please give brainliest
Step-by-step explanation:
Thank you <3
The prism below is made of cubes which measure 1/4 of a foot on one side what is the Volume?
A: 5/2 cubic ft
B: 9 cubic ft
C: 9/16 cubic ft
D: 36 cubic ft
Answer:
htrtrheherh
Step-by-step explanation:
I’m confused on this please help