Answer:
2
Step-by-step explanation:
15 + 5 × 3
________
3² + 6
For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:
(15+15)/(9+6)
Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:
30/15
Finally, we divide 30/15 to get 2 as our answer
2
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
https://brainly.com/question/3951754
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answer:
608.33
Step-by-step explanation:
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answer:
y = x + 2
Step-by-step explanation:
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation can be used to determine c, the monthly charge based upon the number of minutes (m) of service each month. C = 25m + 0.05 c = 25m + 0.05 c = 0.05m + 20 c = 0.05m + 20 c = 25m + 0.05 c = 25m + 0.05 m = 0.05c + 30
Answer:
c= 25+0.05m
Step-by-step explanation:
Given that,
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.
$25 is fixed here and charge $0.05 for each minute of service.
We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.
c= 25+0.05m
Hence, this is the required equation.
a= 18 in.
C = 82 in.
What is the length of b?
Answer:
B should equal 80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80
A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.
Answer:
Step-by-step explanation:
It drops 235 feet per move.
235 * 4 = 1140 feet below sea level.
-1140 is also possible.
What are two different ways of saying "find the
solution"?
Answer:
find the difference. find the sum
Step-by-step explanation:
will you guys help me with anything i need?
(don't listen about the subject for now i just need to know)
Answer:
Ummm yeah , i'm literally a nice person and a good listener .
Step-by-step explanation:
Can i pls have brainly ? <3
Answer:
yes
Step-by-step explanation:
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What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?
Answer: 61cm
Step-by-step explanation:
So to work out this question you do 5734÷94 which would work out the with which is 61
61×94=5734
Pleasssssse help meeeeee
Answer: [tex]x \geq 3[/tex]
The graph has a closed circle pointing to the right
Please answer real quick
Answer:
use symbolab
Step-by-step explanation:
7
Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)
Answer:
I think it's B
...........
Answer:
d
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.
Answer:
x = 32.5
y = 65
Step-by-step explanation:
y = 65 degrees
65 and y are the base angles in an isosceles triangle ( single lines) so they are equal
y+z = 180 since they form a straight line
65+z = 180
z = 180-65
z = 115
The second triangle is also an isosceles triangle so the base angles are the same as shown by x
180 = x+x+z
180 =2x+ 115
65 = 2x
Divide by 2
x = 32.5
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
Which one?
A. B. C. Or D?
Answer:
Answer is C
Step-by-step explanation:
have a nice day!!
~ jassy
Answer:
The answer would be c
Step-by-step explanation:
4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)
Answer:
Step-by-step explanation:
Let R = Richard, T = Teo.
Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:
R + T = 41
We are also told Richard is 5 years older than twice Teo's age:
R = 2T + 5
You can substitute " R " into R + T = 41
R + T = 41
2T + 5 + T = 41
3T + 5 = 41
Subtract 5 from both sides
3T = 41 - 5
3T = 36
Divide both sides by 3 to find T.
T = 36/3 = 12
We know that R + T = 41, so
R = 41 - T
R = 41 - 12
R = 29
Answer:
Richard is 29 and Teo is 12
Step-by-step explanation:
let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )
Thus their combined ages are
n + 2n + 5 = 41 , that is
3n + 5 = 41 ( subtract 5 from both sides )
3n = 36 ( divide both sides by 3 )
n = 12
Then
Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old
Which is the graph of the equation y-1=2/3(x-3)?
Answer:
The second graph ( one with the coordinates (3,1) and (6,3))
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
ILL MARK BRAINLIST IF YOU GET IT RIGHT .which expression is equivalent to s - t?
Answer:
s(6)×t(6)
hope this helps
Need help with 5-8 with working out will be marking brainliest
Answer:
hope to have helped you:)
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
what a number named as a googolplexian might be ?
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
Express the following number as a decimal:
2 x 10^-6
Answer:
0.000002
Step-by-step explanation:
2* 10^-6
is the same as
2 * 0.000001
which is
0.000002
Answer:
The answer is: 0.000002
Step-by-step explanation:
Have a great day!
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.
Answer:
The ratio of triangles to squares is 2 to 4
There are two squares for every triangle.
There are three smiley faces for every triangle.
Step-by-step explanation:
The number of triangles, smiley and squares are shown in the diagram attached.
From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.
A ratio compare two or more values, thereby showing how many times one number contains the other.
A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4
B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6
C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2
D) Correct. Since the ratio of squares to triangles = number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle
E) Incorrect. Since the ratio of triangles to smiley faces = number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces
F) Correct. Since the ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle