Answer:
15d^2 +7d-4
Step-by-step explanation:
(5d+4)(3d-1)
FOIL
first 5d*3d = 15d^2
outer 5d(-1) = -5d
inner 4*3d = 12d
last 4*-1 = -4
Add together
15d^2 -5d+12d -4
15d^2 +7d-4
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{(5d+4)(3d-1) }[/tex] [tex]\sf{ 5d(3d-1)+4(3d-1) }[/tex] [tex]\sf{15d^2-5d+12d-4 }[/tex] [tex]\sf{15d^2+(-5+12)d-4 }[/tex] [tex]\sf{ 15d^2+7d-4 }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
can i please get some help on this one ASAP!
Answer:
This is a 4th degree polynomial!
Step-by-step explanation:
Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.
Hope this helps, good luck! :)
Find the sum of the second multiple of 9 and the fifth multiple of 6.
Answer:
48
Step-by-step explanation:
9,18
6,12,18,24,30
18 + 30 = 48
Find the values of the unknown angles marked with letters. please help me- it is about alternate angles
100 points!!!
a ?
b ?
c ?
d ?
Answer:
Step-by-step explanation:
Find either c or d first. Those are easy and everything will fall into place after those 2 are found.
c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.
d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.
a and c are same side interior, so they are also supplementary. That means that a = 115°.
b and d are also same side interior, so they are also supplementary. That means that b = 70°.
Mark all the relative minimum points in the graph.
Please help I don't understand what to do.
Answer:
Step-by-step explanation:
The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).
A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
Answer:
[tex]Expected = 0.09375[/tex]
Step-by-step explanation:
Given
[tex]Balls = 4[/tex]
[tex]n = 4[/tex] --- selection
Required
The expected distinct colored balls
The probability of selecting one of the 4 balls is:
[tex]P = \frac{1}{4}[/tex]
The probability of selecting different balls in each selection is:
[tex]Pr = (\frac{1}{4})^n[/tex]
Substitute 4 for n
[tex]Pr = (\frac{1}{4})^4[/tex]
[tex]Pr = \frac{1}{256}[/tex]
The number of arrangement of the 4 balls is:
[tex]Arrangement = 4![/tex]
So, we have:
[tex]Arrangement = 4*3*2*1[/tex]
[tex]Arrangement = 24[/tex]
The expected number of distinct color is:
[tex]Expected = Arrangement * Pr[/tex]
[tex]Expected = 24 * \frac{1}{256}[/tex]
[tex]Expected = \frac{3}{32}[/tex]
[tex]Expected = 0.09375[/tex]
Which equation represents an exponential function with an initial value of 500?
f(x) = 100(5)x
f(x) = 100(x)5
f(x) = 500(2)x
f(x) = 500(x)2
Answer:
y = 500 * (2)^x is an exponential function
Step-by-step explanation:
An exponential function is of the form
y = a b^x where a is the initial value and b is the growth/decay factor
y = 500 * (2)^x is an exponential function
The correct equation that represents an exponential function with an initial value of 500 is:
f(x) = 500(2)x
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
We are given that the initial value of the exponential function is 500. The initial value refers to the value of the function when x is equal to zero. Therefore, the value of f(0) is 500.
Out of the four given options, only option (c) represents an exponential function with an initial value of 500, since f(0) is equal to 500 when x is equal to zero:
f(x) = 500(2)^x
Option (a) represents an exponential function with an initial value of 100 and a base of 5.
Option (b) represents a power function, not an exponential function.
Option (d) represents an exponential function with an initial value of 0 and a base of x^2, which can take any value including negative values, thus it doesn't satisfy the conditions of a valid exponential function.
Learn more about logarithmic functions here:
https://brainly.com/question/3181916
#SPJ7
What would -4|5+-3| be
Answer:
-8
Step-by-step explanation:
Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.
Answer:
The sum of the arithmetic series is 2717.
Step-by-step explanation:
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:
[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]
In conclusion, the sum of the arithmetic series is 2717.
PLEASE HELP IM TRYING TO FINISH THIS BY NEXT MONDAY AND IVE BEEN STUCK ON THIS
Answer:
Step-by-step explanation:
Choice A is the only one that is applicable.
Answer:
A. F(x) has 1 relative minimum and maximum.
Step-by-step explanation:
[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]
As x and F(x) tend to positive and negative infinity:
[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]
❎So, B and C are excluded.
Roots of the polynomial:
[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]
❎, D is also excluded.
✔, A
if an angle is 10 degree less than its complement, find the angle.
Let one be x
Other one is x-10ATQ
[tex]\\ \sf \longmapsto x+x-10=90[/tex]
[tex]\\ \sf \longmapsto 2x-10=90[/tex]
[tex]\\ \sf \longmapsto 2x=90+10[/tex]
[tex]\\ \sf \longmapsto 2x=100[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{100}{2}[/tex]
[tex]\\ \sf \longmapsto x=50[/tex]
[tex]\\ \sf \longmapsto x-10=50-10=40[/tex]
find the missing segment in the image below
Answer:
3
Step-by-step explanation:
Intercept theorem
DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]
⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]
⇒ ? = 3
Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?
6.89 + t = 8.00
6.89 - t = 8.00
6.89t = 8.00
6.89 = 8.00 Divided by t
Answer:
not sure if the answer is obvious but I'd say $6.89 + t = $8.00
Step-by-step explanation:
so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart
after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this
$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip
now continue checking your answer next is , $6.89 - t = $8.00
which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11
hopefully that help maybe i can get brainlist?!
Answer:
6.89 + t = 8.00
Step-by-step explanation:
it's A
Edge 2021
Write an equation in point-slope form of the line that passes through the given point and has the given slope.
(16,-4);m=-3/4
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
y= -2x+11
y=-3x+21
Answer:
x=10
y=-9
Step-by-step explanation:
eqn 2-1
-1x+10=0
x=10
in eqn 1
y=-2 ×10+11
-20+11
-9
What is the equation of the graph
Answer:
y=6^x-2
Step-by-step explanation:
Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation
shop sells shirts. In
January they reduce the
price of all their £50 shirts
by 50%. In February they
decide to increase the price
of all their shirts by 50%. In
March they decide to
reduce the price of their
shirts by 50% again. What is
the cost of a shirt in March?
50 apples cost 25$ how much would 75$ apples cost?
Answer:
100
Step-by-step explanation:
Hey there!
First, to find the cost of one apple, 50 ÷ 25, which equals 2.
At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.
If you meant 75 apples: 75 x 2 = $150
If you meant $75 apples: $75 ÷ 2 = 37.5
Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.
Hope this helps!
Have a great day!
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
let the n'th term be called x, and the value of the term y,
then there is a function y=a*x + b
that will give us all term we want.
this formula is also used for straight lines.
we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula
10.5 = a*12 + b
13.5 = a*18 + b
now lets manipulate these lines.
multiply the first line by 3 and the second line by 2
31.5 = a*36 + 3b
27 = a*36 + 2b
subtract the second line from the first line
4.5 = b
yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.
10.5 = a*12 + 4.5
6 = a*12
0.5 = a
now y=a*x + b can be filled with a and b
y = 0.5 * x + 4.5
for x=1 (the first term) it's f(1)=5
each step is 0.5, hence the common difference.
2and way:(13.5-10.5)/(18-12)
= 3 / 6
= 0.5
we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.
from step 12 to step one it's 11 steps down
10.5 - 0.5*11
= 10.5 - 5.5
= 5
okay I admit... 2and way to do it might be faster and more intuitive... :D3(t-3)=5(2t+1) solve the following linear equations
Step-by-step explanation:
3(t-3)=5(2t-1)
= 3t-9=10t-5
= 3t-10t = -5+9
= -7t = 4
= -t = 4/7
= - 4/7 Answer
hope it helps
Can some one help me answer this
7. √9
√9 is a rational number because √9 = 3 = 3/1.
8. No, there is no integer between -6 and -7.
9. π
π is an irrational number
Help. ME. confused!
this is geometry. hi i need help pls.
Answer:
Step-by-step explanation:
Answer:
B is the answer
Step-by-step explanation:
A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Answer: True
Explanation:
Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.
Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2
Answer:
33x+22
Step-by-step explanation:
The area of a rectangle is
A = l*w where l is the length and w is the width
A = 11(3x+2)
Distribute
= 33x+22
Area of rectangle = Length * Width
Length is 3x+2Width is 11⇛Area = 11(3x+2)
⇛Area = 33x + 22
Consider the following points. (−4, −1) and (4, 2) Let Y'O' be the image of YO after a reflection across line . Suppose that ′ is located at (1, 4) and ′ is located at (−2, −4). Which of the following is true about line ?
The line was reflected about the line y = -x.
-----------------------------------------
This question is solved using reflection concepts.
There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.
-----------------------------------------
In this question:
Point (-4,-1) became (1,4).Point (4,2) became (-2,-4).From this, we have the following rule: (x,y) -> (-y,-x)
Checking the rules, it can be said that the line was reflected about the line y = -x.
A similar question can be found at https://brainly.com/question/16130908
The figure is not drawn to scale.
Answer:
93°, 89°, 93°
Step-by-step explanation:
∠1 and ∠4 are supplementary angles:
m∠1 + m∠4 = 180°; m∠1 = 93°
∠2 and ∠4 are vertical angles:
m∠2 = m∠4 = 87°
∠3 and ∠4 are supplementary angles:
m∠3 + m∠4 = 180°; m∠3 = 93°
a man is now 9 times as old as his daughter. in four years time he'll be five times as old as his daughter. what are their present ages
Answer: The father is 36 right now and the son is 4
Step-by-step explanation: 9x4 is 36 and 36/9=4.
Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1
The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'
To prove, we will look at some situations:
If we add up the two digits of 18. We get,
[tex]1 + 8 = 9[/tex]
And we multiply 18 by 2 which is greater than 1. We get,
[tex]18[/tex] × [tex]2 = 36[/tex]
The sum remains the same i.e. [tex]3 + 6 = 9[/tex]
Similarly,
If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;
[tex]18[/tex] × [tex]3 = 54[/tex]
where (5 + 4 = 9)
Once more,
Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.
[tex]18[/tex] × [tex]4 = 72[/tex]
[tex](7 + 2 = 9)[/tex]
[tex]18[/tex] × [tex]5 = 90[/tex]
[tex](9 + 0 = 9)[/tex]
Thus, 18 is the answer.
Learn more about 'numbers' here: brainly.com/question/1624562
In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R
pls explain too
Answer:
Step-by-step explanation:
from the picture:
QP = QR
and
QR = RS
so
PQ + RS = QS
Please help out explanation need it
Answer:
156m^2
Step-by-step explanation:
I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36
The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.
120+36=156. The surface area of the rectangle is 156m^2
