Answer:
A.) 1644
given equation: [tex]\sf p(x)=x^4-9x^3-5x^2-3x+4[/tex]
To be divided with ( x + 5 )
Then,
x + 5 = 0
x = -5
Put this into the equation to find the remainder.
[tex]\sf p(x)=(-5)^4-9(-5)^3-5(-5)^2-3(-5)+4[/tex]
[tex]\sf p(x)= 1644[/tex]
Use the remainder theorem to find the remainder when p(x)=x^4-9x^3-5x^2-3x+4 is divided by x+5
A.) 1644B.) 1244
C.) -636
D.) -644
~~~~~~~~~~~~~~~~~~~~~
[tex]\sf p(x)=x^4-9x^3-5x^2-3x+4[/tex]
[tex] \sf p(x) = (-5)^4 - 9(-5)^3 (-5)^2 - 3 (-5) + 4 [/tex]
[tex] \sf \green {(p(x) = 1644)} [/tex]
#CarryOnLearning
#LibreAngMatuto
Find the simplified product:
9x* *3x8
4
0 2/126²²
o 327x2
12
3x4
оо
9x
DONE
Answer:
[tex]3 {x}^{4} [/tex]
Step-by-step explanation:
[tex]\huge \sqrt[3]{9 {x}^{4} } . \sqrt[3]{3 {x}^{8} } \\ \\ \huge = \sqrt[3]{9 {x}^{4} \times 3 {x}^{8} } \\ \\\huge = \sqrt[3]{27 {x}^{12} } \\ \\ \huge\orange{= 3 {x}^{4} }[/tex]
Plss i don’t know how to find the answer help if you can
Solution in the picture
Answer:
[tex] \times = 1.8[/tex]
Please help with this question (I will mark brainliest) Thank u >u<
A turtle population that started at 368 has begun to decrease by 7 percent each month. Which equation below could be used to model this situation?
Answer:
hi, I believe it would be C. P=368(0.07)^x
Step-by-step explanation:
hope it helps!
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
See off side word is used it will be deducted half each time n is used
So we get a geometric sequence.
So correct formula is
[tex]\\ \rm\longmapsto f(n)=128(1/2)^n,n>1[/tex]
Option A is correct
(7 + 3) + 42 x (7-3) =
please hurry!!
[tex](7 + 3) + 42 \times (7 - 3) [/tex]
[tex]10 + 42 \times 4[/tex]
[tex]10 + 168[/tex]
[tex] 178[/tex]
Answer=178Answer:
178
Step-by-step explanation:
Make sure to follow the order of operations:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
The product of twenty less than eight times a number and thirty less than two times a number equals zero. Find the number(s).
Answer:
The number= 15 or 5/2
Step-by-step explanation:
(8x-20)(2x-30)=0
16x^2-240x-40x+600=0
16x^2-280x +600 =0
divide by 8
2x^2-35x+75=0
2x^2-30x-5x+75=0
2x(x-15)-5(x-15)=0
(x-15)(2x-5)=0
x=15 OR 5/2
AB and AC are tangent to circle O. If AB measures 23 cm, what is the measure of AC?
A) 40 cm
B) 46 cm
C) 35 cm
D) 23 cm
Answer:
D) 23 cmStep-by-step explanation:
As per Provided Information
AB & AC are tangent to the circle O.
we have been asked to determine the length of AC ( tangent) .
This question is quite easy if you know the following Theorem which states that
Tangent drawn from an external point to the circle are equal in length
Therefore
AB = AC = 23 cmTherefore,
23 cm is your required answer .Option (D) 23 cm
Answer:
D) 23 cm
Step-by-step explanation:
it passes the quiz
The
point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x -12). What is
the standard form of the equation
for this line?
Answer:
y = [tex]\frac{x}{4}[/tex] - 2
Step-by-step explanation:
y - 1 = 1/4 (x - 12)
y - 1 = 1/4 (x) -3
y = 1/4 (x) -3 +1
y = [tex]\frac{x}{4}[/tex] - 2
What is the last step you should take when solving word problems? A.You should find a common denominator for your fractions. B.You should simplify your fractions with the GCF. C.You should clearly state your final answer. D.You should multiply the numerators and denominators. please help!?
Answer:
you should clearly state your final answer
Step-by-step explanation:
Answer:
You should find a common denominator for your fractions.
Step-by-step explanation:
easy hope this helps
Any answers I need help
Answer:
(A) 21
Step-by-step explanation:
5x-15 needs to equal 90 since it is a right angle and 21 makes that true
[tex](5*21)=105\\105-15=90[/tex]
Step-by-step explanation:
A+B=180
(9×+15)×(3×-15)=180
12×=180
×=180\12
×=15 ans,,
Oh need to know alot and a lot
Answer:
yeah so it is 74882828 it is pretty easy
If I increase a quantity by 100% and then decrease the outcome by 50% will the answer be the same? Explain your answer
Answer:
yes because 100 - 50 is 50
A washer and a dryer cost $669 combined. The washer costs $81 less than the dryer. What is the cost of the dryer?
Answer:
$375
Step-by-step explanation:
Given:
A washer and a dryer cost $669 combined. The washer costs $81 less than the dryer.To Find:
What is the cost of the dryer?
Solve:
Let's the price of the washer is w and the price of the dryer is d.
Thus,
w + d = 669
d - 81 = w
To find the cost of the dryer, we just need to substitute it for w in the first equation:
(d - 81) + d = 669
2d - 81 = 669
2d = 750
d = 375
Hence the cost of the dryer is $375.
~Learn with Lenvy~
PLS HELP IM GOING TO FAIL AND REDO THIS YEAR PLS Select the two lines that have a slope of 5/2. *
A
B
C
D
E
Answer:
C
Step-by-step explanation:
Malia has
1/8 liter of juice. She distributes it equally to 3 students in her tutoring group. What fraction of the juice does each student get?
Answer: 1/24 L
Step-by-step explanation:
[tex]$\frac{1}{8} L \div 3= \frac{1}{8} \div \frac{3}{1}= \frac{1}{8} \times \frac{1}{3}=\frac{1}{24} \quad$ \\\\\begin{aligned}\therefore \text { Each student will get } &\frac{1}{24} L \text { of juice. }\end{aligned}[/tex]
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
[tex]\frac{1}{8}\div \:3[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]
[tex]=\frac{1}{8}\div \frac{3}{1}[/tex]
[tex]=\frac{1}{8}\times \frac{1}{3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{1\times \:1}{8\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1[/tex]
[tex]=\frac{1}{8\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8\times \:3=24[/tex]
[tex]=\frac{1}{24}[/tex]
Thus, 1/24 on fraction of juice each student get.
[RevyBreeze]
the ratio between diameter and dircumference of circle is ......................
Answer:
The ratio of the circumference of a circle to its diameter and is called π (Pi).
Step-by-step explanation:
what is the volume of 5cm 3 cm 2cm
6. If George’s mom needs 3 kilograms of sliced cheese for a family party, how many
packages will she need to buy?
help meeeeeeeeeeeeee∅
Answer:
6 package
Step-by-step explanation:
Given:
Amount of cheese needs = 3 KG = 3,000 gram
Assume;
1 package of cheese = 500 gram
Find:
Number of package need
Computation:
Number of package need = Amount of cheese needs / 1 package of cheese
Number of package need = 3,000 / 500
Number of package need = 6 package
There are many cylinders with radius 6 meters. Let h represent the height in meters and V represent the volume in cubic meters. Which equation represents the volume V as a function of the height h?
The equation that represents the volume of the cylinder is 36πhhh m³.
Explanation:
Formula: volume of a cylinder = πr²h
pi = π = 22/7
r = radius
6² πhhh
36πhhh m³
The friend has some quiz corrections currently, so anyone who helps thank you.
The width of the rectangle is 50% of its length. (18ft is length) What is the AREA of the rectangle.
Answer:
Area = 162 ft.^(2)
Step-by-step explanation:
50% of 18 ft. = 9 ft.
9 x 18 = 162 ft.^(2)
y = 2x2 + 3 y = x + 2 how many solutions?
Answer:
There are infinity answers to this
Step-by-step explanation:
I need help plsssssssssssssss
Answer:
1. A
2. I
3. R
Step-by-step explanation:
The opposite of a number is just adding or removing a minus sign.
For -6, we just remove the - and get 6.
For 0, this is a special case. It always stays as 0, because -0 does not exist.
For 18, we just put a minus sign and get -18.
A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent? (4 points) a the distance above the surface of the lake b the distance below the surface of the lake c the surface of the lake d the height of the fish
The answer would be the surface
There are 12 corn stalks, 6 tomato plants, 4
squash plants, and 2 cucumber plants in the
garden. What is the probability of randomly
picking a tomato or squash plant from the garden?
O 5/12
O 4/24
O 6/10
O 1/4
The probability of randomly picking a tomato or squash plant from the garden is 5/12.
What is probability ?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
What is the probability of randomly picking a tomato or squash plant from the garden?Probability = (total number of tomato / total number of fruits) + (total number of squash / total number of fruits)
total number of fruits = 12 + 6 + 4 + 2 = 24
(6/24) + (4/24) = 10/24 = 5/12
To learn more about probability, please check: https://brainly.com/question/26321175
Help. I can’t seem to figure out how to get the answer.
Answer:
15. 80 benches
16. 45 cost units
Step-by-step explanation:
The two problems together are asking you to find the coordinates of the vertex of the cost function. To do this you can use the procedure for writing a quadratic in vertex form.
C(x) = 0.1x^2 -16x +685
= 0.1(x^2 -160x) +685 . . . . . . factor out the leading coefficient
= 0.1(x^2 -160x +6400) +685 -(0.1)(6400) . . . add and subtract 0.1(6400)
C(x) = 0.1(x -80)² +45 . . . cost function in vertex form
__
15.The number of benches that minimizes the cost function is the x-coordinate of the vertex. That is the value that makes the square equal to zero.
x = 80 . . . benches
__
16.The minimum value of the cost function is the value obtained when the squared term is zero:
C(80) = 0.1(80 -80)² +45
C(80) = 45
The minimum cost per bench is 45. (The problem statement gives no units for cost. It could be pesos, or millions of rubles. We can't tell.)
_____
Additional comment
The square of a binomial is ...
(x +a)² = x² +2ax +a²
You will notice that the constant (a²) is the square of half the x-coefficient. To "complete the square", we put the equation in a form where we have (x² +2ax) in parentheses. Then we divide the x-coefficient by 2, and add its square inside parentheses: (x² +2ax +a²) and rewrite to the form of a square: (x +a)².
In order to keep the expression the same, we must subtract the same quantity elsewhere in the equation. Outside parentheses, it must be multiplied by the coefficient in front of the parentheses. In the above, we added (0.1)(6400) and subtracted (0.1)(6400) so that we could rearrange the cost function to vertex form: a(x -h)² +k has vertex (h, k).
__
We find a graphing calculator to be an extremely handy tool for dealing with polynomial functions. The attached shows the graph of the cost function. The calculator marks the vertex for us. Since it is a plot of cost versus number of benches, the units of the vertex are (benches, cost units).
2
b.
b.
(n+ 6n - 4)(2n - 4)
---
Simplify each expression into its standard form
Answer:
14n^2-36n+16 is the answer
What is the volume of a beach ball with a radius of 13 centimeters?
Answer:
It is 9202.77
(rounded off)
Step-by-step explanation:
Volume=4/3*π*radius^3
The beach ball described is 4/3*π*13^3
Answer:
4/3 πr^13
4/3 π 13^3
4/3 π 2197 = 9202.77
Which data value is farthest from the mean? How far you is this value from the mean? Round to the nearest hundredths. 34,37,48,32,25,34,35,23,33,30.
Answer:
48; 14.90 or 14.9
Step-by-step explanation:
First you have to take the mean of the data set.
In order to do this, we take the sum of all of the data points and then divide them by the number of values like so...
[tex]\frac{34+37+48+32+25+34+35+23+33+30}{10}[/tex]
The answer to this is 33.1.
Now we have to find the value furthest from this value. In order to do this, we are going to take the highest (48) and the lowest value(23). Then we compare their distance from 33.1. After this, we can tell that 48 is further from 33.1 than 23 is.
Then for the second part, 48-33.1 = 14.90 and that is how far the value is from the mean.
Find the slope of the line. m=
Answer:
See below.
Step-by-step explanation:
(-1,2),(3,-1)
-1-2/3-(-1)
-1-2/3+1
-3/4
The slope is -3/4.
-hope it helps
The midpoint of a line segment partitions the line segment into a ratio of
1:1.
1:2.
2:1.
2:3.
Answer:
1:1
Step-by-step explanation:
First choice