Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
Step-by-step explanation:
determine the area and perimeter
Answer:
Area is the total surface covered by the shape and perimeter is the total length of the shape.
Help finding the sketch of a graph pls i’ll rate brainliest
Answer:
A
Step-by-step explanation:
X^3+1
Y int = 1
X int = -1
We can clearly see that the x int(when y = 0) for c = -3 so C is incorrect.
b is wrong because it's a quadratic(ax^2+bx+c) and d wrong because it linear(y=mx+c).
Knowing all this we can safely say that A is the correct answer choice.
Answer:
we firstly need to find x intercept and y intercept
X-18.6
_____=-0.326
15.3
Answer:
13.6122
Step-by-step explanation:
(x-18.6)/15.3=-0.326
x-18.6=-0.326*15.3
x-18.6=-4.9878
x=-4.9878+18.6
x=13.6122
If a = b, then a^2 = b^2
What is the proof of this statement?
Step-by-step explanation:
a²=b²
since a=b, therefore we can write a in place of b or b in place of a,
a²=a² or b²=b²
Hence, it is proved.
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6927÷19 plz help me
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
Really need to someone to break this down so I can understand it
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point P(2, -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)
Answer:
Part A)
The slope is two.
Part B)
[tex]\displaystyle y = 2x - 7[/tex]
Step-by-step explanation:
Part A)
We want to find the slope of the curve:
[tex]\displaystyle y = x^2 - 2x - 3[/tex]
At the point P(2, -3) by using the limit of the secant slopes through point P.
To find the limit of the secant slopes, we can use the difference quotient. Recall that:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex]
Since we want to find the slope of the curve at P(2, -3), x = 2.
Substitute:
[tex]\displaystyle f'(2) = \lim_{h \to 0} \frac{f(2 + h) - f(2)}{h}[/tex]
Simplify. Note that f(2) = -3. Hence:
[tex]\displaystyle \begin{aligned} f'(2) &= \lim_{h\to 0} \frac{\left[(2+h)^2 - 2(2+h) - 3\right] - \left[-3\right]}{h} \\ \\ &=\lim_{h \to 0}\frac{(4 + 4h + h^2)+(-4-2h)+(0)}{h} \\ \\ &= \lim_{h\to 0} \frac{h^2+2h}{h}\\ \\&=\lim_{h\to 0} h + 2 \\ \\ &= (0) + 2 \\ &= 2\end{aligned}[/tex]
(Note: I evaluated the limit using direct substitution.)
Hence, the slope of the curve at the point P(2, -3) is two.
Part B)
Since the slope of the curve at point P is two, the slope of the tangent line is also two.
And since we know it passes through the point (2, -3), we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitute. m = 2. Therefore, our equation is:
[tex]\displaystyle y + 3 = 2(x-2)[/tex]
We can rewrite this into slope-intercept if desired:
[tex]\displaystyle y = 2x - 7[/tex]
We can verify this by graphing. This is shown below:
If (x,-3) is a solution to the equation 4x = 5y - 1, what is the value of x?
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
Put the given point in the equation and solve for x.
4x = 5(-3) -1
4x = -16 . . . . . . simplify
x = -4
You buy butter for $4 per pound You need 4oz of butter for your formula How much does the butter for 1 portion cost?
(Urgent please!!) Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary. Use the /key to represent a fraction bar. Do not put spaces in your answer
Answer:
-5/4
Step-by-step explanation:
C is at the point (2,3) and D is at the point (6,-2)
-2-3 = -5 which would be the top part and 6-2=4 and that's the bottom part.
Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10
Answer:
c
Step-by-step explanation:
thats the anser
Milan sold an article for Rs 450 with a loss of 10%. Find his CP. At what price it should be sold so as to gain 5 %.
Pls-- help request!!
Santo chose c as the correct
I want to know how to solve this.
Answer:
B
I just did it and got it right
Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.
Answer: B
Step-by-step explanation:
The most likely the next pattern in the series is 2 lines with red color. Therefore, option B is the correct answer.
What is pattern?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
From the given patterns
Figure 1 has 5 lines and it is blue in color.
Figure 2 has 4 lines and it is red in color.
Figure 3 has 3 lines and it is blue in color.
So, Figure 4 must has 2 lines and red in color.
Therefore, option B is the correct answer.
Learn more about the pattern here:
https://brainly.com/question/23136125.
#SPJ7
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
Please help!!!! I have no clue how to do this
Answer:
It'll be the same figure- an acute isoceles triange
Step-by-step explanation:
Reflection is just copying the same shape across the x-axis (the main horizontal line on graphs) or the y-axis (the main vertical line on graphs). It's like looking at yourself in the mirror, like a reflection!
what are the exponent and coefficient of the expression 4b^-3
Answer:
exponent is -3 and coefficient is 4
Add -13 + 5. 8 -8 -18 18
how to complete this question?
Answer:
f(x) = [tex]-2^{x+1}-1[/tex]
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
= [tex]-2^{0+1} - 1[/tex]
= [tex]-2^{1}[/tex] - 1
= -2 - 1
y = -3
Got more question or somethin to discuss? Leave comment below
of the 420 students enrolled in basic math only 41% are first-year students. How many
are first-year students? How many are not?
Answer:
Step-by-step explanation:
There are 420 students.
41% are first year students.
41% = 41/100
420 * 41/100 = 172.4
What do you do about the 0.4? I would just round to the nearest whole number which is 172.
There are 420 - 172 = 248 who are not first year students.
X:3/2+1/2x=2x
I need to solve for x
Answer: x = 1
Step-by-step explanation:
Given
3/2 + (1/2)x = 2x
Multiply 2 on both sides to cancel out the denominator
2 · [3/2 + (1/2)x] = 2 · 2x
3 + x = 4x
Subtract x on both sides
3 + x - x = 4x - x
3 = 3x
Divide 3 on both sides
3 / 3 = 3x / 3
[tex]\boxed {x=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The temperature in a town is 33.6°F during the day and - 17.3°F at night. Find the difference in the temperatures.
The difference in temperature is
F.
Answer:
the difference between the temperatures is -50.9. f=-50.9
Step-by-step explanation:
33.6°F+17.3°F=50.9
33.6°F+F= -17.3°F
33.6°F+(-50.9°F= -17.3°F
so, F=-50.9°F
Step-by-step explanation:
d=T2-T1=(-17.3-33.6)=-50.9°F
Order the numbers from least to greatest
Answer:
B
Step-by-step explanation:
It just is
a continuous random variable is uniformly distributed in the interval a<X<b the Lower quartile is 5 and upper quartile is 9 find
a. the values of a and b
b. p(6<X<7)
c. the cumulative distributive function
راز
(a) X has a probabiliity density of
[tex]f_X(x) = \begin{cases}\dfrac1{b-a}&\text{if }a<x<b\\0&\text{otherwise}\end{cases}[/tex]
If the lower quartile is 5 and the upper quartile is 9, then
[tex]\displaystyle \int_a^5 f_X(x)\,\mathrm dx = 0.25 \text{ and } \int_9^b f_X(x)\,\mathrm dx = 0.25[/tex]
Computing the integrals gives the following system of equations:
[tex]\displaystyle \int_a^5\frac{\mathrm dx}{b-a} = \frac{5-a}{b-a} = 0.25 \\\\ \int_9^b \frac{\mathrm dx}{b-a} = \frac{b-9}{b-a} = 0.25[/tex]
5 - a = 0.25 (b - a) ==> 0.75a + 0.25b = 5 ==> 3a + b = 20
b - 9 = 0.25 (b - a) ==> 0.25a + 0.75b = 9 ==> a + 3b = 36
Eliminate a :
(3a + b) - 3 (a + 3b) = 20 - 3×36
-8b = -88
==> b = 11 ==> a = 3
and so P(X = x) = 1/(11 - 3) = 1/8 for all 3 < x < 11.
(b)
[tex]\displaystyle P(6<X<7) = \int_6^7f_X(x)\,\mathrm dx = \int_6^7\frac{\mathrm dx}8 = \boxed{\frac18}[/tex]
(c) The distribution function is then
[tex]\displaystyle F_X(x) = \int_{-\infty}^x f_X(t)\,\mathrm dt = \begin{cases}0&\text{if }x\le3 \\ \dfrac x8 &\text{if }3<x<11 \\ 1&\text{if }x\ge11\end{cases}[/tex]
Translate into a variable expression. the quotient of 43 less than m and twice m
Answer:
(m - 43)/2m
Step-by-step explanation:
2/8 of a rope is 28 meters.What is the length of the rope?
let length be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]
[tex]\\ \sf\longmapsto x=4(28)[/tex]
[tex]\\ \sf\longmapsto x=112[/tex]
Things did not go quite as planned. You invested $21360, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $, how much was invested at each rate? How much money was invested at 12% annual interest?
Answer:
1992
Step-by-step explanation:
Let x be the amount invested at 12%.
Then the rest amount is (21360-x) dollars.
The 12% stock earning is 0.12x dollars.
The rest amount loss is 0.05*(21360-x) dollars.
Your equation is
interest - loss = total interest, or
0.12x - 0.05*(21360-x) = 1992 dollars.
Simplify and solve for x.
Which diagram shows an angle bisector
B
if it is not correct sory
Diagram B is a proper demonstration of an angle bisector.
Letter A is wrong because they are a set of intersecting ines.
Letter C is wrong because they are a set of parallel lines.
Letter D is wrong because they are also a set of perpendicular lines.
So, now, we know that Letter B is the correct answer. The reason for this is also because ∠ACD is bisected by line B.
I hope that this helped answer your question. Have a good day!
Help me please!!!٩(๑꒦ິȏ꒦ິ๑)۶
the 1st one
9514 1404 393
Explanation:
Add sin(θ)
cos(θ) = sin(θ)
Divide by cos(θ)
1 = sin(θ)/cos(θ) = tan(θ)
Square both sides
1 = tan²(θ)
Add 1
2 = tan²(θ) = sec²(θ)
Take the square root
√2 = sec(θ) . . . . for 0 < θ < π
_____
Additional comment
The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.