Answer:
x = ± 3, x = ± 2i
Step-by-step explanation:
Given
f(x) = (x² + 4)(x² - 9)
To find the zeros let f(x) = 0, that is
(x² + 4)(x² - 9) = 0
Equate each factor to zero and solve for x
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i
Thus zeros are
x = - 3, x = 3 ← real
x = - 2i, x = 2i ← complex
I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!
Answer: 16
Step-by-step explanation:
The 7 and the 9.
Look closely
Which distribution is positively skewed?
Answer:
D
Step-by-step explanation:
not positive but i think it would be D
Option C is the distributions are positively skewed.
Since, A distribution that is positively skewed would have the following highlights:
More points on the left, if represented on a dot plot
Tall bars on the left, if represented on a histogram
Whisker on the left, if represented on a box plot
The above means that none of the distributions are positively skewed.
This is so because:
A is negatively skewed because the whisker is at the right
B and C are symmetrical because there are tall bars at the middle
D is positively skewed because the whisker is at the left.
Hence, Option D is the distributions are positively skewed.
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ols help and hurry ASAP Find m4+ 1/m4 , if m− 1/m =3.
Answer: 257/16
Step-by-step explanation:
You are given the algebraic expression: m^4+ 1/m^4
if m− 1/m = 3
Solve for m by cross multiplying
m - 1 = 3m
Collect the likes terms
3m - m = -1
2m = -1
m = -1/2
Substitutes m into the algebraic expression above.
(- 1/2)^4 + 1/(- 1/2)^4
Open the bracket
1/16 + 1/(1/16)
1/6 + 16
16(1/16) or 257/16
P(A) = .20 P(B) = .25 P(A and B) = .10 What is P(B given A)
P(B given A) = P(A and B) / P(A)
P(B given A) = 0.10 / 0.20
P(B given A) = 0.50
The sum of all the interior angles in a triangle is blank degrees.
Answer:
180 degress
Step-by-step explanation:
triangles always add up to 180
Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT
Answer:
Correct Answers: D,C,B
Step-by-step explanation:
I took the test and got these as the right answers Hope this helped if not I tried
A group of friends decide to buy bulk chocolate from a candy store. If some friends each want 15/13 kilograms of chocolate of the 30 kilograms purchased, then how many people can get a share of chocolate?
Answer:
Se elas quererem 15, duas pessoas. Mas, se quiserem 13, 2,3076923077
Step-by-step explanation:
30 dividido pra 2 dá 15.Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?
Answer:
infinitely fast
Step-by-step explanation:
To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.
Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)
_____
speed = distance/time
Multiplying by 2, we get ...
2×speed = 2×distance/time . . . . . the time hasn't changed
Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
0 4x - y = -6
O x + 4y = 7
Ox - 4y = -9
O 4x + y = 2
Answer:
The answer is x + 4y = 7
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
Slope of the line between the points
(-1, 2) and (3, 1) is
Slope = 1-2/ 3+1 = - 1/4
Equation of the line using point
(-1, 2) is
y - 2 = -1/4(x + 1)
4y - 8 = - x - 1
x + 4y = 7
Hope this helps you
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
Step-by-step explanation:
R is between (-3) & (-4)
So, R = - 3.5
Answer:
Step-by-step explanation:
R= -3.5
Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?
Answer:
6:3
Step-by-step explanation:
the ratio of Quinn's throws to Sam's throws would be 6:3
Answer:
2:1
Ratio of Quinn's free throws to Sam's free throws
Suppose you roll a number cube. What is the theoretical probability of rolling a 5?
Answer:
1/6
Step-by-step explanation:
There are 6 possible outcomes when you roll a die
1,2,3,4,5,6
P(5) = number of outcomes with a 5/ total outcomes
=1/6
please help for math
Answer:
2.35 m²
Step-by-step explanation:
Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.
1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width
1 m · 2 m = 2 m²
2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)
3.14(0.5)² = 0.785
0.785 ÷ 2 = 0.3925 m²
3. Combine the total area
2 + 0.3925 = 2.3925
4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)
0.2² = 0.04 m²
5. Subtract the area of the square from the total area
2.3925 - 0.04 = 2.3525
2.3525 rounds to 2.35 m²
A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated
Mathematics, Help, not sure about my answer on this one
Answer:
F. 2 1/9
Step-by-step explanation:
Step 1: Substitute q
[tex]r = 3(\frac{1}{3^n} )+2[/tex]
When you plug in n = 1, 2, 3:
n(1) = 3
n(2) = 2.11111
n(3) = 2.3333
So our answer is F.
Three congruent isosceles triangles $DAO$, $AOB$ and $OBC$ have $AD=AO=OB=BC=10$ and $AB=DO=OC=12$. These triangles are arranged to form trapezoid $ABCD$, as shown. Point $P$ is on side $AB$ so that $OP$ is perpendicular to $AB$.
Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$. When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. The ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ in simplified form is $p:q$. Find $p+q$.
Answer:
p+q = 12
Step-by-step explanation:
Let's draw the diagram obtained from the given information. Find attached the diagram.
When X and Y divides the line AD and line BY into half respectively, the diagram splits into two trapezoid.
See attachment for diagram.
Ratio of area ABYX to XYCD = p:q
p+q = ?
Area of trapezoid = ½(base 1 + base 2)height
For trapezoid ABYX:
Base 1 = AB = 12, Base 2 = XY
Using Pythagoras theorem to find height of ∆AOB
AO² = AP² + PO²
PO² = (10²-6²) = (100-36)
PO = √64 = 8
height of trapezoid ABYX =h = ½ PO
= 8÷2 = 4
base of triangles in trapezoid ABYX:
base² = 5² -4² = (25-16)
base = √9 = 3
XY = 12+3+3 = 18
Area of trapezoid ABYX = ½(AB + XY)height
= ½(12+18)×4
= ½(120) = 60
Area of trapezoid XYDC = ½(XY + DC)height
Height of both trapezoid = ½ PO = 4
base of triangles in trapezoid XYCD = 3
DC = 3+18+3 = 24
= ½(18+24)×4
= ½(168) = 84
Ratio of both areas
p:q = 60: 84
p:q = 5:7
p+q = 5+7
p+q = 12
The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
Which points lie on more than one plane?
O A ands
X and Y
O Mands
M and R
Answer:
x and y
Step-by-step explanation:
x and y are on the intersection of the 2 planes, meaning they lie on more than 1 (two) planes.
If we're being technical, it's all of them, because an infinite amount of planes go through 2 points.
< B is opposite
А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA
The angle ∠B is opposite AC in the triangle.
Option A is the correct answer.
We have,
From the triangle,
There are three angles:
∠A, ∠B, and ∠C.
And,
The sides opposite to each angle are:
AC is opposite ∠B
AB is opposite ∠C
BC is opposite ∠A
Thus,
The angle ∠B is opposite AC in the triangle.
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The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Answer:
5.1
Step-by-step explanation:
I think im not shure
Answer:
5.05050505....% so about 5.1%
Step-by-step explanation:
Hope this helps!
How many integers lie between:
-1.25 and 2.6
Answer:
4
Step-by-step explanation:
An integer is a number that is not a decimal or a fraction.
The integers that lie between -1.25 and 2.6 are -1, 0, 1, and 2. They are all numbers with no decimal or fraction.
So, there would be 4 numbers that lie between -1.25 and 2.6.
Answer:
1
Step-by-step explanation:
i need help i cant do this somebody plz A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?
Question 3(Multiple Choice Worth 1 points)
(06.02 LC)
A scatter plot is shown below:
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 9.1 and 2, 8 and 3, 7.6 and 4, 6.1 and 5, 5 and 6, 4 and 7,4 and 8, 3 and 9, 2.5 and 10, 1.
Which two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot?
(4.5, 10) and (10, 6.5)
(0, 9.8) and (10, 1.2)
(0, 4) and (5, 0)
(0, 6) and (7, 0)
Answer:
(0,9.8) and (10,1.2)
Step-by-step explanation:
it makes the best line
The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).
Option B is the correct answer.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine which two ordered pairs can be joined to draw the most accurate line of best fit for the scatter plot, we need to look for pairs of points that are representative of the overall trend in the data.
We can plot the given points and visually inspect the scatter plot to find the line of best fit.
10| o
| o
9 | o
| o
8 | o
| o
7 | o
| o
6 | o
|o
5 |o
| o
4 | o o
| o
3 | o
| o
2 | o
| o
1 | o
|____________________________
0 1 2 3 4 5 6 7 8 9 10
From the scatter plot, we can see that there is a general downward trend from left to right and that the points are somewhat scattered around this trend.
One possible way to draw the line of best fit is to connect the points (0, 9.8) and (10, 1.2).
This line represents the overall trend in the data and passes close to many of the given points.
Therefore,
The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).
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*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.
Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.
Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°
Answer:
B) 122 degrees.
Step-by-step explanation:
Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:
9x - 5 + 14x + 24 + 90 + 90 = 360
9x - 5 + 14x + 24 = 180
23x + 19 = 180
23x = 161
x = 7
So the obtuse angle = 14(7) + 24
= 98 + 24
= 122 degrees.
expression
equation
formula
identity
inequality
term
factor
multiple
Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y
Answer:
Term
Expression
Step-by-step explanation:
8y is a term in the expression
7x + 8y
There are two terms in the expression 7x + 8y
First is 7x
Second is 8y
7 and 8 are coefficient of x and y respectively
7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.
Unlike an equation that has the Equal to sign(=)
There are three basic types of expression:
1. Arithmetic expression
2. Character expression
3. Logical or relational expression
How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
Answer:
We decreased by 37%
Step-by-step explanation:
Let x be the starting temperature
We decrease by 10 percent which means we are left with 100-10 =90 percent
.90 x
Then we decrease by 30 percent, 100 - 30 = 70
( .90x) * .70
.63x
We have .63 of the original left or 63%
100 -63 = 37
We decreased by 37%
Answer:
37% and it decreased
Step-by-step explanation:
Determine the slope of the lines parallel and perpendicular to -4x+3y=11
Answer:
parallel = 4/3
perpendicular =-3/4
Step-by-step explanation:
Solve for y
-4x+3y=11
Add 4x to each side
3y = 4x+11
Divide by 3
y = 4/3 x +11/3
This is in the form y = mx+b where m is the slope
m =4/3
The parallel line has the same slope
parallel slope is 4/3
The perpendicular line has a negative reciprocal slope
m = -(1 /4/3) = - 3/4
Answer:
[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 4x + 3y = 11 ( add 4x to both sides )
3y = 4x + 11 ( divide all terms by 3 )
y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{4}{3}[/tex]
Parallel lines have equal slopes, thus
slope of parallel line = [tex]\frac{4}{3}[/tex]
Give a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]
(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.
Answer:
X = 1, 2.
Step-by-step explanation:
In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.
Hope this helps!
50 POINTS TIMED!! Which of the following shows the graph of y = 4x + 3? On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.
Answer:
1st Graph
Step-by-step explanation:
Parent Graph of Exponentials: f(x) = a(b)^x + d
Since we are only modifying the base exponent and d (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.
Alternatively, we could graph the equation and choose the best fit:
Answer:
Step-by-step explanation:
f(x) = a(b)^x + d