f(x) = x^2 – 3x +18 What is the value of the discriminant of f? How many distinct real number zeros does ſ have?
Answer:
0+=x^2-3x+18
Step-by-step explanation:
I'm smort- but if its wrong I apologize
The equations of three lines are given below.
Line 1: 3x - 6y= 6
Line 2: y= - 2x-8
Line 3: y= - 2x + 4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2:
Parallel
Perpendicular
Neither
X
2
Line 1 and Line 3:
Parallel
Perpendicular Neither
Line 2 and Line 3:
Parallel
Perpendicular
Neither
Answer:
line 1 and 2 = Perpendicular
line 1 and 3 = Perpendicular
line 2 and 3 = Parralel
Step-by-step explanation:
Using Desmos to put in the equations, it shows that it's the answer I provided above.
Paul invited 221 people to a party. All but 33 people accepted. All but 4 of those who accepted actually attended. Half of the people who attended brought a friend.
How many people came to the party?
Explain.
Answer: 426
Step-by-step explanation:
221 - 33 = 288
288 - 4 = 284
284 / 2 = 142
284 + 142 = 426
which Expression is equivalent to 48z +42q
A) 6(8z+7q)
B) 6*8z+7q
C) 8z+7q
Answer:
6(8z+7q)
Step-by-step explanation:
48z+42q
Factor out 6.
6(8z+7q)
62%
a) The nth term of a sequence is 2n - 3
Work out the first three terms of the sequence.
[2]
b) Write down an expression for the nth term of the following sequence.
9, 14, 19,
[2]
24,
BH
Answer:
(a) [tex]Sequence: -1, 1, 3[/tex]
(b) nth term: [tex]T_n = 4+ 5n[/tex]
Step-by-step explanation:
Solving (a)
Given
[tex]T_n = 2n - 3[/tex]
The first 3 terms.
When n = 1
[tex]T_1 = 2*1 - 3[/tex]
[tex]T_1 = 2 - 3[/tex]
[tex]T_1 = -1[/tex]
When n = 2
[tex]T_2 = 2*2 - 3[/tex]
[tex]T_2 = 4 - 3[/tex]
[tex]T_2 = 1[/tex]
When n = 3
[tex]T_3 = 3*2 - 3[/tex]
[tex]T_3 = 6 - 3[/tex]
[tex]T_3= 3[/tex]
So, the first three terms are:
[tex]Sequence: -1, 1, 3[/tex]
Solving (b)
Given
[tex]Sequence: 9,14,19,24[/tex]
Required
The nth term
The sequence is arithmetic.
So, first calculate the common difference (d)
[tex]d = 14 - 9[/tex]
[tex]d = 5[/tex]
The nth term is then calculated as:
[tex]T_n = a + (n - 1) * d[/tex]
Where
[tex]a =First\ term[/tex]
So:
[tex]a = 9[/tex] and [tex]d = 5[/tex]
[tex]T_n = 9 + (n - 1) * 5[/tex]
[tex]T_n = 9 + 5n - 5[/tex]
Collect like terms
[tex]T_n = 9 - 5+ 5n[/tex]
[tex]T_n = 4+ 5n[/tex]
A bag contains one green marble, two yellow marbles, four blue marbles, and five red marbles.
What is the theoretical probability of randomly drawing a blue marble from the bag?
Answer:
4/12
Step-by-step explanation:
you add all the marbles together and then make a fraction
Gina is shopping for a new bicycle. The price of the bicycle is $300 and there is an 8% sales tax. Gina wants to know the total price of the bicycle including soles tax. How much sales tax does Gina pay on the bicycle? Enter the amount in the table.
Answer:
24
Step-by-step explanation:
The person above me is incorrect . I got it right on the i-Ready Quiz!
WHAT PROPERTY IS USED IN THIS EQAUATION (x + y)z = xz + yz
Answer:
Distributive Property.
Step-by-step explanation:
6. Edgar pays $67.86 for 7.8 pounds of fertilizer. What is
the price per pound of fertilizer?
O F. $6.98
O G. $5.65
H. $8.70
O J. $10.26
will mark brainlyest
After dividing, the price per pound of fertilizer, we get $8.70.
Hence, Option H is correct.
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number into smaller ones such that the larger number obtained will equal the multiplication of the smaller numbers.
Given that,
Edgar pays $67.86 for the fertilizer.
The weight of the fertilizer is 7.8 pounds.
To find the price per pound of fertilizer,
Divide the total cost by the number of pounds.
In this case, we have $67.86 for 7.8 pounds of fertilizer.
So, the price per pound of fertilizer would be:
67.86/7.8 = $8.70.
Hence,
The price per pound of fertilizer is $8.70.
To learn more about division visit:
https://brainly.com/question/11840361
#SPJ6
pls help this question i want its aregent
Step-by-step explanation:
Answer 3
multiply 4 by -20
1/4×-20
= -20/-20
= 1 answer
Convert 86,000poumds to tons
Answer:
43 tons is the answer :)
Step-by-step explanation:
:))))))))))
Which of the following equations, represents the line with a slope of -2/5 and a y-intercept of 2?
1) y = -2/5x -2
2) y = -2/5x + 2
3) y = 2/5x - 2
4) y = 2/5x + 2
Answer:
2)
Step-by-step explanation:
Y intercept means x=0.
y=mx+c
m is the slope
y=-2/5x+c
Y intercept is 2
y=(-2/5)0+c =2
Consider this right triangle
From a point on a circle, two perpendicular chords are drawn. One is 6 cm from the center and the other is 3 cm from the center. Find the lengths of these chords.
Answer
the lengths of the chords are 12 cm and 6 cm
Answer:
The lengths of the chords are 12 cm and 6 cm
Step-by-step explanation:
See attached image
Hope this helps! :D
PLEASEEEEE HELPPP!!!!!!
Which integer represents Deposit of $75
A: -75
B: 75
C: -57
D: 57
Answer:
B: 75
Step-by-step explanation:
Its B:75 because if you deposit $75 into your bank account, that means you're ADDING 75 dollars to your account which would be positive. If you make a withdrawal, it would be negative because you're taking money OUT of the account.
You are planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to know the area of the garden to determine how much topsoil you need. view attachment
Answer:
area = 1/2*b*h
h^2=hypotenuse^2-base^2
h^2= 2^2-1^2
h^2=4-1
h^2=3
h=√3
1/2*2*√3
=√3
Can't manage to figure out this question. Can anyone help?
Answer:
Z=20
Y=16
X= 12
Step-by-step explanation:
Hope it helps
What is the domain of g?
Answer:
B************************
Brock Lesnar is standing next to his time machiner when he spots a pterodactyl soaring through the air. Brock Lesnar wants that pterodactyl for his trophy room. So he sets up his range finder and finds that the direct distance from the gun to the pterodactyl is 1000 yds. His angle of elevation to the pterodactyl is 17 degrees if Brock Lesnar his the pterodactyl. How far will he have to drag the dead pterodactyl along the ground to get it back to this time machine.
a. 1046 yds
b. 306 yds
c. 956 yds
d. 400 yds
e. 292 yds
Answer:
C. 956 ydsStep-by-step explanation:
Use cosine to solve this:
cos 17° = x / 1000x = 1000 cos 17°x = 956 ydsCorrect choice is C
Step-by-step explanation:
➡cos17=x/1000
using cross multiplication➡x=1000×cos17
➡x=956yards
Ms. Taylor has 25 students in her class. Only 7 of her students ride the bus to and from school. What percent of Ms. Taylor’s class does NOT ride the bus? The percent of students in Ms. Taylor's class that do not ride the bus is %.
Answer:
75
Step-by-step explanation:
Find the measure of 7
Answer:
97°
Step-by-step explanation:
83° alternates above 7
Hence angles on a straight line adds up to 180°
180-83= 97°
What is the value of the expression below when
x
=
5
x=5
x=5 and
y
=
2
y=2
y=2?
x
+
6
y
x+6y
x+6y
Answer:
17
Step-by-step explanation:
if x=5 and y=2 then
x+6y = 5+6x2
so 6x2= 12
12+5=17 sooooooo thats ur anwere plz thank meeeee
What is the probability the spinner will land on a quadrilateral?
Answer:
A, 5/8
Step-by-step explanation:
there are 5 quadrilaterals
Answer:
a
Step-by-step explanation:
the answer is a because there are 5 quadrilaterals and 8 spots
If f(x) = x + 3 and g(x) = -7x + 7, which statement is true? Click on the correct answer. 5 is in the domain of fºg. 5 is not in the domain of fºg.
Answer:
man you got this
Step-by-step explanation:
If f(x) = x + 9 and g(x) = 9x – 4, - 22024651. ... Click on the correct answer. 3 is not in the domain of fºg. 3 is in the domain of fºg. 1. See answer. Add answer+5 pts ... Answer: 3 is in the domain of f(g(x)). Step-by-step explanation: ... What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, ...
The domain is all real numbers except 9 (positive)
This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.
Answer:
5 is not in the domain of fog
Step-by-step explanation: [tex]g(f(x) = g(\sqrt{x+3} ) = -7(\sqrt{x+3}) +7[/tex] find the domain of [tex]-7(\sqrt{x+3}) +7[/tex] which is [tex]{x|x\geq -3[/tex] therefore any number greater than or equal do -3 are not in the domain. So 5 is not in the domain of fog
A woman decides to have children until she has her first girl or until she has five children; whichever happens first. Find the expected value and standard deviation of X. Let X represent the number of children she has. Assume that she is equally likely to give birth to a boy or a girl on each child, and that gender is independent between children.
(a) Write out and sketch the complete probability distribution function for X.
(b) Write out and sketch the complete cumulative distribution function for X.
(c) Find the expected value and standard deviation of X.
Answer:
E(X) = 1.9375
SD(X) = 1.20
Step-by-step explanation:
Let :
G = girl ; B = Boy
P(G) = 0.5 ; P(B) = 0.5
Sample space :
G, BG, BBG, BBBG, BBBBG, BBBBB
Using the multiplication rule of independence :
P(G) = 0.5
P(BG) = 0.5 * 0.5 = 0.25
P(BBG) = 0.5 * 0.5 * 0.5 = 0.125
P(BBBG) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625
P(BBBBG) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125
P(BBBBB) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125
Creating a probability distribution table :
X = 1, 2, 3, 4, 5
For X = 5 ;
P(BBBBG) + P(BBBBB) = 0.03125 + 0.03125 = 0.0625
X :___ 1 ____ 2 ____ 3 _____ 4 _____ 5
P(X) : 0.5 __ 0.25 _ 0.125 _0.0625 _0.0625
The expected value E(X) :
√(ΣX * P(X)) = (1*0.5)+(2*0.25)+(3*0.125)+(4*0.0625)+(5*0.0625) = 1.9375
The standard deviation SD(x) :
√(ΣX²*p(x) - E(X)²
√((1^2*0.5)+(2^2*0.25)+(3^2*0.125)+(4^2*0.0625)+(5^2*0.0625) - 1.9375^2)
√(5.1875 - 3.75390625)
√1.43359375
SD(X) = 1.197
SD(X) = 1.20
Leslie tunes a guitar with 6 strings and a piano with 37 times as many strings.
How many strings did the piano have?
Choose 1 answer:
(Choice A)
The piano has 422 strings, because 37×6=422.
(Choice B)
The piano has 222 strings, because 37×6=222.
(Choice C)
The piano has 6 strings, because 37÷6=6 remainder 1.
Suppose the scores on a history quiz are normally distributed with a mean of 73 and a standard deviation of 4.
Which group describes 16% of the population of history quiz scores?
scores below 65
scores below 75
scores above 77
scores above 81
Answer:
I really wasn't sure on this one, and I got it wrong on the quiz but the answer is the yellow option which is Scores above 77
explanation:
the volume of a cone is 3pix^3 cubic units and its height is x units witch expression represents the radius of the cones base in units. options are 3x, 6x, 3pix^2, 9pix^2
Answer:
3x
I had trouble imagining it, so I plugged in 3 as x. My answer when I solved for radius was 9, or in other words, 3x because x was 3.
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. How much more did Mel pay than Dave? show your work and answer in complete sentence. Round your answer to the nearest cent.
Answer:
4.6, or 4.60
Don't forget the dollar signs.
Step-by-step explanation:
8 percent of 15 = 1.2.
15-1.2=13.8
8 percent of 20 = 1.6
20-1.6=18.4
18.4-13.8=4.6
Answer:
4.6
Step-by-step explanation:
Find the Area of the figure below, composed of a parallelogram and one semicircle.
Rounded to the nearest tenths place
Answer:
I Don't Know
Step-by-step explanation It looks like a messed up ice cream cone.