What are the zeros of the function
f(x)=x^2-7x−30
Answer:
x = 10 , -3Step-by-step explanation:
x² - 7x - 30 = 0
x² + 3x - 10x - 30 = 0
x ( x + 3 ) - 10 ( x + 3 ) = 0
( x - 10 ) ( x + 3 )
x = 10 , -3
Answer:
-3 and 10
Step-by-step explanation:
[tex]f(x)=x^2-7x-30[/tex]
1) Factor the equation
First, find two factors of -30 which has a sum of -7.
⇒ These two factors are 3 and -10.
Then, write the equation as a product of two binomials.
[tex]f(x)=(x+3)(x-10)[/tex]
2) Find the zeros
The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:
x+3=0
x=-3
or
x-10=0
x=10
Therefore, the zeros of the function are -3 and 10.
I hope this helps!
41 Sam has traveled 800 miles in 1.5 days. How
long would it take him to make a cross-country
trip of 2,500 miles traveling at the same average
speed?
A 3.45 days
4.69 days
4.98 days
05.12 days
please answer as soon as possible!!!
Answer: A or D
Step-by-step explanation:
Look, I’m sorry but I couldn’t find the number of days so your choices are ether A or D. 800 x 3.125 = 2500. I multiply 3.125 and 1.5 but got 4.6875
A concert was attended by 250 people if 30% of the people went to the basketball game, how many people went to the basketball game.
Answer:
75
Step-by-step explanation:
Answer:
75 People attended the basket ball game.
Step-by-step explanation:
If you multiply your percent by your total number you get the answer
0.30 x 250 = 75
Vanna is saving for a trip. The hotel room will be $298.17 for 3 nights, and there will be additional fees. What is her daily cost?
Answer:
The daily cost is $99.39.
Step-by-step explanation:
In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:
$298.17/3=$99.39
According to this, the answer is that the daily cost is $99.39.
F(x) = x^2 -7x +14, g(x) = 4x -9
Find (g ° f)(x)
Answer:
Set up the composite result function.
g(F(x)) Evaluate g(x2−7x+14)
by substituting in the value of F into g.
g(x2−7x+14)=4(x2−7x+14)−9
Simplify each term.
g(x2−7x+14)=4x2−28x+56−9
Subtract 9 from 56.
g(x2−7x+14)=4x2−28x+47
Step-by-step explanation:
Help please!! What would you do to get "X" all by itself on the
left side of the equation?
Answer:
Add 1
Step-by-step explanation:
I hope this helps :)
Answer:
You would need to add one
Step-by-step explanation:
Since there is a negative one, you will get rid of it by adding one
(Just do the opposite of the the sign)
HAVE A GREAT DAY! :)
Help please!! Will give 5 star rating for correct answer!!
Answer:
x = 74 degrees
Hope that helps
Answer:
74
Step-by-step explanation:
2x+32=180
2x=148
x=74
The only way that you shouldn’t do is wrong and I can get it on your website if it does commager you know how it is now it doesn’t matter if I don’t have to the text I want it I can put the link in it I have never a text from the other person that is a good but it’s a little more user to do that I don’t know why I can’t even see that it is not the same thing.
Umm wha? This makes no sense to me. Like what are you sayin
Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
Karl used his credit card to buy a 90-inch HD flat-screen TV for $2,600. The credit card company charges 28% compound interest per year. If Karl made no payments for 2 years, how much would he owe the credit card company?
thx in advance
Answer:
6000 is the answer lol I know it is cause I am in math
A square has an area of 100cm^2.What is the perimeter of the square?
Answer:
40 cm
Step-by-step explanation:
Perimeter of a square = 4a
=4 ( 10 )
=40cm
Have a nice day!
plz i need to findthe area of the octagon plzzzzzz help
Answer:
Check pdf
Step-by-step explanation:
+
deltamath.com/student/solve/13017914/trig Findside 1
watch help video
In ATUV, the measure of _V=90°, the measure of ZT=66°, and TU = 93 feet. Find
the length of VT to the nearest tenth of a foot.
U
93
660
T
V
X
Answer:
VT = 37.8 ft
Step-by-step explanation:
Here, we want to get the measure of VT
We need the diagram of the triangle here
We can get this in the attachment
From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle
VT does not face the given angle , nor the right angle; this mean VT is the adjacent
Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine
Thus;
cos 66 = VT/UT
cos 66 = VT/93
VT = 93 * cos 66
VT = 37.83
To the nearest tenth of a foot, VT = 37.8 ft
Which
equation is represented by the graph?
Answer:
Cosine graph
Step-by-step explanation:
Mark as brainliest
Chloe is planning an event and purchasing floral arrangements. At Petals Plus, the arrangements cost $33.05 each, and the store charges $64.00 for delivery of the flowers to the event site. At Blooms, the arrangements cost $26.04 each, and the store charges $105.00 for delivery of the flowers to the event site. How many arrangements should she purchase from Blooms in order to get a better value? A. 6 B. 5 C. 4 D. 1
Answer:
A. 6
Step-by-step explanation:
Petals Plus = 33.05x + 64
Blooms = 26.04x + 105
Equate
33.05x + 64 = 26.04x + 105
33.05x - 26.04x = 105 - 64
7.01x = 41
x = 41 / 7.01
x = 5.85
She should purchase 6 arrangements from Blooms in order to get a better value
Check:
Petals Plus = 33.05x + 64
= 33.05(6) + 64
= 198.3 + 64
= 262.3
Blooms = 26.04x + 105
= 26.04(6) + 105
= 156.25 + 105
= 261.24
Petals Plus = 33.05x + 64
= 33.05(4) + 64
= 132.2 + 64
= 196.2
Blooms = 26.04x + 105
= 26.04(4) + 105
= 104.16 + 105
= 209.16
ABC is isosceles AC=20 and BC= 3x-7
Answer:
x=9
Step-by-step explanation:
{(2,0), (4,0), (6,0), (8,0)}
Answer:
whats the question
Step-by-step explanation:
Which of the following represents 4 square root x3 in exponential form?
1) x^3/4
2) x^4/3
3) 4x^3
4) 3x^4
Answer:
3
Step-by-step explanation:
im in 8th grade this is what were doing right now
find the area will mark brain list
Answer:
43
Step-by-step explanation:
18+10=28 10+5=15 15+28=43
a line has a slope of -2 and includes the points (-1,r) and (2,4). write the value of r in the empty box
Answer:
r= 10
Step-by-step explanation:
This equation shows how the cost of a photography session is related to its duration in hours.
c = 20d
The variable d represents the duration of the session in hours, and the variable c represents the cost. What is the duration, in hours, of a photography session that costs $20?
Answer:
1 hour
Step-by-step explanation:
c= 20d
here, c=$20
$20=20d
or, d= 1 hr
Trigonometry mixed please help
-6x²-11x-4 which equatin is equivalent
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
Any time you multiply/divide both sides with a negative the inequality will be reversed!
Answer:
c and d
Step-by-step explanation:
Really don't understand what the question is asking me to do? Please help
Answer: 105
Step-by-step explanation:
Im not sure what shape that this but I think its a volume problem,
Find the height, length, And the With of the shape,
Height=5
Length=7
With=3
5x7x3=105
look at this table
is this relation a function
Answer:
i believe function !
Step-by-step explanation:
cuz im smart
Answer:
No
Step-by-step explanation:
The tables shows two inputs that are the same value which is not possible in a function
The graph below shows the solution to which system of inequalities?
Answer:
B: y >= 2
y < x
Step-by-step explanation:
The system of equations is the equations of the two line
The flat line is constant (doesn't increase or decrease) and has a y-intercept at two, so the equation for it is y = 2. Notice the shaded region is above the line, and it is not a dotted line so it is y >= 2.
The second line has a y-intercept at 0 and seems to have a slope of 1, so the equation for it is y = x. Notice the shaded region is below the line, and it is a dotted line so it is y < x.
What is the value of |-8|
Answer: 8
Step-by-step explanation:
The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.
More examples: |9|=9
Have a nice day! :D
if the force of an object is 100N and the mass is 25Kg, what is the acceleration?
Answer:
4ms-²
Step-by-step explanation:
Applied Force=100N
Mass of the object=25Kg
Let the acceleration be 'a'.
Force=Mass*Acceleration
100=25*a
100/25=a
4=a
unit 7 polynomials and factoring homework 7 factoring trinomials answer key