Answer:
A
Step-by-step explanation:
Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):
[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
If the terminal point of ø is (1,0), what is tan ø?
Given:
The terminal point of [tex]\phi[/tex] is (1,0).
To find:
The value of [tex]\tan\phi[/tex].
Solution:
If the terminal point of [tex]\theta [/tex] is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that the terminal point of [tex]\phi[/tex] is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
[tex]\tan \phi=\dfrac{0}{1}[/tex]
[tex]\tan \phi=0[/tex]
Therefore, the value of [tex]\tan \phi[/tex] is 0.
In right triangle ABC, sin M = cos 61. If 0
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
If real estate agent earns a 3% commission and earned \$4,350 on the closing of a home What was the price of the home?
Answer:
Final price of house = $145,000 (Approx.)
Step-by-step explanation:
Given:
Rate of commission = 3%
Amount of commission = $4,350
Find:
Final price of house
Computation:
Final price of house = Amount of commission / Rate of commission
Final price of house = 4,350 / 3%
Final price of house = 4,350 / 0.03
Final price of house = 145,000
Final price of house = $145,000 (Approx.)
The diagram shows the shape of a plot of land that Maria will use for her garden.
Quadrilateral F G H J is shown. Sides G H and F J are parallel. The length of F G is 30 feet, the length of G H is 24 feet, and the length of H J is 24 feet. Angles H and J are right angles.
She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ?
18 feet
30 feet
36 feet
Answer:
42 feet
Step-by-step explanation:
edge
Answer:
The answer is D
Step-by-step explanation:
42 feet
y/7 + 2.1 = 9.1
solve for y.
Answer:
-79
Step-by-step explanation:
-9.1-2.1=-11.2
--79÷7=-11.2
Answer:
y = -78.4
Step-by-step explanation:
y/7+2.1-2.1=-9.1-2.1
y/7=-11.2
y/7*7=-11.2*7
y= -78.4
Which statement describes why the system has two solutions?
2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles
Answer:
2
Step-by-step explanation:
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
A box contains 6 black marbles and 4 white marbles. What is the probability of selecting a black marble at random from the box?
Answer:
3/5
Step-by-step explanation:
6 black marbles and 4 white marbles.= 10 marbles
P( black marble) = number of black marbles / total marbles
=6/10 = 3/5
Answer:
6/4 or 1 1/2
Step-by-step explanation:
because there is 6 black marbles and 4 white marbles
Type the correct answer in the box. Use numerals instead of words. what value of x satisfies this equation? log(2x)=2
Answer:
Espero te sirva
Step-by-step explanation:
Suerte *******
what is an angle formed by
Answer:
An angles is formed by 2 rays sharing the same endpoint which is called the vertex.
Answer:
an angle is formed by two rays that intersect or share the same endpoint.
PLZ HELP WILL GIVE BRAINLIEST
A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey.
How should the company select its sample of clients? Select two that apply.
The company should choose the first 50 clients that volunteer to take the survey.
The company should have a computer randomly generate a list of 200 clients to survey.
The company should survey every 5th client that makes an appointment.
Every employee in the company should recommend 1 client to survey.
Answer:
the company should survey every 5th client that makes an appointment.
the company should have a computer randomly generate a list of 200 clients to survey.
Graph y= -x2 - 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–1, 0); minimum
B. (0, –1); maximum
C. (0, –1); minimum
D. (–1, 0); maximum
Answer:
B. (0, –1); maximum
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 0 , − 1 )
Focus:
( 0 , − 5 /4 )
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
Use the formula
x
=
−
b
2
a
to find the maximum and minimum.
( 0 , − 1 )
( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8
Answer:
r = 4
a8 = 114,688
Step-by-step explanation:
a1=7
a11 = 7340032
a11 = a1*r^10
7340032 = 7 * r^10
7340032 = 7r^10
r^10 = 7340032/7
r^10 = 1,048,576
Find the 10th root of both sides
10√r^10 = 10√1,048,576
r = 4
a8 = a1 * r^7
= 7 * 4^7
= 7 * 16,384
= 114,688
a8 = 114,688
what is the average rate of change for the quadratic function for the interval from x = 3 to = 5?
Answer:
8x.
Step-by-step explanation:
coordinates: (3,10) (5,26)
use slope formula (y2 - y1/x2-x1)
26-10/5-3
16/2
= 8
How many families in Oats Township have two or more cars?
100
4
1
2
400
200
Answer:
200
Step-by-step explanation:
Good luck <3
Answer:
200
Step-by-step explanation:
hope it helps
line is defined by the equation 2 x + y = 4. Which shows the graph of this line?
Maria tutors history. For each hour that she tutors, she earns 20 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E=20h
How much does Maria earn if she tutors for 5 hours?
Answer:
Maria earns 100 dollars
E=100
Step-by-step explanation:
if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100
E=100
Answer:
100
Step-by-step explanation:
The equation is E=20h
E is the amount she earns.
20 is the amount of money she earns per hour.
h is the amount of hours she worked.
She worked 5 hours. h represents hours so plug in 5 where h is in the equation.
E=20h
E=20(5)
E= 20×5
E=100
Vani signed up for a streaming music service that costs $12 per month. The service
allows Vani to listen to unlimited music, but if she wants to download
offline listening, the service charges $1.25 per song. How much total money would
Vani have to pay in a month in which she downloaded 30 songs? How much would
she have to pay if she downloaded s songs?
Answer:
49.5 dollars first part and y=12+1.25x second part
Step-by-step explanation:
help help help help help help help
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
Please answer this!!!
Answer:
so a = -1 b = -1/4 and c = 7
Step-by-step explanation:
-x^2 - 1/4x +7
This is in the form
ax^2 + bx +c
so a = -1 b = -1/4 and c = 7
Answer:
[tex]a=-1[/tex]
[tex]b=-\frac{1}{4}[/tex]
[tex]c=7[/tex]
Step-by-step explanation:
Hope this helps:)
I need help with this
Answer:
Step-by-step explanation:
the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.
So ,here a=-1 ,b=-6 and c=-9
b^2=(-6)^2
=36
4ac=4*(-1)*(-9)
=4*9
=36
b^2-4ac=36-36
=0
number of solutions =1
Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?
Answer:
.........................
Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate
Answer:
Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2
so the radius times radius times 3.14
Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions, or simplified radical expressions.
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?
Answer:
72
Step-by-step explanation:
1 stamp costs 0.36 cents
Then, 200 post cards will cost 0.36 × 200 = 72
Answer:
$72 dollars
Step-by-step explanation:
200 x 0.36 = 72
Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .
Answer:
Step-by-step explanation:
Skewed left
50-60 and 60-70
8
On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)
Answer:
(3,-3)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)
Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)
Hence the required coordinate will be (3,-3)
Answer:
b 3 -3
Step-by-step explanation:
have a good day
can anyone help with this? find st and rt
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation: