Given:
The function is
[tex]f(x)=-5x-7[/tex]
To find:
The rate of change of the given function.
Solution:
We have,
[tex]f(x)=-5x-7[/tex] ...(i)
It is a linear function because the degree or power of x in this function is 1.
Slope of a linear function is always constant.
The slope intercept form of a linear function is
[tex]f(x)=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
On comparing (i) and (ii), we get
[tex]m=-5[/tex]
It means, the function has a constant rate of change, decreasing for all x at a rate of 5.
Therefore, the correct option is D.
I NEED HELP ASAP ! PLS!
Answer:
x = 106°
Step-by-step explanation:
sum of interior opposite angles of a triangular is equal to a exterior angle
= x +22= 40 +88
= x = 128- 22
x = 106 °
hope this answers will be helpful for you and plzzz mark my answer as brainlist plzzzz vote me also.....
Please can anyone help me?
Answer:
2 is the correct answer
Mrs. Garcia's math test is worth 50 points. If you answer all the questions and the extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?
Answer:
Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.
Which of the following is NOT a part of a DNA molecule?
Question 3 options:
A.Nitrogen base
B.Phosphate group
C.5 Carbon sugar
D.Amino acid. Will give brainliest
Amino acids
Step-by-step explanation:
In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.
Write the coordinates of point l' after the following translation:
4) translation: 4 units right and 2 units down
+y
1
H
X
Answer:
can you state what point I is?
Help me solve this problem please
Answer:
The second one .......
A housewife deposited Rs 10,000 on saving account at 5% p.a. interest compounded
yearly and another sum on fixed deposit account at 8% p.a. interest compounded
half yearly. After one year the interest on fixed deposit account
was Rs 152.80 more
than the interest on the saving account, find the total amount of money in her two
accounts at the end of the year.
Answer:
Rs. 3923.08
Step-by-step explanation:
First principal invested = Rs. 10000
Interest rate = 5%
The interest is compounded yearly.
Time = 1 year
1 year compound interest is equal to simple interest.
Formula for simple interest:
[tex]SI = \dfrac{PRT}{100}[/tex]
Interest on first sum = [tex]\frac{10000\times 5\times 1}{100} = Rs\ 500[/tex]
Another sum is on fixed deposit 8% compounded half yearly.
Let the sum = Rs [tex]x[/tex]
Formula for compound interest is given as:
[tex]CI = P(1+\frac{R}{100})^T - P[/tex]
It is compounded half - yearly, therefore T = 2
[tex]CI = x (1+\frac{8}{100})^2 - x\\\Rightarrow CI = x(1.08)^2-x = 0.1664x[/tex]
As per question statement:
[tex]0.1664x - 500 = 152.80\\\Rightarrow x = \dfrac{652.80}{0.1664} = Rs\ 3823.08[/tex]
On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4). Triangle S T U has points (2, negative 4), (negative 1, negative 2), (negative 1, negative 4). Complete the statements to verify that the triangles are similar. StartFraction Q R Over T U EndFraction = StartFraction P R Over S U EndFraction = StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = Therefore, △PQR ~ △STU by the theorem.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.
The distance between two points on the coordinate plane is given as:
[tex]Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6[/tex]
In triangle STU:
[tex]|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2[/tex]
|QR| / |TU| = 4/2 = 2
|PR| / |SU| = 6/3 = 2
|PQ| / |ST| = 2√13 / √13 = 2
Hence:
|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|
Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.
Similar triangles may or may not be congruent
Triangles PQR and STU are similar by SSS theorem.
The vertices of triangle PQR are given as:
[tex]P= (4, 4)[/tex]
[tex]Q= (-2, 0)[/tex]
[tex]R = (-2, 4)[/tex]
The vertices of triangle STU are given as:
[tex]S = (2, -4)[/tex]
[tex]T = (-1, -2)[/tex]
[tex]U =(-1, -4)[/tex]
Start by calculating the side lengths of the two triangles, using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
For triangle PQR, we have:
[tex]PQ = \sqrt{(4 --2)^2 + (4 -0)^2} = \sqrt{52}[/tex]
[tex]PR = \sqrt{(4 --2)^2 + (4 -4)^2} = 6[/tex]
[tex]QR = \sqrt{(-2 --2)^2 + (0 -4)^2} = 4[/tex]
For triangle STU, we have:
[tex]ST= \sqrt{(2 --1)^2 + (-4 --2)^2} = \sqrt{13}[/tex]
[tex]SU= \sqrt{(2 --1)^2 + (-4 --4)^2} = 3[/tex]
[tex]TU= \sqrt{(-1 --1)^2 + (-2 --4)^2} = 2[/tex]
Check if the side lengths of both triangles are similar, by dividing corresponding sides
[tex]k = \frac{PQ}{ST} = \frac{\sqrt{52}}{\sqrt{13}} = 2[/tex]
[tex]k = \frac{PR}{SU} = \frac{6}{3} = 2[/tex]
[tex]k = \frac{QR}{TU} = \frac{4}{2} = 2[/tex]
Because the scale factors of the side lengths are the same, then both triangles are similar by SSS theorem.
Read more about similar triangles at:
https://brainly.com/question/8691470
Find the sum
(4 - n) + 2(-5n + 3)
Answer:
−11n + 10
Step-by-step explanation:
(4-n) + 2 (-5n+3)
4 - n + -10n + 6
-11n+4+6
The answer:-11n+10
Choose the correct formula for the function h. HELP NEEDED ASAP
Answer:
The answer is C.
Step-by-step explanation:
h(x) = 3x + 2 - 1
A conductor is mapping a trip and records the distance the train travels over certain time intervals. The train travels at a constant speed. What is its speed?
Answer:
Speed = 25miles per hour
Step-by-step explanation:
Represent the time with x and the distance with y
So, from the attachment; we have the following details:
[tex](x_1,y_1) = (0.5,12.5)[/tex]
[tex](x_2,y_2) = (1,25)[/tex]
[tex](x_3,y_3) = (1.5,37.5)[/tex]
Required
Determine the constant speed
Because the train travelled at a constant speed, the speed can be calculated using:
[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]
[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]
[tex]Speed = 25=25=25[/tex]
Notice that the result of each division is the same.
Hence, the constant speed is:
Speed = 25miles per hour
Can someone write an equation out of X= -4 Y= -8 Z= 3
Answer:
2y + 4z = x
Step-by-step explanation:
Given
[tex]x = -4[/tex]
[tex]y = -8[/tex]
[tex]z = 3[/tex]
Required
Write an equation that which is true for the above parameters
This question will be answered using trial by error method and the solution is not limited to one equation.
One equation that matches the values above is:.
[tex]2y + 4z = x[/tex]
To check:
Substitute the values of x, y and z in the above equation.
[tex]2y + 4z = x[/tex]
[tex]2 * -8 + 4 * 3 = -4[/tex]
[tex]-16 + 12 = -4[/tex]
[tex]-4 = -4[/tex]
Hence,
Because both sides of the equation are one and the same (-4), [tex]2y + 4z = x[/tex] is true for the above values of x, y and z.
While touring the city, Bernie
buys lunch for his family from a
food truck. He purchases one
taco for $2.75 and four
cheeseburgers. If he spent a
total of $23.75, how much was
each cheeseburger?
Answer:
$5.25
Step-by-step explanation:
23.75-2.75= is the price of four cheeseburgers, which is 21. 21/4 is the price of one. So its 5.25
Here it is, please help me!!!!
Answer:
463mi
Step-by-step explanation:
what is the answer of
6 2/5 - 1 4/5 =
A parachutist's elevation changes by - 90 ft in 10 seconds. What is the change in the parachutist's elevation each second?
Answer:
-9 feet per second
Step-by-step explanation:
A student uses 1/2 quart of paint in 3/4 hour. What is her usage rate in quarts per hour?
ASWER CHOICES
38 quart per hour
23 quart per hour
34 quart per hour
32 quarts per hour
Answer:
1 1/2 quarts per hour
Step-by-step explanation:
To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.
3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.
Please help here’s 20 points
algbra two, i need help asap please
Answer:
(a) The zeroes of f(x) are rational numbers
(b) The smallest integer value of a is 3
Step-by-step explanation:
In the quadratic function f(x) = ax² + bx + c, we can know the number and the types of its roots using the discriminant Δ, where Δ = b² - 4ac
If Δ > 0, then the zeroes are two different real numbersIf Δ = 0, then the zeroes are the same real numberIf Δ < 0, then the zeroes are imaginary numbersNote: In the first case if Δ is a perfect square number then the zeroes are rational, if not then the zeroes are irrational
(a)
∵ The equation function is f(x) = ax² + 11x + 12
∵ a = 2
∴ a = 2, b = 11 and c = 12
→ Substitute them in the rule of Δ
∵ Δ = (11)² - 4(2)(12) = 121 - 96
∴ Δ = 25
∵ Δ > 0
∴ f(x) has two different real zeroes
∵ 25 is a perfect square number
→ That means the zeroes of the function are rational numbers
∴ The zeroes of f(x) are rational numbers
(b)
∵ f(x) ha imaginary zeroes
→ By using the third rule above
∴ Δ < 0
∵ a = a, b = 11 and c = 12
→ Substitute them in the rule of Δ
∴ (11)² - 4(a)(12) < 0
∴ 121 - 48a < 0
→ Add 48a to both sides
∵ 121 - 48a + 48a < 0 + 48a
∴ 121 < 48a
→ Divide both sides by 48
∴ 2.52083 < a
∴ a > 2.52083
∵ The smallest integer greater than 2.52083 is 3
∴ The smallest integer value of a is 3
A parachutist's rate during a free fall reaches kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during seconds of free fall? Do not round your answers.
Complete question :
A parachutist's speed during a free fall reaches 162 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Answer:
45 m/s ; 900 meters
Step-by-step explanation:
Given that :
Speed = 162 kilometers per hour ;
The speed in meters per second can be found by:
162 km/hr = (162 * 1000)m / (60 * 60) second
162 km/hr = 162000m / 3600 s
162 km/hr = 45 m/s
At this speed, how many meters will the parachutist fall during 20 seconds of free fall?
Speed of free fall = 45m /s
Distance in meters after 20 seconds :
(45 m/s * 20s) = 900 meters
CAN ANYONE HELP ME THAT IS GOOD IN MATH
Help..................
Answer:
The answer is A
Step-by-step explanation:
There are opposite angles
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPP
Your Explanation:
Answer:
No because if you set them equivelent to each other you get 12=0
Step-by-step explanation:
1/4(12x + 24) - 9x = -6(x + 1)
3x + 6 - 9x = -6x - 6
-6x + 6 = -6x - 6
12 = 0x
I hope this helps
Evaluate if y=4 and z= -2.
7y+z= ?
Answer:
i hope this helps you
7.4+(-2)
28-2
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Plug 4 in for y and -2 in for z giving you: 7(4)+(-2). 7*4=28 giving you 28+(-2). the portion +(-2) is the same as -2. This gives you 28-2 which is 26.
dilation with a scale factor of 2 centered at (1 2)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the enlargement or reduction of the size of an object by a factor.
If a point A(x, y) is dilated by a factor k with a center of dilation at (a, b), then the new point is:
A'(x, y) = [k(x - a) + a, k(y - b) + b]
Let us assume that point A(2, 0) dilation with a scale factor of 2 centered at (1, 2). Hence the new point is:
A'(x, y) = [2(2 - 1) + 1, 2(0 - 2) + 2] = (3, -2)
Today, Bill is driving to Baltimore, MD. He has 18 gallons of gas in his tank. His tank uses 2 gallons of gas every hour he drives. How many hours can Bill drive with a 18 gallons of gas in his tank?
Answer:
9
Step-by-step explanation:
18/2=9
can someone help me.
Answer:
D
Step-by-step explanation:
What is the value of 12+6/N
when N = 2?
A. 6
B. 9
C. 12
D. 18
The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for
Answer:
379.94
Step-by-step explanation:
area of a circle is, pi times radius powered by 2, with this in mind-
r= 11, pi=3.14
3.14(11)^2
3.14(121)
=379.94
12
13
15
D
The length of side CD =
The length of side BC =
The length of side BD =