Answer: The 4th option= -1, -3
Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4
Now we know that -4 is greater than -5.
Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.
Thanks.
Write each number as a power of 10 using negative exponents.
1.
[tex] \frac{1}{1000} [/tex]
2.
[tex] \frac{1}{10} [/tex]
Answer:
Step-by-step explanation:
One
If the number was 1000, you just count the numbers starting at the right until you get a number that is between 1 and 10
So starting at the right, you get to go 3 places towards the left. You get the number one, so 1000 would be written as 1 * 10^3.
The the given number is a fraction the rule is Add a minus sign
Answer: 1/1000 = 1 * 10^-3
Two
10 is 10^1 in scientific notation
1/10 = 10^-1
Answer: 1/10
8.
Consider a function which takes certain values, as shown in the table below.
--
x | -2 | 0 | 3 | 8 |
y | 10 | 6 | 0 | -10 |
Find the average rate of change between x = -2 and x = 0
Step-by-step explanation:
i just answered this.
the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.
in short
( f (interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
upper limit = 0
lower limit = -2
the functional values (y) are 6 and 10 at these points.
so, we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
What are irrational and rational numbers?
An irrational number is a type of real number which cannot be represented as a simple fraction.
A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
Answer:
here is the definition of irrational and rational numbers
The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2 kg. Given that information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A.
Compare the masses of the two samples to decide who is correct. State which person is correct and explain your answer using mathematics.
Narissa is right sample B is 15,000 times that of sample A
What is mass?The quantity of matter that any object contains is called the mass of the body.
It is given that:-
The mass of lab sample A is 2.4 x 10^-2 kgThe mass of lab sample B is 3.6 x 10^2 kgSo the mass will be given as:-
[tex]\dfrac{B}{A}=\dfrac{3.6\times 10^2}{2.4\times 10^{-2}}[/tex]
[tex]\dfrac{B}{A}=15000[/tex]
B = 15000 B
Therefore Narissa is right sample B is 15,000 times that of sample A
To know more about mass follow
https://brainly.com/question/26150306
#SPJ1
50 points!!! Which equation is represented on the graph?
Answer:
I think the answer is b ill look into it a Lil more
Write 6.51 x 10-8 in standard form
Please help :)
There are seven "0"s between the decimal point and the digit "6".
======================================================
Explanation:
The number [tex]6.51 \times 10^{-8}[/tex] is in scientific notation.
The exponent -8 tells us to move the decimal point exactly 8 spots to the left to get the answer 0.0000000651
In other words, we'll move the decimal point one spot to the left to go from 6.51 to 0.651
Then we move it another seven spots to the left to arrive at 0.0000000651
This is why there are seven "0"s between the decimal point and the digit "6".
Which step is the most efficient way to find the solution of p+5>−13?
Answer:
Subtract 5 from both sides
Step-by-step explanation:
Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options
The figure is cut into 15 equal pieces. Shade 2/3 of the figure.
Answer:
Shade 10 of the pieces.
Step-by-step explanation:
50 POINTS! Use the Parabola tool to graph the quadratic function.
f(x)=(x+4)^2 −6
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
General equation
y=a(x-h)²+kBy observing y=(x+4)²-6
Vertex is at (-4,-6)a is 1So
The parabola graph is attached
Answer:
See below ~
Step-by-step explanation:
Given :
f(x) = (x+4)² − 6
f(x) = a(x + h)² + k
The vertex of the graph is (-4, -6)Compressibility factor (a) is equal to 1Another point on the parabola :
Take x = 1f(1) = (1 + 4)² - 6f(1) = 25 - 6f(1) = 19The second point is (1, 19)Graph :
Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method? Oh, please give steps so I can write them down
The required steps are explained below to convert the quadratic function into a perfect square.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have
[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c[/tex]
Add and subtract the half of the square the coefficient of x,
[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c[/tex]
Then we have
[tex]\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c[/tex]
These are the required step to get the perfect square of the quadratic function.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ1
Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new house is 1003 miles. If their car gets 23.6 miles per gallon, how many gallons of gas will they need for the trip?
The total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have total distance between from their old house to their new house:
d = 1003 miles
The car travel 23.6 miles per gallon
So the total amount of the fuel needed = 1003/23.6 = 42.5 gallons
42.5 gallons fuel will be required to travel 1003 miles
For the return trip (considering 23.6 miles per gallon) the same amount of fuel will be needed.
So the total fuel needed including roundtrip = 42.5×2 = 85 gallons
Thus, the total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ1
what is the rate of change of the linear function that has a graph that passes through the points (-5, -2) and (-2, 6)
The rate of change of the linear function whose graph passes through points (-5, -2) and (-2, 6) is: 2.7.
What is the Rate of Change of a Linear Function?The rate of change of a linear function is given as change in y over change in x.
Given the points:
(-5, -2) and (-2, 6)
Change in y = 6 -(-2) = 8 units
Change in x = -2 -(-5) = 3 units
Rate of change = 8/3 = 2.7.
Learn more about rate of change on:
https://brainly.com/question/8728504
#SPJ1
1. Find the least common multiple of x² + x-12 and x² + 2x - 15
Least Common Multiple = (x-3) (x+5) (x+4)
Step-by-step explanation:
First we solve for x² + x-12
Factorise=> x² + 4x - 3x - 12
Taking common=> x ( x+4 ) - 3 (x+4 )
=> (x-3) (x+4)
Now we will solve for x² + 2x - 15
Factorise=> x² + 5x - 3x - 15
Taking common=> (x-3) (x+5)
we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .
Ans. Lest common multiples are = (x-3) (x+5) and (x+4)
Find the radian measure of the central angle of a circle of radius 12 that intercepts an arc length 32.5. Round to the nearest hundredth.
is 0, 3, 8, 15, 24, 35 an arithmetic sequence
Answer:
Yes, the sequence is an arithmetic sequence
Step-by-step explanation:
Notice that each consecutive number is being added by the next odd number up:
0+3=3
3+5=8
8+7=15
15+9=24
24+11=35
We can represent this as the arithmetic sequence [tex]a_n=n(n+2)[/tex]
The following cone has a height of 4 inches and a volume of 127 cubic inches. What is the radius of the cone ?
Answer:
5.51
Step-by-step explanation:
i used a calculator.
3^2+ square root of 36-2x10
Answer:
-5
Step-by-step explanation:
9+6-2*10
15-20
= -5
22. Solve using the principles together. Check your answer.
5x - 3 = 11 + 12x
---Subtract 5x from both sides
-3 = 11 + 7x
---Subtract 11 from both sides
-14 = 7x
---Divide both sides by 7 to leave x by itself
x = -2
Answer: x = -2
Answer Choice: A, -2
Hope this helps!
Answer:
A. The solution is x =-2.
Step-by-step explanation:
Given :
5x - 3 = 11 + 12xSubtract 11 from each side.
5x - 3 - 11 = 11 + 12x - 115x - 14 = 12xSubtract 5x from each side.
5x - 14 - 5x = 12x - 5x7x = -14x = -2A. The solution is x =-2.
Please help need done by the next hour! Will mark Brainliest
Answer:
you did not even show the answer
Step-by-step explanation:
you have to post it lol;)
A team of 3 QA testers and l QA team lead is working on a project. The team finishes
the job and is paid. The testers receive $1200 each, and the team lead receives S600
more than the average salary of the entire team. How many dollars does the team lead
get?
The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,
The team lead salary:
[tex]\rm x = \dfrac{1200+1200+1200+x}{4} + 600[/tex]
4x = 3600+ x+ 2400
3x = 6000
x = $2000
Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
Learn more about the average here:
brainly.com/question/24057012
#SPJ1
Can someone please answer this, ill give you brainliest Would be very appreciated.
Explanation:
Expression: d = 16t² where d is distance. t is time.
1)
Here t = 2
d = 16(2)²
d = 64 feet
2)
h = 906-t²
h = 906 - 16(2)²
h = 842 feet
3)
expression of height: y = 906 - 16t²
Answer:
64842y = 906 - 16t²Step-by-step explanation:
Q1
Distance travelled in 2 second 16(2)²64 feetQ2
Height of object after 2 seconds906 - 64842 feetQ3
height of object t seconds after it is droppedy = 906 - 16t²** PLS HELP BRAINLIEST!! ** THIS WILL AFFECT MY GRADE
Here are three lines that intersect at
one point.
Write a true equation based on this
diagram.
Answer:
64+18+z=180
Step-by-step explanation:
z=98, input 98 and it is true
Kristy incorrectly says
that the volume of the sphere below is
144T cubic units. What mistake might Kristy
have made?
The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
How to find the Area of a Sphere?We are given the volume of the sphere as 144π cubic units.
From the attached file, we see that the radius of the sphere is 6.
Formula for Volume of a Sphere is;
V = ⁴/₃πr³
Thus;
V = ⁴/₃π * 6³
V = 288π cubic units
Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
Read more about Volume of Sphere at; https://brainly.com/question/10171109
#SPJ1
use the factored form to solve the related question, 2x^2+17x+30=0. what are the solutions
Answer: x = -6 and x = -5/2
Step-by-step explanation:
[tex]$$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-\frac{5}{2}$$[/tex]
Given that sin0 =, 8/17what is cos 0?
Enter your answer, as a simplified fraction, in the boxes.
cos 0=
Answer:
Cos 0 = 15/17
Step-by-step explanation:
.................................................
Choose the definition for the function.
-x+ 2 x<1
a.y =
{2
1 x + 1 x 21
x + 1 x
b. y = -x+ 2 x < 1 d. y =
{
{-x+ 2 x 21
x>
x + 1 x < 1
=&isíc.y=*+2 x>1
{
Enter
Answer:
B
Step-by-step explanation:
I hope this helps. God bless
One month Jessica rented 4 movies and 8 video games for a total of $61. The next month she rented 2 movies and 3 video games for a total of $25. Find the rental cost for each movie and each video game.
Answer:
A movie costs $4.25 and a video game $5.5.
Step-by-step explanation:
Step 1: Form the equations.
Let m be the price of a movie and v the price of the video game.
First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.
[tex]4m + 8v = 61[/tex]
Second equation: The next month she rented 2 movies and 3 video games for a total of $25.
[tex]2m + 3v = 25[/tex]
Step 2: Solve the system of equations.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]
I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]
Now I'm going to subtract the second equation from the first.
[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]
And solve.
[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]
Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).
[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]
Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked
Answer:
B
Step-by-step explanation:
The data shows a positive correlation so the gradient must be positive so B.
help me pls worth 50 points!!!!
Answer:
40 : 1
Step-by-step explanation:
40 miles / 1 hour = 40 : 1
PLEASE HELP ITS A MATH PROBLEM Consider the following two functions:Which statement is NOT true?
Answer:
D) g(1) > f(1)Step-by-step explanation:
Compare the relevant values of functions. They are given in the table for function g(x) and on the graph for function f(x).
A) f(3) = 2, g(3) = 7 ⇒ f(3) < g(3), TRUEB) g(0) = 4, f(0) = 8 ⇒ g(0) < f(0), TRUEC) f(2) = 4, g(2) = 4 ⇒ f(2) = g(2), TRUED) g(1) = 3, f(1) = 6 ⇒ g(1) > f(1), Not TRUEAnswer:
g(1) > f(1)
Step-by-step explanation:
Based on the graph :
f(1) = 7 and g(1) = 3The statement is :
g(1) > f(1)3 > 7This is not true