Give the function f(x) = -2x -5, determine the value of f(-3)
Answer: 1
Step-by-step explanation: You are given the function f(x) = -2x-5. The value is (-3) which is the input of the function. The output, y is what gives 1.
Plug in -3 into the given of function of f(-3) = -2(-3) - 5 = 1.
Negative x negative is positive which -2(-3) = 6.
Take 6-5 = 1.
The above function can also be written as y = -2x-5.
The only difference is this is written in y= mx+b for and the above problem is written in function notation.
Hope this explanation helps.
find the quotient 3^15 / 3^3
Answer:
531441 OR 3¹² is the answer.
Step-by-step explanation:
3¹⁵/3³
=> 3¹⁵⁻³
=> 3¹²
=> 531441
Therefore, 531441 OR 3¹² is the answer.
Hoped this helped.
On a set of steps, the first step from the base of the steps is labeled 111, the second is labeled 222, and so on. Each step has the same height. The table below shows the step number and step's height from the base of the steps.
Step number Height from the base (meters)
505050 101010
909090 181818
110110110 222222
Write an equation to describe the relationship between nnn, the step number, and hhh, the height from the base.
The equation that describes the relationship between n, the step number, and h, the height from the base is [tex]\mathbf{h = 0.2n}[/tex]
The sets of step are given as:
Step number (n) Height from the base (h)
50 10
90 18
110 22
The above table represents a linear relationship.
So, we start by calculating the slope (m)
[tex]\mathbf{m = \frac{h_2 -h_1}{n_2 -n_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{18 - 10}{90 - 50}}[/tex]
[tex]\mathbf{m = \frac{8}{40}}[/tex]
Simplify
[tex]\mathbf{m = 0.2}[/tex]
The equation is then calculated as:
[tex]\mathbf{h = m(n -n_1) + h_1}[/tex]
So, we have:
[tex]\mathbf{h = 0.2(n -50) + 10}[/tex]
Expand
[tex]\mathbf{h = 0.2n -10 + 10}[/tex]
Evaluate like terms
[tex]\mathbf{h = 0.2n}[/tex]
Hence, the equation that describes the steps is [tex]\mathbf{h = 0.2n}[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
Answer:
h=0.2n
Step-by-step explanation:
I'm too lazy to do a step-by-step but this is correct on khan academy.
Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?
Step-by-step explanation:
the description is very difficult to understand with special characters and potential typing errors.
I suspect the definition is
function(x) = 32 - x²
function(-5)function(-5) is then very easily calculated.
we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.
function(-5) = 32 - (-5)² = 32 - 25 = 7
so,
function(-5)function(-5) = 7 × 7 = 49
pls help me! (more info in photo)
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7
A) y= 2x + 2
B) y = -1/2-1/2
C) y = 1/2x+1/2
D) y = - 1/2x+1/2
Answer:
B) y= -½x -½
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]
Slope of given line= -½
Since parallel lines have the same slope, slope of unknown line= -½.
y= -½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -1, y= 0,
[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]
[tex]0 = \frac{1}{2} + c[/tex]
[tex]c = - \frac{1}{2} [/tex]
Thus, the equation of the line is y= -½x -½.
1)
Find the value of x and y
What are the solutions of the following system?
=
[x2 + y2 = 25
2x+y=-5
(0, -5) and (-5,5)
(0, -5) and (5, -15)
(0, -5) and (-4,3)
O (0,-5) and (4, -13)
What is it?
Answer:
Third option: (0,-5) and (-4,3)
Step-by-step explanation:
x^2 + y^2 = 25
2x + y = -5
y = -5 - 2x
x^2 + (-5-2x)^2 = 25
x^2 + 25 + 20x + 4x^2 = 25
5x^2 + 20x + 25 = 25
5x^2 + 20x = 0
5x(x+4) = 0
5x=0 --> x=0
x+4=0 --> x=-4
2(-4) + y = -5
-8 + y = -5
y = 3 --> (-4,3)
2(0) + y = -5
0 + y = -5
y = -5 --> (0,-5)
Therefore, the solutions to the system of equations are (0,-5) and (-4,3)
As a large truck fills its gas tank, the amount of gas, in gallons, can be modeled with the linear function
g = 4t + 8
c.) What is the y- intercept and what does it represent in this problem
D.) What is the Slope and what does it represent in this problem
Answer:
c. (0, 8), it is how much gas the truck started with
d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)
Step-by-step explanation:
Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
Answer:
1221.2 factor increase
Step-by-step explanation:
It is difficult interpreting the numbers. I'll assume:
2.25x10^2 and 2.75x10^5
----
225
275000
The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs
There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.
Can someone please help me with this easy math problem
(34.23 x 2.3) + 432.15
Answer:
The answer is 510.879
Step-by-step explanation:
Multiply parentheses first:
34.23×2.3=78.729
Add to 432.15
=510.879
Beth borrows $100 from her grandmother. She plans to pay her grandmother $15 a month until the money is paid back. Which equation can be used to determine how much Beth will owe, y , after 5 months?
Answer: The correct answer is y=15(100)−5
Step-by-step explanation:
The equation is written as y = 100 - 5x. Then the amount of money left after 5 months will be $25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Beth acquires $100 from her grandma. She intends to pay her grandma $15 every month until the cash is taken care of.
Let 'x' be the number of months and 'y' be the remaining amount. Then we have
y = 100 - 15x
The amount of money left after 5 months is calculated as,
y = 100 - 15 (5)
y = 100 - 75
y = $25
The condition is composed of y = 100 - 5x. Then how much cash left following 5 months will be $25.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Will give BRAINLIEST
Answer: pentagon
Step-by-step explanation:
Write the equation for the line in slope intercept form
Answer:
y = -x + 5
Step-by-step explanation:
lmk if you want an explanation
6x - 10 - - 8 + 3
3x
What’s the answer?
Answer:
Step-by-step explanation:
-2+39x
If the perimeter of a regular hexagon is 1 foot, each side is
how many inches long?
Answer:
2 or...?
Step-by-step explanation:
The hexagon is 2 inches long
Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.
If you want to know more on hexagons go here:
https://brainly.com/question/30849168
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false
[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]
[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],
[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]
To classify the statements, we need to evaluate each of them:
[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.
[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]
so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.
[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]
so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers
[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.
Learn more about inequalities here: https://brainly.com/question/24786628
Evaluate the equation:
4z = 10
z =
Answer:
z = 2.5
Step-by-step explanation:
4z = 10
---- -----
4 4
z = 2.5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
the points (2,4) and (6,7) lie on a line. what is the slope of the line?
The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.
[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]
The measure of an angle is 1/4 the measure of its compliment find the measure of each angle
Answer:
angle = 72°
complement = 18°
Step-by-step explanation:
x = (90-x) / 4
cross-multiply to get:
4x = 90 - x
5x = 90
x = 18
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?
Answer:
Step-by-step explanation:
How to Estimate Aquarium Water Volume
You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.
You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.
Tank Volume Formulas
See the volume formulas for various aquarium fish tank styles below.
Rectangular Tank Formula
tank volume = l × w × h
l = tank length
w = tank width
h = tank height
Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total number of miles run based on how many hours he runs for. What is the total number of miles he ran if he runs for 17 hours?
Answer:
y = 2.5x + 33.4, y = 75.9 miles
Step-by-step explanation:
Equation is y = 2.5x + 33.4
17 = 2.5 x + 33.4
y = 2.5 (17) + 33.4
y = 42.5 + 33.4
y = 75.9 miles
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Step-by-step explanation:
complementary angles mean that together they have 90°.
that means that sin(A) = cos(C) and vice versa.
so, the values are the same
cos(C) =24/25
sin(A) = 20/29
Each car on a commuter train can seat 114 passengers. If the train has 7 cars how many passengers can it seat??
Help me!!!
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
"Four times the difference of a number and
seven is at least -52."
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
