Find the value of x so that the function has the value 2.
f (x) = -3x + 17
X=
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Function notationStep-by-step explanation:
Step 1: Define
f(x) = -3x + 17
f(x) = 2
Step 2: Solve for x
Substitute: 2 = -3x + 17Isolate x term: -15 = -3xIsolate x: 5 = xRewrite: x = 5Step 3: Check
Plug in x to verify it's a solution.
Substitute: f(2) = -3(5) + 17Multiply: f(2) = -15 + 17Add: f(2) = 2Here we see that f(2) does equal 2.
∴ x = 5 is the solution.
can someone help me with this.
will give brainliest
Answer:
y = -5/3x + 6
Step-by-step explanation:
A line parallel to it would have the same slope which is -5/3 so then you can plug in the points you were given and find b for the line parallel which would be 1 = -5/3(-3) + b and that would simplify into 6 = b so then you know your y intercept and you can now plug it in for the new equation y = -5/3 + 6
2(4x + 1) < 3(2x - 3)
Answer:
x < -([tex]\frac{11}{2}[/tex])
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x+2 < 6x-9
2x+2 < -9
2x < -11
x < -([tex]\frac{11}{2}[/tex])
3. A chessboard is covered by 64 squares that are of the same size.
(a) How many squares fit along the side of the chest board?
b) How many squares fit along the perimeter of the chessboard
The price of an item yesterday was $80. Today, the price rose to $116. Find the percentage increase.
Answer:
That is a 45% increase
Step-by-step explanation:
a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. What is the length of the segment?
9514 1404 393
Answer:
about 9.80 cm
Step-by-step explanation:
The length of half the segment (h) can be found from the Pythagorean theorem:
h² +5² = 7²
h² = 7² -5² = 49 -25 = 24
h = √24 = 2√6
This is half the segment length, so the whole segment length is ...
L = 2h = 2(2√6)
L = 4√6 ≈ 9.7980
The length of the segment is 4√6 ≈ 9.80 cm.
How do you solve for this ?
I need help with solving this problem please I will mark brainliest if correct !!!
Answer:
x = 20
4x = 80°
5x = 100°
Step-by-step explanation:
The given angles are supplementary so their sum is 180°
4x + 5x = 180
9x = 180 divide both sides by 9
x = 20
The value of the angle marked 4x = 4 × 20 = 80°
The value of the angle marked 5x = 5 × 20 = 100°
Answer:
80°, 100°
Step-by-step explanation:
The 2 angles are same- side interior angles and are supplementary, thus
4x + 5x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Thus
4x = 4 × 20 = 80°
5x = 5 × 20 = 100°
Which relation is a function? (look at image below)
Answer:
Bottom Right Graph (Absolute Value)
General Formulas and Concepts:
Vertical Line TestStep-by-step explanation:
When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).
6/3 + ( -1/6) =
I dont know the answer help please
Answer:
The answer is 11/6! Hope this helped!
Steps:
6/3 + (-1/6)
apply rule --> a + (-b) = a - b
6/3 + (-1/6) = 6/3 - 1/6
= 6/3 - 1/6
6/3 = 2
= 2 - 1/6
2 = 6 x 2 over 6
= 6 x 2 over 6 - 1/6
= 12/6 - 1/6
apply fraction rule --> a/c - b/c = a - b over c
12/6 - 1/6 = 12 - 1 over 6
= 12 - 1 over 6
= 11/6
The sides of a rectangle are scaled to be 1/4 of their original size What describes the effect of the scaling on the surface area? A. The surface area of the new prism is 1/4 as large as the original prism. B. The surface area of the new prism is 1/8 as large as the original prism. C. The surface area of the new prism is 1/16 as large as the original prism. d. The surface area of the new prism is 1/24 as large as the original prism
Answer:
I think the answer is D
Step-by-step explanation:
Solve for x.
18 ÷ x = -2
x =
Pls help / I need answers ASAP / I will give u 5 stars and a thank u on ur answer
Answer: -9
18/x = -2
⇔ x = 18/(-2)
⇔ x = -9
Step-by-step explanation:
People asked what the Absolute Value Homework looked like so here it is. I appreciate the help!
Answer:
thank you!
Step-by-step explanation:
Create an equation to represent the following situation: I am selling rings for $2 and pins for $1. I want to make $40. Let x represent the number of rings and y represent the number of pins. (SOMEONE HELP PLEASE)
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$10.00
5%
?
The sales tax is $
Enter your answer in the answer box and then click Check Answer
Answer:
$0.5
Step-by-step explanation:
10*0.05 = 0.5 dollars
Answer:
.50
Step-by-step explanation:
Selling price x sales tax rate = sales tax
10 x .05 (5%) = .50
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
The scale for the blueprints for a house is 1 inch = 7ft . The dimensions of a room on the blueprints are 2.5 in
Help me fast please i’ll give 20 points
Answer: C
You can use the formula x = -b / 2a to find the axis of symmetry.
Who wants to be my gamergirl
Answer:
Well I'm not a girl soo No.
Step-by-step explanation:
if there are 3 friends with 80 brothers each, and the brothers each have 25 sisters, and those sisters had 83 dogs. How many people are ded?
Answer:
it never said how many people died, so 0, because if they lived long enough as together with 80 brothers, plus 25*80 sisters, then no one dies exept the mothers womb and the parents bank account
Step-by-step explanation:
Amanda bought 8 shirts for $132. If long sleeve shirts cost $18 and short sleeve shirts cost $12 , how many of each shirt did she buy? The system of equations to solve this would be:
x + y = 8
or
18x + 12y = 132
Answer:
has to be
Step-by-step explanation:
the first one
Answer:
18x = 12y =132
Step-by-step explanation:
How to do this question plz answer me
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
No of sides= 360/exterior angle
=360/20
=18 sides
the number of the sides of the polygon is 18 sides.
PLEASE HELP ME WITH THIS QUESTION!!
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation, [tex] y = 1600 + 90x [/tex], given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600
WHATS THE MEASURE OF ANGLE D
Answer:
7.6
Step-by-step explanation:
m<DBA is 68 degrees
Add all the sides. Write the expression, in the simplest form.
8cm, 8cm, 9x, 9x
Answer: 18x+16 cm
Step-by-step explanation:
Combine the like terms. 9x+9x = 18x and 8+8=16
Find the value of y
Answer:
y = 11°
Step-by-step explanation:
PR and QS and parallel lines and QR is a transversal.
Now,
5y = 55 (alternate interior angles)
y = 55/5
y = 11
Laura has a coupon to get $1.00 off a $4.00 bottle of laundry detergent. What percent will Laura save?
Answer:
She saved 25% or 1/4
Step-by-step explanation:
Please give me brain
suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function and find y when x=5
Answer:
y=12/x
Step-by-step explanation:
if y=12, and x=1 so
general formula y=12/x
for x=5 , y=12/5=2.4
you can graph by ploting points such as (1,12), (5, 2.4),...
The weight, y, in pounds, of puppies was tracked for the first 10 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 2.3 + 5.73t. Collin wanted to predict the weight of a puppy at 14 weeks.
What is this an example of, and is this method a best practice for prediction? Explain your reasoning.
Answer:
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.
Step-by-step explanation:
thats just what it is
The solution is Option C )
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks
What is Linear model?
A linear model is a model in which the terms are added, such as has been used so far in this section, rather than multiplied, divided, or given as a non-algebraic function. Linear modeling can predict the behavior of complex systems or analyze experimental, financial, and biological data.
Linear regression is a statistical method used to create a linear model. The model describes the relationship between a dependent variable y (also called the response) as a function of one or more independent variables Xi (called the predictors).
Given data ,
Weight of the puppies = y pounds
Number of weeks after birth = t
Linear model representing the relationship between weight of puppies and time after birth in weeks is y = 2.3 + 5.73t
This is a clear idea of Linear models because the data describe a continuous response variable as a function of one or more predictor variables.
Hence , this is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks
To learn more about linear modeling click :
https://brainly.com/question/28436453
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The base of a triangle is 5 meters greater than the height. If the area of the triangle is 102 m2, which are the dimensions of the base and the height?
Answer: The base is 17 meters long, and the height is 12 meters.
Step-by-step explanation:
The area of a triangle is:
A = b*h/2
where:
b = base
h = height.
For this particular triangle, we have that:
b = 5m + h
A = 102 m^2 = b*h/2
We can replace the first equation into the second one:
b*h/2 = 102 m^2
(5m + h)*h/2 = 102 m^2
(5m + h)*h = 2*102 m^2 = 204m^2
5m*h + h^2 = 204m^2
We can rewrite this as a quadratic equation:
h^2 + 5m*h - 204m^2 = 0
The solutions are given by the Bhaskara formula, the solutions are:
[tex]h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}[/tex]
Then the two solutions are:
h = (-5m - 29m)/2 = -17 m
This is a negative height, that is not really defined, so this will be discarded.
The other solution is:
h = (-5m + 29m)/2 = 12m
This is positive, so this is the option we will use.
Knowing h, we can find the value of b.
b = 5m + h = 5m + 12m = 17m
Then the area is:
A = 12m*17m/2 = 102m^2