Answer:
f(4)=29
f(-2)=-25
x=8
Step-by-step explanation:
a. to find f(4), you need to substitute x with 4...
f(4)=9(4)-7
f(4)=36-7
f(4)=29
b. This is the same for f(-2)
f(-2)=9(-2)-7
f(-2)=-18-7
f(-2)=-25
c. 9x-7=65
+7 +7 to cancel the 7 out and to isolate the x
9x=72
divide both sides by 9
x=8
So basically f(8)=65
Answer:
a. f(4) = 29
b. f(-2) = -25
c. x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Functions
Function NotationStep-by-step explanation:
Part A + B
Step 1: Define
Identify.
f(x) = 9x - 7
Step 2: Find
f(4)
Substitute in x [Function f(x)]: f(4) = 9(4) - 7[Order of Operations] Evaluate: f(4) = 29f(-2)
Substitute in x [Function f(x)]: f(-2) = 9(-2) - 7[Order of Operations] Evaluate: f(-2) = -25Part C
Step 1: Define
Identify.
9x - 7 = 65
Step 2: Solve for x
[Addition Property of Equality] Add 7 on both sides: 9x = 72[Division Property of Equality] Divide 9 on both sides: x = 8Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.
Step-by-step explanation:
A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction
and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.
that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.
and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.
so, there is no rectangle or square.
but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.
and that makes it a rhombus.
ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN
Answer:
Yes
Step-by-step explanation:
the triangle is a scalene triangle (has no equal parts
Brainiest if good answer!
No links!!! I won’t view them
Given the system of linear equations:
{x+6y=6
y=1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
Learn more about the linear equation here:
brainly.com/question/11897796
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(1 pc
3. A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate
how much sugar is needed to make 8 dozen cookies.
4 cups
x cups
4 dozen 8 dozen
O2 cups
08 cups
08.5 cups
0 12 cups
I really need help! I give Brainly-est
Answer:
8cups
Step-by-step explanation:
if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups
I will give these ponts for free if u answer 100+100x100. (help me get brnliest)
Answer:
10,100
Step-by-step explanation:
100*100=10000+100=10,000
10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.
The given ratio becomes 6x : 3x : x.
6x = black paint
3x = green paint
x = blue paint
6x + 3x + x = 500
10x = 500
x = 500/10
x = 50
6x = 6(50) = 300
3x = 3(50) = 150
x = 50
Answer:
300 ml of the black paint.
150 ml of the green paint.
50 ml of the blue paint.
suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+25000?
Answer:
20.5 years
Step-by-step explanation:
The population is given by the exponential function ...
p = 16000·(1 +0.022)^t
When p = 25000, we can find the value of t by taking logarithms.
log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log
t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t
It will take about 20.5 years for the population to reach 25000.
Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2
Answer:
parallel
Step-by-step explanation:
Answer:
The lines are perpendicular
Step-by-step explanation:
Y=1/3x+4
Y=-3x+2
The negative reciprocal of -3 is 1/3
The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5
Answer:First option, y=f(x+3)+5
Step-by-step explanation:
analyse the transformation first
From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 unitsInput transformation
In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5Final answer, when all values are added is y=f(x+3)+5
The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25
Answer:
B. p= 0.25
Step-by-step explanation:
Pls give brainliest if helps
534 divided by 43. Please help..
Answer:
Step-by-step explanation:
The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...
1) [tex]\frac{534}{43}[/tex]
2) 12[tex]\frac{18}{43}[/tex]
3) 12.41861
If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.
I need a fast answer because I’m about to get on a plane
Answer:
C
Step-by-step explanation:
-6 is less than 7
How i can answer this question
Answer:
Your correct Awnsers are A and D
The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t
Answer:
C. w = 4t
Step-by-step explanation:
Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).
Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.
We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)
The land area of Connecticut is about 12,549,000,000 square meters. The land area
of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?
Answer:
4.636
Step-by-step explanation:
The ratio is the same when it is written in terms of billions of square meters:
CT/RI = 12.549/2.707 ≈ 4.636
The area of CT is about 4.636 times as large as the area of RI.
Greg buys a school lunch for $1.50 each day. His caretaker gave him $40 for his lunches. What equation represents how much money Greg has?
Answer:
1.50 + 40= $41.50
Step-by-step explanation:
if Greg only had $1.50 and then he got an additional $40, he now has $41.50.
A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.
Answer: The answer is 189 ft.
find the domain of y=1/2 square root of x+2-3
Evaluate the following expression 6⋅2+6^4 khan academy
Answer:
6.2+6^4
6.2+1.296
7.496
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
y = -1/3x - 5
Introduction:
The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.
Step-by step explanation:
=> Slope = rise/run = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]=> Slope = [tex]\frac{-3- (-7) }{-6-6 }[/tex]=> Slope = [tex]\frac{4}{-12}[/tex]=> Slope = [tex]\frac{-1}{3}[/tex]Since we have found the slope, let's find the y-intercept to create our equation.
=> y-intercept = -5Conclusion:
Therefore, our new equation is y = -1/3x - 5
Hoped this helped.
[tex]BrainiacUser1357[/tex]
In a school day each student has to participate either in music or sport . Out of 350 students of the school 250 participated in sports and 145 in music then,
a. How many students have participated in both activities?
b. How many of them have participated in one activity only?
c. Represent the above information in a Venn Diagram.
Answer:
a. 45
b. 305
(left side) just sports, (middle) amount that did both, (right side) kids that just did music
Step-by-step explanation:
a. 250 + 145 = 395 395-350 = 45
b. 350-45= 305
ope this helps :)
what is g(5)?
g(x)=−x+4, find g(5)
Answer:
g(5) = -1
Step-by-step explanation:
g(5)= -(5)+4
g(5)= -1
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
꧁TheoriesMadeTheWorld꧂
Plz answer bhhk f hi j
Answer:
its just rhombus and trapezoid i think.
Step-by-step explanation:
Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4
in need of help. plz
2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?
Answer:
721/M
Step-by-step explanation:
Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)
Find the inequality represented by the graph.
Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
find the slope and y-intercept and write equation in form of
y = mx + b; m = slope and b = y-intercept
if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3
we can see by looking at the graph that the y-intercept is 1
therefore, y ≤ -1/3x + 1
The Appalachian Trail is about 2,175 miles long.
a. If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?
b. Katia’s friend Joelle joins her for the last quarter portion of the hike. How many full days will Joelle hike?
PLZ HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION!
Answer:
121 days; 30 full days
Step-by-step explanation:
to find how much days she takes you divide 2175 by 18
2175 / 18 is 120.833333
it will take her at least 121 days because you need to round up
the last portion of the hike would be a quarter of the hike
you would divide the final time by 4 and that is your answer
121 / 4 is 30.25
you have to round down because .25 is not a full day
she hiked 30 full days
IMPORTANT QUESTION: If i have 464 assignments to do, and want to get it done in 130 days how many assignments should I do a day?
Answer:
4 assignments per day.
Step-by-step explanation:
Since you have 464 assignments, and 130 days, then you can divide.464/130 = 3 37/65Since you have a fraction, you can round it to 4 assignments.Answer:
3 .
Step-by-step explanation:
464 / 130
it’s not exactly like this,
if Im wrong!