Answer:
-40
Step-by-step explanation:
-7 x 7 + 9 x (-1) / (-1)
-49 + 9 x (-1) / (-1)
-49 - 9 / (-1)
-49 + 9
= -40
He highest priced diamond ever sold at auction weighed 69.42 carats and sold for $1,050,000. A carat is equal to 0.2 grams. What was the weight of this diamond in grams?
Answer:
13.884 grams
Step-by-step explanation:
From the question:
1 carat = 0.2 grams
The highest priced diamond = 69.42 carats.
Hence:
1 carat = 0.2 grams
69.42 carats = x grams
x grams = 69.42 × 0.2 grams
x grams = 13.884 grams
Hence, the weight of the highest priced diamonds is 13.884 grams.
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
[100 points! Please, I need the right answer!!]
The length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. Which measurement is more precise but less accurate than Sandrine’s?
1.95 inches
2 inches
2.12 inches
3 inches
Answer:
Given that he length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. The measurement that is more precise among the choices given is:
2 inches.
This is because it is the closest approximation of the length compared to the rest of the approximations.
Step-by-step explanation: can i have brainliest pls
Answer:
I'm note sure but I think it's the first one
Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm
Answer:
3 cm and 1.75 cm
Step-by-step explanation:
the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50
Complete this table
3°
3
32
38
34
35
36
1
3
9
27
729
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
hope it helps! please mark me brainliest
thank you!! have a good day ahead..
Answer:
this is 3⁴= 81 and 3⁵= 243
7. A car that was originally worth $29,500 depreciates at a rate of $2,500 per year. Find the
value of the car after six years.
There are 21 boys and 7 girls in your gym class. Your teacher selects 2 students at random to be team leaders for a game. What is the probability that both students are girls?
A: 17/36 c: 1/2
b: 1/16 d:1 /18
Answer:
either b or d
Step-by-step explanation:
MARKING BRAINLIEST PLZ HELP! You are given the following five lines:
Line 1: y=-2x + 9
Line 2: y= 1/2x + 1
Line 3: y= 2x + 2
Line 4: 6x - 3y = 6
Line 5: 4x + 2y = 4
Part A: Which two lines could be used to create a system of equations that has no solution? Explain your answer
Part B: Which two lines could be used to create a system of equations that has many solutions? Explain your answer
Part C: Which two lines could be used to create a system of equations that has one solution? Explain your answer
Part A:
lines y=-2x+9 and 4x+2y=4 can be used to create a system of equation that has no solution because none of the lines intercept on a graph.
Part B:
lines y=2x+2 and 6x-3y=6 can be used to create a system of equation that has infinitely many solutions because again none of the lines intercept on a graph
Part C:
The lines y=1/2x+1 and 4x+2y=4 can be used to create a system of equations with one solution because on a graph both lines intersect at one point.
The Graphs Are Shown Below.
HIgh Hopes
Barry-
An architectural drawing of a building shows the elevation of the basement floor to be –10 feet. The elevation of the roof is 40 feet. How far is it from the basement to the roof?
What is the slope of a line given by the equation 2Y-4X+8=0?
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2y - 4x + 8 = 0 ( subtract - 4x + 8 from both sides )
2y = 4x - 8 ( divide all terms by 2 )
y = 2x - 4 ← in slope- intercept form
with slope m = 2
Question 1
Review
Listen
Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10
years from his original purchase, it was worth $6000. Assuming the growth rate remains the
same, which type of function could he create to find the value of his investment 30 years from
his original purchase?
1.
exponential function
2.
linear function
3.
quadratic function
4.
trigonometric function
Submit Answer
Answer:
Exponential
Step-by-step explanation:
Chase caught 2/3 of the balls hit to left field. Ryan caught 3/5 of the balls hit to right field. Which pair of equivalent fractions will help them find the total amount of the balls they both caught?
Answer:
1 4/15 balls
Step-by-step explanation:
From the question, we are told that:
Chase caught 2/3 of the balls hit to left field.
Ryan caught 3/5 of the balls hit to right field.
The Lowest common denominator for both fraction is given as 15
Hence, the equivalent fractions for each boy is calculated such that the denominators of both fraction is 15
For Chase:
We Multiply both numerator and Denominator by 5
2 × 5 /3 × 5 = 10/15
2/5 = 10/15
For Ryan
We Multiply both numerator and Denominator by 3
3 × 3 /5 × 3 = 9/15
3/5 = 9/15
The total amount of the balls they both caught is:
10/15 + 9/15
= 19/15 = 1 4/15
Simplify each exponential expression using the properties of exponent and match it to the correct answer
Answer:
Step-by-step explanation:
3^-3*2^-3*6^3 = 1
last one=2
2nd one =1/2
Answer:
I cant see your question clearly
Step-by-step explanation:
pls help will give brainiest
Find the length of A.
Answer:
5
Step-by-step explanation:
13^2=169
12^2=144
169-144=25
Root 25 is 5
HELPPP
How many liters would you have to sell to earn
$36?
Enter the correct answer.
Answer:
90
Step-by-step explanation:
You would get 36 dollars from 90 liters.
The answer is in the photo.
Evaluate the function:
f(x)=x2−4x, find f(−3)
Answer:
f(-3) = 21
Step-by-step explanation:
To solve this, you can replace all x's with -3 and then solve to find the answer.
f(x) = x^2 - 4x
f(-3) = -3^2 - 4(-3)
f(-3) = 9 - (-12)
f(-3) = 21
I hope this helps!
Here is a base-ten diagram that represents 1.13.
Use the diagram to find 1.13\:-0.461.13−0.461.13 − 0.46.
Answer: 0.67
Step-by-step explanation:
which of the following is a solution to the linear function y = 4/5x+7
For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this information?
Answer: what of the following
Step-by-step explanation:
Answer:
is it multiple choice
Step-by-step explanation:
What is 700,000+9,000+60+7 in Standard form
Answer:
709,067
Step-by-step explanation:
add them together from greatest to least
hiii please help if you can
Answer:
Correct choices: 2 and 4
Step-by-step explanation:
These two line segments have a positive slope.
Answer:
Choice B and D!
Step-by-step explanation:
Interval 2 goes up after going at a constant rate and interval 4 goes up from decreasing
Point slope help me out please
Answer:
Slope for AB is 0
Step-by-step explanation:
Y=b
Y = -2
Y= y-intercept because there is no slope so y=b instead of y=mx+b
compare and contrast rates and ratios
Answer:
A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.
Step-by-step explanation:
For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.
Billy reads 75 pages of a novel in 50 minutes. At this rate, how many hours will billy spend reading the entire 350-page novel?
Answer:
8hours 45minutes
WORKING OUT
75÷50=1.5
so 1 page would take 1.5 minutes
1.51 x 350= 525 minutes
8.75 hours
There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses more than $1,000? Estimate, then find the exact answer.
Answer:
Total cost= $760
Step-by-step explanation:
Giving the following information:
Number of students= 347
Each bus holds 44 students.
Bus cost= $95
First, we need to determine the number of buses needed:
Number of buses= total students / student per bus
Number of buses= 347 / 44
Number of buses= 7.88 = 8 buses
Now, the total cost:
Total cost= 8*95
Total cost= $760
at what rate, how long will it take to go 4.5 miles
Step-by-step explanation:
they need a car to drive duhhhhh
Answer:
0.36 hours
Step-by-step explanation:
Divide 4.5 with 12.5 mph.
Anyone know ????? thank you
Answer:
2/3
Step-by-step explanation:
hereeee lol& thanks again<3!
Answer:
-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)
-1 is the y-intercept. This is where the line hits the y-axis
start by plotting the y-intercept (0,-1)
then move down one unit, and right two units, and plot another point.
this is the line y=-1/2x-1
Step-by-step explanation:
Step-by-step explanation:
hope it helps
............
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
A similarity transformation consisting of a reflection
and a dilation is performed on a figure, and one point maps to itself. Explain how this can happen.
If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.
If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.
So the two conditions are:
The point must be on the line of reflectionThe point must be the center of dilationThese two facts mean that the line of reflection must go through the center of dilation.