Answer:
[tex]\large\boxed{B.\ (x,\ y)\to(x-4,\ y-2)}[/tex]
Step-by-step explanation:
[tex](-5;\ 4)\xrightarrow{(+4,-2)}(-1;\ 2)\\\\-5+4=-1\to(x+4)\\4-2=2\to(y-2)[/tex]
Maria has $240 in her savings account. The table shows the change in her account for 4 consecutive weeks.
Answer:
If you are looking for what the total is at the end of the week, it is $270.
Step-by-step explanation:
Subtract the values where it says withdraw, and add the values where it says deposit.
Ervin scores half as many points in a game as Larry. If Larry scored x points, write an expression to represent how many points Ervin scored.
A) 2x
B) 2 + x
C) x - 2
D) 1
2
x
Answer:
Step-by-step explanation:
D
Answer:
Option D
Step-by-step explanation:
Larry scored x points
Ervin scores half as many points in a game as Larry
We need to make an expression using the given statement
For larry points we use the variable x.
Half as many points means 1/2 as larry
Ervin = half as larry
Ervin scored [tex]\frac{1}{2}[/tex] of larry
Ervin scored [tex]\frac{1}{2}[/tex] x
How many ounces of a 35 %35% alcohol solution must be mixed with 1515 ounces of a 40 %40% alcohol solution to make a 38 %38% alcohol solution?
Let [tex]x[/tex] be the amount of the 35% solution that will be added. The resulting solution will have a total volume of [tex]15+x[/tex], 38% of which is alcohol. 40% of 15 is 6, so the 40% solution contributes 6 oz of alcohol. So
[tex]0.35x+6=0.38(15+x)\implies x=10[/tex]
oz of the 35% solution need to be added.
PLEASE HELP! First one gets brainliest!
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.
Match the equation for how to solve for the side length of a cube to its description.
Drag the equation into the box to match the description.
A cube has a volume of 756 in³
Answer:
s = ∛756
Step-by-step explanation:
The volume of a cube is found by V = s³. To solve for the side of a cube with a specific volume, we use inverse operations to find it. s = ∛V. If the volume is 756 then the s = ∛756.
Graph both functions to find the solution(s) to the system. {f(x)=x+1 g(x)=x2−6x−7 Use the line tool to graph the line. Use the parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
Answer:
solutions to f(x)=g(x) are x=-1 and x=8
Step-by-step explanation:
The minimum point of the parabola will be found at ...
x = -b/(2a) . . . . . where a, b, c are the coefficients of ax²+bx+c
For g(x) = x² -6x -7, the minimum will be at x=-(-6)/(2·1) = 3. The minimum value is ...
g(3) = 3² -6·3 -7 = -16
so the vertex (minimum point) you want to plot is (3, -16). Since the coefficient of x² is 1, there is no vertical scaling, so when the value of x differs from 3 by 1 unit, the value of g(x) will be 1² = 1 unit higher. That is, g(4) = -15, so (4, -15) is another point on the parabola.
___
I find it convenient to use a graphing calculator for the whole problem.
HELP ME PLZZZZZZZ!!!!!
The answer is A because the input is x and the out put is y so that would make it 9.
Which choice shows the expression x2−6x+8 in factored form?
a)(x+2)(x+4)
b)(x−8)(x−1)
c)(x−4)(x−2)
d)(x+1)(x−7)
Answer:
C, (x - 4)(x - 2)
Step-by-step explanation:
to factor x² - 6x + 8, you need to find 2 numbers that multiplied together are equal to 8 and added together that are equal to -6
we can already eliminate answers B and D, since B added together does not equal -6, and D multiplied together does not equal 8
we are left with choices A and C
in order to get a positive 8 through multiplication, we need either two positive numbers, or two negative numbers
to get a -6 through addition, we need negative numbers
lets test (x - 4)(x- 2) to see if this works in the equation, we can use FOIL to expand the equation and we get:
x² -4x - 2x + 8
x² -6x + 8
our answer would be C, (x-4)(x-2)
The factored form of x^2 - 6x + 8 is (x - 2)(x - 4), which is option c.
To factor the expression x^2-6x+8 into its factored form, we are looking for two binomials (x - a)(x - b) such that when multiplied out, the result will be our original quadratic expression. The factors need to multiply to give the constant term 8, and add up to give the middle term -6. Starting with the constant term, the pairs of factors of 8 are (1, 8), (2, 4), and (-2, -4). We need to find the pair that adds up to -6, which is (-2, -4).
So, the factored form of x^2-6x+8 is (x - 2)(x - 4), and the correct choice here is option c.) (x - 4)(x - 2).
Irma picked 5/8 of a bushel and Matthew picked half as many. How many bushels did Matthew pick?
0.3125 is the correct answer
ANSWER
[tex] \frac{5}{16} [/tex]
bushels
EXPLANATION
It was given that,
Irma picked
[tex] \frac{5}{8} [/tex]
of a bushel.
If Mathew picked half as many bushels, then Mathew has:
[tex] \frac{1}{2} \times \frac{5}{8} = \frac{5}{16} [/tex]
Hence, Mathew has
[tex] \frac{5}{16} [/tex]
bushels.
The figure represents a(n) ______.
A. angle
B. line segment
C. ray
D. line
Answer:
B. line segment
because without the point A it would be a ray
or without the arrow after point a it would be a line
The figure a(n) represents a line segment Option(B)
Concept of line, ray and line segment -A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane.
In geometry, a ray is usually taken as a half-infinite line (also known as a half-line) with one of the two points and. taken to be at infinity.
A line segment is bounded by two distinct points on a line. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.
How to identify the given figure a(n) ?The given figure is a line segment as it has two end points a and b and also it is bounded by the similar two extended point .
Therefore a(n) is a line segment, Option (B.)
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Given that (0,3) is on the graph of f(x), find the corresponding point for the function f(x)-2
Answer:
(0 , 1)
Step-by-step explanation:
given y = f(x), then
y = f(x) + c is a vertical translation
• If c > 0 then vertical shift up of a units
• If c < 0 then vertical shift down of a units
here c = - 2, hence shift down of f(x) by 2 units
(0, 3) → (0, 3 - 2 ) = (0, 1)
What’s the inverse of the function F(x)=2x+1
Answer:
Step-by-step explanation:
1. Replace F(x) with y.
2. Interchange x and y in y = 2x + 1: x = 2y + 1
3. Solve this result for y: 2y = x - 1, or y = (x - 1)/2
4. Replace y with:
-1
F (x):
-1 x - 1
F (x) = -----------
2
Answer:
f-1(x) = (x - 1)/2.
Step-by-step explanation:
Let f(x) = y
y = 2x + 1
2x = y - 1
x = (y - 1)/2
Now replace x by the inverse of f(x) ( that is f-1(x) ) and y by x:
f-1(x) = (x - 1)/2.
Trent earns $19.50 per hour for his 40 hour work week. How much does he earn each week? Question 3 options: $877.50 $800.00 $809.25 $780.00
Answer:
Answer: $780.00
Step-by-step explanation:
The amount of money that he earns each week will be $ 780. Then the correct option is D.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
Trent earns $19.50 per hour for his 40 hours of work for a week.
Then the amount of money that he earns each week will be
→ $ 19.50 × 40
→ $ 780
If he earns $19.50 per hour. Then the amount of money that he earns each week will be $ 780.
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Solve the following system using the addition method:
-27x + 6y = -21
-12x +3y = -9
(3 points, 2 for work, 0.5 for each part of the solution (x,y))
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
[tex] -27x + 6y = -21 [/tex] --- (1)
[tex] -12x +3y = -9 [/tex] --- (2)
Multiplying (2) by -2 to get:
[tex] 24 x - 6 y = 1 8 [/tex] --- (3)
Adding (1) and (3) to get:
[tex]-27x + 6y = -21[/tex]
[tex]24x-6y=18[/tex]
------------------------------------
[tex]-3x=-3[/tex]
x = 1
Finding y:
[tex]-12(1) +3y = -9[/tex]
[tex]3y=-9+12[/tex]
[tex]3y=3[/tex]
y = 1
Therefore, (x, y) = (1, 1).
(X,Y)= (1,1)
Explanation:
What is the approximate measure of this angle
120 be cause it is not a straight line
Help on this 2 questions pls
Answer:
1. B
A. Not true because the peak of the data is 2
B. True because 0-2 contains the most dots on the graph and they're bunched together
C. Not true because from 2-5 there is a big gap
D. Not true because there is an outlier
Thus, B. is the answer
2. F.
1 yard = 3 feet
So, divide 6,615 by 3 to get 2,205
I hope this helps! :)
please help fast! Use the model to solve for x.
A)
no solution
B)
x = 3
C)
x = -3
D)
x = -
3
2
[tex]
x+1=x-1-1\Longrightarrow x+1=x-2 \\
x=x-3\Longrightarrow x\notin\mathbb{C}\Longrightarrow x=no solution
[/tex]
Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is
the answer is { } "an empty set or phi"
because there isn't any common elements between the two setsAnswer:
the empty set { }
Step-by-step explanation:
A ∩ C represents the intersection of sets A and C, that is the members of set A which are also members of set C.
In this case there are no common members, thus
A ∩ C = { }
What is the diameter of a circle with a circumference of 6π?
Answer:
the diameter, d, must be 6
Step-by-step explanation:
Formula for circumference of a circle with diameter d is C = πd.
If C = 6π = πd, then the diameter, d, must be 6.
HELP: Solve this problem and show how you thought of it 3 different ways: 1/3 ÷ 5 (24 pts)
Three methods to solve the equation are Division as Repeated Subtraction,Using Fraction Division Formula,Using Decimal Conversion.
I'll approach this problem using three different methods:
Method 1: Division as Repeated Subtraction
Dividing [tex]\( \frac{1}{3} \)[/tex] by 5 means finding out how many times 5 can be subtracted from 1/3
[tex]\( \frac{1}{3} - 5 = - \frac{14}{3} \)[/tex]
So, you can subtract 5 from 1/3 approximately 0 times with a remainder of [tex]\( - \frac{14}{3} \).[/tex]
Method 2: Using Fraction Division Formula
To divide a fraction by a number, you can multiply the fraction by the reciprocal of the number.
[tex]\( \frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5} \)[/tex]
[tex]\( \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5} \)[/tex]
[tex]\( \frac{1}{3} \div 5 = \frac{1}{15} \)[/tex]
So, [tex]\( \frac{1}{3} \div 5 = \frac{1}{15} \).[/tex]
Method 3: Using Decimal Conversion
Converting 1/3 to a decimal gives [tex]\( 0.3333... \)[/tex]
Then, dividing 0.333 by 5 gives:
[tex]\( 0.3333... \div 5 \approx 0.0667 \)[/tex]
So, [tex]\( \frac{1}{3} \div 5 \approx 0.0667 \).[/tex]
These are three different ways to solve the problem [tex]\( \frac{1}{3} \div 5 \).[/tex]
If x-16=8 then what is the value of 3(x+7)?
Answer:
Step-by-step explanation:
first solve for x
x-16=8
add 16 to both sides to isolate x, you now have:
x=8+16
x=24
soooo...now you have to plug in x into the other equation.
3(x+7) turns into 3(24+7)
so now we solve.
3(24+7)
3 x 31
93=x
Hope this was helpful!
The value of x in the equation x-16=8 is found to be 24. Substituting x into the expression 3(x+7) yields a final result of 93.
Explanation:The equation given in this question is: x-16=8. To find the value of x, add 16 to both sides of the equation. So, x = 8 + 16, which simplifies to x = 24.
Next, to find the value of 3(x+7), you first replace the x with the value we have just found. That gives you 3(24 + 7) which equals 3(31). Multiplying this out gives the final answer, 3(31) = 93.
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solve the inequality |2h-3| >1
Answer:
[tex]\large\boxed{h>2\ \vee\ h<1\to h\in(-\infty,\ 1)\ \cup\ (2,\ \infty)}[/tex]
Step-by-step explanation:
[tex]|2h-3|>1\iff2h-3>1\ \vee\ 2h-3<-1\qquad\text{add 3 to both sides}\\\\2h>4\ \vee\ 2h<2\qquad\text{divide both sides by 2}\\\\h>2\ \vee\ h<1\to h\in(-\infty,\ 1)\ \cup\ (2,\ \infty)[/tex]
The solution of the absolute value inequality |2h-3| > 1 is h > 2 or h < 1. Two cases are considered based on whether the expression inside the absolute value is greater than 1 or less than -1.
Explanation:To solve the inequality |2h-3| > 1, you need to consider two cases because an absolute value inequality represents two separate inequalities.
Case 1: The expression inside the absolute value (2h-3) is greater than 1. This gives us the inequality 2h - 3 > 1. Solving for h, we get h > 2.
Case 2: The expression inside the absolute value (2h-3) is less than -1. This gives us the inequality 2h - 3 < -1. Solving for h, we get h < 1.
Thus, the solution of the absolute value inequality is h > 2 or h < 1.
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What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-1 1/4 + 1/2
Answer:
Work:
first you want to change 1/2 so the denominator is a 4
1/2 is equivalent to 2/4
now you have -1 1/4 + 2/4
then you want to get rid of the whole number and make -1 1/4 into a fraction
-1 is -4/4 so add that to the 1/4
now you have -5/4 + 2/4
you can add that now easily and get -3/4
Answer:
-3/4 aka C hope this helped
15 crackers weigh 69 grams. how many kilograms is this?
Answer:
[tex]0.069\ kg[/tex]
Step-by-step explanation:
we know that
1 kg=1,000 g
so
using proportion
Find out how many kilograms are 69 grams
Let
x -----> the weight in kg
[tex]\frac{1}{1,000}\frac{kg}{g} =\frac{x}{69}\frac{kg}{g}\\\\x=\frac{69}{1,000}\\\\x=0.069\ kg[/tex]
69 grams is equal to 0.069 kilograms.
To find how many kilograms 15 crackers weighing 69 grams is, convert 69 grams to kilograms by recognizing that there are 1000 grams in 1 kilogram.
15 crackers weigh 69 grams. To find how many kilograms this is, we need to convert grams to kilograms. There are 1000 grams in 1 kilogram. Therefore, 69 grams is equal to 0.069 kilograms.
Sebastian wanted to order pizzas for $7 each. The delivery charge is $3.50. He has $20.
What is the correct solution for how many pizzas he could order?
Answer: 2 pizzas with 2.50 left
Step-by-step explanation: First you subtract the 3.50 from the 20, that'll leave you with 16.50 and then from there you subtract 7 from it until you can't anymore
Division is a method of distributing a group of things into equal parts.
According to the given question, we have the following data:
Sebastian has a total of $20.He wanted to order pizzas for $7 each.The delivery charge is $3.50So, first of all, we have to pay the delivery charge whether we are ordering a single or bulk. That's why we have to deduct that from the total Sebastian has.
$20 - $3.50 = $16.50
So, now Sebastian has $16.50.
Now, each pizza is for $7.
So, it's clear now that, Sebastian has to divide his total amount by the price of each pizza to get how many pizzas he can order.
Number of pizzas Sebastian can order = (Total amount Sebastian has / price of each pizza)
= ($16.50 / $7)
= 2.36
But wait how can he order a fraction of pizzas so we have to take 2 as our answer.
Therefore, Sebastian could order a total of 2 pizzas.
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simplify: 2 3/4 + 5 3/5
Answer:
8 7/20
Step-by-step explanation:
2+5=7
3/4+3/5=15/20+12/20=1 7/20
7+1 7/20=8 7/20
Answer:
11 + 28 For sure 100 %
4 5
Step-by-step explanation:
Plz MARK BRAINLIST!!!!!!!!!!!plzzz
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What’s 5n+7=21 it’s a two step equation
Answer:
n = 2.8
Step-by-step explanation:
We need to solve the equation 5n+7 =21 to find the value of n.
Adding -7 on both sides
5n +7 -7 = 21 -7
5n = 14
Dividing both sides by 5
5n/5 = 14/5
n = 14/5
n = 2.8
Jon has 3/5 of a dollar, pasha has $0.65, Marie has 7/10 of a dollar, and Karen has $0.62.who has the smallest the smallest amount
Answer:
Jon
Step-by-step explanation:
Jon: 3/5 (divide)
=0.6
Pasha: 0.65
Marie: 7/10 (divide)
=0.7
Karen: 0.62
After analyzing the values, of the smallest amount belongs to Jon that is 3/5 or $0.6.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data provided in the question,
Jon = 3/5 = $0.6
Pasha = $0.65
Marie = 7/10 = $0.7
Karen = $0.62
Compare all the values, Jon has got the smallest amount.
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What is greatest value of the data represented by the box plot?
45, it is the highest number in the range
i don't need it but brainliest it is appreciated
A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side.
Answer:
The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches
Step-by-step explanation:
we know that
The Triangle Inequality Theorem. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x -----> the possible lengths of the third side
Applying the Inequality Theorem
1) 12+8 > x
20 > x
Rewrite
x < 20 in
2) 8+x > 12
x> 12-8
x > 4 in
therefore
4 in < x < 20 in
The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches
What is an area of a circle of the diameter is 98mm and the pie is 3.14
Answer:
7,539.14
Step-by-step explanation:
To solve for area, square the radius (radius times radius) then multiply by 3.14.
A=pir^2
The diameter is 98mm
pi= 3.14
r= 49^2=
49 X49= 2,401
2,402 X 3,14= 7,539.14
Answer:
A = 7539.14 mm^2
Step-by-step explanation:
Area of a circle is given by
A = pi * r^2
We need to know the radius
r = d/2
r = 98/2
r = 49 mm
The radius is 49 mm and pi = 3.14
A = 3.14 * (49)^2
A = 7539.14 mm^2