System of equations:
2x - y = 8
3x + y = 17
Solve for x:2x - y = 8
3x + y = 17
________ +
5x = 25
x = 5
Plug in x to one of the equations to solve for Y2(5) - y = 8
10 - y = 8
-y = -2
y = 2
use the graph below to answer this question: find the average rate of change for the given function from x=1 to x=2.
Answer: D. 2
Step-by-step explanation:
The question is asking for the rate of change from x=1 to x=2. Remember that the rate of change is also the slope, which can be seen as [tex]\frac{rise}{run} or \frac{y}{x}[/tex]. The rise would be going up/down the graph and the run would go left/right of the graph. Let's look at where x=1 and x=2 on the graph.
First, look at where the line falls between x=1 and x=2. Then, on where x=1, go up, then right on the graph, until you find the point where x=2. In this case, the rise over run is [tex]\frac{2}{1}[/tex]. This can be simplified to 2.
Therefore, the answer is 2.
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Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ftfrankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ft.
The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.
From the Pythagoras theorem:
Perpendicular(P) = 32 ft
Base(B) = 20 ft
H = √(32²+20²)
H = √1424
H = 37.7 ft
Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
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Answer:
D) 37.7
Proof:
the area of a cylinder is 25[tex]\pi[/tex]cm2 and its height is 11 cm.
find the base diameter and area of the wrapper in terms of [tex]\pi[/tex]
The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
What is Cylinder?A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.
Here, Given area of cylinder = 25π cm²
Height of cylinder = 11 cm.
Now, Area of Cylinder = 2πrh
25π = 2πr X 11
25 = 22r
r = 25 / 22
r = 1.14 cm
Then, diameter = 2r = 2 X 1.14 = 2.28 cm
Now area of wrapper = total surface area = 2πr(r + h)
= 2π X 2.28 (2.28 + 11)
= 4.56π X 13.28
= 60.56π cm²
Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
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which expression is equivalent to. 5 32x^5 y ^10 z^15
HURRY NOW
Answer:
the answer is B
Step-by-step explanation:
5th root of 32 = 2
5 / 5 = cancels
10 / 5 = 2
15 / 5 = 3
2xy²z³
Answer:
2xy^2z^3
Step-by-step explanation:
My supersonic jet burns 4 gallons of jet fuel in 3 seconds. How many gallons of jet fuel do I need to fly for an hour?
BRANILIST PLS HELP
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Answer:
RSP, ZXY
SRP, XZY
RPS, ZYX
Step-by-step explanation:
Obviously, the numbers match each other.
ex. R = 41, Z = 41
Those two have the ability to pair in the same order
Please help me with this question 1/11
The value of a₄₃ is 3.
What is Matrices?Matrices is a plural form of a matrix, which is a rectangular array or a table where numbers or elements are arranged in rows and columns.
Here, aₓₙ is the element of matrix in which x represents the number of row and n represents the number of column of element.
So, a₄₃ means element from 4th row and 3rd column.
4th row = [2 9 3 7]
3rd column = [tex]\left[\begin{array}{ccc}8\\6\\1\\3\end{array}\right][/tex]
the common value between them is 3.
Thus, the value of a₄₃ is 3.
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If we can preach that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals.(check image)
Answer:
Prob Online
Step-by-step explanation:
Can't really think of one
Given the following exponential function,
identify whether the change represents
growth or decay, and determine the
percentage rate of increase or decrease.
y = 4300(0.042)
X
The change is decay and the percentage rate of decrease will be 95%.
An exponential function is a function where a number is raised to the variable i.e. base is raised to the exponent times.
Here given the exponential function is y= 4300(0.042)ˣ
Now we have to identify if the change in exponential function represents growth or decay, and have to determine the percentage rate of increase or decrease.
Here in the exponential function, the base is less than 1 so the change is decay.
The equation represents exponential decay because the decay factor is lesser than 1.
The general form of the exponential equation is:
y(x)= a(1-r)ˣ such that r is the decay.
equating with the equation
y= 4300(0.042)ˣ
a= 4300
and 1-r=0.042
⇒r= 1-0.042
⇒r= 0.958
the perecentage of decay will be r*100= 0.958*100= 95%
Therefore the change is decay and the percentage rate of decrease will be 95%.
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In a school, the number of girls is 70 more than boys. the total number of students is 1280. find the number of girls and boys
Answer:
Step-by-step explanation:
Conditions
Let the girls = g
Let the boys = b
Equations
g + b = 1280
g = b + 70
Solution
Put the value for the girls (second equation) into the first equation.
b + 70 + b = 1280 Subtract 70 from both sides
b + 70 - 70 + b = 1280 -70 Combine
2b = 1210 Divide both sides by 2
2b/2 = 1210/2
b = 605 Substitute this value into the top equation
g + 605 = 1280 Subtract 605 from both sides
g + 605 - 605 = 1280 - 605
g = 675
Answer
# boys = 605
# girls = 675
una cuerda al vibrar tiene una frecuencia fundamental de 200 Hz. Si su longitud se reduce en una cuarta parte, ¿cual será la nueva frecuencia fundamental? ¿se ha alterado la rapidez de la onda al acortar la cuerda? Suponga que la tensión es constante
I thank the answer is B
Step-by-step explanation:
10
A number is less than 20 units away from 7 on the number line. what numbers are within these parameters? choose the inequality that represents the situation. solve the inequality.
The inequality which represents the situation is; |x - 7| < 20 and the solution is; 27 > x > -13.
What is the inequality that represents the situation?Since the number is less than 20 units away from.the number 7 on the number line, it follows.from interpretation that the inequality is;
|x - 7| < 20
Hence; x-7 < 20; x < 27
Or
-x + 7 < 20
-x < 13
x > -13
Hence, the solution of the inequality is; 27 > x > -13.
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kacee spent half of the money in her bank account, then deposited $15 more. if she now has $29, how much did she have begin with.
Answer:
Step-by-step explanation:
Solution
Before she put anything back into her account, she had 29 - 15 = 14 dollars.
She started with 2 * 14 = 28 dollars.
Answer: 28 dollars.
The two-way table below shows the number of students in a school who like mathematics and/or physics: Like Mathematics Do Not Like Mathematics Total Like Physics 15 20 35 Do Not Like Physics 5 25 30 Total 20 45 65 How many more students like physics than mathematics? 10 15 20 25
The number of students like physics more than mathematics is 15 , Option B is the correct answer.
What is a Number ?A mathematical way of expressing quantity of a substance is called a Number.
Number of students in a school who like mathematics = 20
Number of students in a school who like physics = 35
number of students in a school who like only physics is 20
number of students who like only Mathematics is 5
the number of students like physics more than mathematics is 20-5 = 15
Therefore Option B is the correct answer.
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There are some counters in a bag.
the counters are blue or green or red or yellow.
the table shows the probabilities that a counter taken at random from the bag
will be blue or will be green.
red
yellow
colour
blue
green
probability
0.32
0.20
the probability that a counter taken at random from the bag will be red is five times the
probability that the counter will be yellow.
there are 300 counters in the bag.
work out the number of yellow counters in the bag.
Answer:
187
Step-by-step explanation:
0.345 recurring as a fraction please - the 3 and 5 are recurring
Answer:
The decimal 0.345 expressed as a fraction is 69200 .
A recent order for 15,000 items of building supplies was composed of bolts and nails. Nails cost 5 cents each. The entire order arrived at an expense of 1500 dollars. If there were 2500 bolts, what is the cost of each bolt?
The cost of each bolt according to the task content is; 35c.
What is the cost each bolt?Since, there were 2500 bolts, it follows that there were 12500 nails.
The total cost of nail is therefore; 12500 × 5c. = 62500c = 625$.
Hence, the total cost of bolts is; 1500$ -625$ = $875 = 87,500c.
Consequently, the cost of each bolt is; 87,500c/2500 = 35c.
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Area of a sector
Find the perimeter of this sector.
Give your answer rounded to 3 SF.
Pls help
The perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have given a part of the circle.
As we know:
s = rθ
s is the arc length
r is the radius of the circle
θ is the central angle in radians
The central angle is 115 degrees which is in radians:
θ = 2.00713
s = 48×(2.00713)
s = 96.34 m
The perimeter of the sector = s = 96.34 m
Thus, the perimeter of the sector is 96.34 m if the radius of the circle is 48 m and the measure of the central angle is 115 degrees.
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Which of the following terms best describes a vertical line that the graph of a
function approaches but never intersects?
A Horizontal asymptote
B Proportion
C Vertical asymptote
D Inverse variation
If the sales tax on a $825 television set is 7%, how much will you pay in total?
Answer:
$882.75
Step-by-step explanation:
825 x 7% = 57.75 <- thats the price of the tax
57.75 + 825 = 882.75
Please help me! I need help. Please help me, I need help, please help me!
Answer:
17x
Step-by-step explanation:
3x+4+4x+4+3x-4+3x-4+4x
Collect liketerms
Denver has a current temperature of -5°, while Barcelona has a current temperature of 54°. What is the difference in temperature between Denver and Barcelona?
Answer:
59°
Step-by-step explanation:
Difference=54-(-5)
=54+5=59
whats the polynomial of (7x+7)(x+2)
Answer:
okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
will you be my friend
Step-by-step explanation:
.......... okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Identify a rational number among the following numbers :
2 + √2, 2√2, 0 and π
Answer:
0
Step-by-step explanation:
0 is a rational number...........
13 t-shirts cost total of $156. What is the unit cost per t-shirt?
Step-by-step explanation:
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debbie is a cook in a restaurant that is open 6 days a week. she is responsible for recording and monitoring the amount of money she spends on food. in the summer she uses an average of 9 loaves and bread per day.
The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread
Calculation of weekly quantity of breadThe number of days the restaurant opens per week = 6 days.
The number of bread she uses everyday is = 9 loaves.
Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.
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7% tax on a $3 soda with an $8 burger
Step-by-step explanation:
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Which of the following is the quadratic parent function?
A. F(x) = x + 1
B. F(x) = Ixl
C. F(x)=x²
D. F(x) = 2x
Answer:
C
Step-by-step explanation:
A quadratic has to have an exponent of 2 somewhere. The only one of these functions that does is C
The quadratic parent function is f ( x ) = x²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
f ( x ) = x²
The graph of the function f(x) = x² is a parabola that opens upward, symmetric with respect to the y-axis, and its vertex is at the origin (0, 0)
Now , the value of y is the square of x
Hence , the parent function is f ( x ) = x² and graph is plotted
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g(x) =2x+3, find g(-3)
The value of g(-3)=-9
The function is a relation between two sets X and Y which are one-one or many-one. Here set X is called the domain and set Y is called codomain.
For example: f(x)=3x+9
To get the value of the function at any point of x, we have to put the number in the function to get its function value.
For example the value of f(x) in above function at x=a will be f(a)=3a+9
Similarly given function in the question
g(x)=2x+3
to get the value of g(x) at x=-3 put the value of x in the function,
g(-3)= 2(-3)+3 = -3
Therefore the value of g(-3) is -3.
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Triangle EFG is isosceles.Find the measure of angles
As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:
82+x+x=180
2x=98
x=49
Thus, angle EFG is 49 degrees.
So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees
