Answer:
Tienes 3 números, "x", "y", "z"
=> El primero es 20 unidades menor que el segundo:
El primero es "x", y el segundo es "y", entonces:
x = y - 20
=> El tercero es igual a la suma de los dos primeros:
El tercero es "z", entonces:
z = x + y
z = (y - 20) + y
z = 2y - 20
=> Entre los tres suman 120
x + y + z = 120
y - 20 + y + 2y - 20 = 120
4y - 40 = 120
4y = 160
y = 40
Si y = 40, entonces:
x = y - 20
x = 20
Además, z = 2y - 20
z= 60
RPTA:
x=20
y=40
z=60
Step-by-step explanation:
Which expressions are polynomials??
Answer:
Options (1) and (2)
Step-by-step explanation:
Properties of a polynomial,
1). A polynomial having division by a variable can't be defined as a polynomial.
Example:
(y² + [tex]\frac{x}{1+x}[/tex])
2). A polynomial can't have a negative exponent.
Example : [tex](x^{-2}+y-6)[/tex]
3). Polynomials don't have the radicals.
Example : y² + x√3
4). A polynomial can't have a fraction exponent.
Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]
By these properties, Options (3) and (4) are not the polynomials.
Options (1) and (2) are the correct options.
what is y 5(y -10)=-5
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
We move all terms to the left:
5(y-10)-(-5)=0
We add all the numbers together, and all the variables
5(y-10)+5=0
We multiply parentheses
5y-50+5=0
We add all the numbers together, and all the variables
5y-45=0
We move all terms containing y to the left, all other terms to the right
5y=45
y=45/5
y=9
The value of y = 9 is correct. Therefore, the solution is y = 9.
To solve the equation 5(y - 10) = -5 for y, follow these steps:
Step 1: Distribute the 5 on the left side of the equation:
5y - 50 = -5
Step 2: Move the constant term to one side by adding 50 to both sides:
5y - 50 + 50 = -5 + 50
Step 3: Simplify the left side and evaluate the right side:
5y = 45
Step 4: Isolate y by dividing both sides by 5:
5y / 5 = 45 / 5
Step 5: Simplify and calculate y:
y = 9
The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:
5(9 - 10) = -5
5(-1) = -5
-5 = -5
Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.
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[tex] {3}^{a} = \frac{1}{9} [/tex]
[tex] {3}^{b} = 9 \sqrt{3} [/tex]
[tex] {3}^{c} = \frac{1}{ \sqrt{3} } [/tex]
Work out the value of a + b + c
Write y = 3x - 5 in function notation
Answer:
f(x) = 3x -5
Step-by-step explanation:
The equation for a line is already a type of function, so you simply replace y for f(x), g(x), or something similar to that
The function notation of y = 3x - 5 is
f(x) = 3x - 5.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 3x - 5
Put y = f(x)
Where x is the input and f(x) is the output.
Thus,
f(x) = 3x - 5 is our function.
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Sides of a triangle are of the ratio 2:3:4. If the perimeter of the triangle is 90 cm, what is the area of the triangle?
Answer:
this might help you....
The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.
What is perimeter of a triangle?The perimeter of a triangle is the sum of the whole sides of the triangle.
Therefore, the perimeter is given as follows:
perimeter = 90 cm
Hence, the sides can found as follows:
2 / 9 × 90 = 20 cm
3 / 9 × 90 = 30 cm
4 / 9 × 90 = 40 cm
Area = √s(s-a)(s-b)(s-c)
where
a, b and c are the sidess = semi perimeterHence,
s = 90 / 2 = 45
a = 20 cm
b = 30 cm
c = 40 cm
Therefore,
area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)
area of the triangle =√45(25)(15)(5)
area of the triangle = √84375
area of the triangle = 290.473750966
area of the triangle = 290. 47 cm²
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Which situation is best modeled with a division expression? the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6 the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
the cost per pint of 3 pints of blueberries if the total cost was $6
Step-by-step explanation:
This is the correct answer
I hope this helps you!
Answer:
C
Step-by-step explanation:
HELP I'M GONNA FAIL
Answer:
1/10
Step-by-step explanation:
7000/70000=1/10
What does 4 tens and 10 ones represent?
Answer:
50
Step-by-step explanation:
Step 1:
40 + 10
Answer:
50
Hope This Helps :)
One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)
Answer: (3x2 − 2x + 5)
Step-by-step explanation:
The other factor of the polynomial (3x+5) and (x-1).
What is long division method?Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.
Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).
Using long division method, we get
2x+1|6x³-x²+8x+5|3x²+2x-5
(-)6x³+3x²
_____________
-4x²+8x+5
4x²+2x
_____________
10x+5
-10x-5
_____________
0
Now, the factors of quotient 3x²+2x-5 are
3x²+5x-3x-5
= x(3x+5)-1(3x+5)
= (3x+5)(x-1)
Therefore, the other factor of the polynomial (3x+5) and (x-1).
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2gallon container of window cleaner costs $15.04. What is the price per cup?
Answer:0.47 cents per cup
Step-by-step explanation:
Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer
Simplify 7N - 2N + 3P + 2P.
Answer:
5N+5P
Step-by-step explanation:
7N-2N=5N
3P+2P=5P
4(2x + 9) = - 17+ 13
Answer:
x= -5
•use photomath it gives you answers to these kinds of math problems. hope this helped:))
Community Gym charges a $70 membership fee and a $70 monthly fee. Workout Gym charges a $200 membership fee and a $60 monthly fee. How many months will it take for the cost of both gyms to be the same? And what is the cost of the gyms during that number of months
Answer:
6 months
Step-by-step explanation:
Common factors of 12 and 18
Answer:
2,4,6,1,3
Step-by-step explanation:
Answer:
1,2,3,6
Step-by-step explanation:
What are the equivalent expressions for aº and a " ? Why do
these rules work?
Solve the quadratic equation.
x^2 = -8x - 7
A. {7, -1}
B. {-1, -7}
C. {8,1}
D. {7,1}
E. (-8, -1}
Answer:
B, (-1, -7)
Step-by-step explanation:
I’m only solving for x, it’s triangle mid-segment.
Step-by-step explanation:
Hey there!!
I hope you remember that mid-segment theorem, in which it is stated that, line which passes through the midpoint of one side triangle bisects base, are parallel to another side of triangle and that line is half of parallel side. (i.e CB = 1/2 of RT) .
Now, Let's simply solve it.
[tex]cb = \frac{1}{2} \times rt[/tex]
Put their values as given in question.
[tex]x + 19 = \frac{1}{2} \times (x + 29)[/tex]
Simplify them.
2x + 38 = x +29
2x - x = 29 - 38
x = -9.
Hope it helps...
Which expression is equivalent to this polynomial expression?
(8x2y2 – 9x2y + 9y) – (6x2y – xy2 + 4y)
Answer: 8x2y2−15x2y+xy2+5y
Step-by-step explanation: option B or D i cant really see the screen, sorry
-8(7x+8)=-8x+34 i need help solving this equation .
Answer:
x = -49/24
Step-by-step explanation:
The first step in solving this equation is to use the distributive property to eliminate the parentheses on the left side of the equation.
-8(7x+8) = -8x + 34
-56x - 64 = -8x + 34
Next, we should add 8x to both sides of the equation.
-48x - 64 = 34
Next, we can add 64 to both sides of the equation.
-48x = 98
Finally, we can divide both sides of the equation by -48 to get the variable x alone on the left side of the equation.
x = -98/48 = -49/24
Therefore, the correct answer is -49/24.
Hope this helps!
A package of 4 pairs of insulated gloves costs $31.16. What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.
Answer:
$7.79 per pair of gloves
Step-by-step explanation:
divide
31.16÷ 4 = 7.79
Select the correct answer from each drop-down menu. cos2x-cos4x/sin2x+sin4x cos2x+cos4x/sin2x-sin4x
Select the correct answer from each drop-down menu.
cos2x-cos4x/sin2x+sin4x = tan x
cos2x+cos4x/sin2x-sin4x = -cot x
The trigonometric equations have value tan x, -cot x .
What is a Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.
The trigonometric equation is
(cos 2x - cos 4x )/(sin2x +sin4x)
cos A + cos B = - sin (A+B)/2 sin(A-B)/2
sin A - sin B = sin( A+B)/2 cos (A-B)/2
= (-sin 3x) sin ( -2x)/2)/( cos 3x cosx)
= sin 3x sin x/ (sin 3x) cos x
= tan x
The other equation is
(cos 2x +cos 4x)/(sin 2x- sin4x)
= cos 3x cosx/ cos3x sin(- x)
= - cot x
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Factor each Polynomial. 3x² + 28x + 32=
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]
[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]
Graphs of functions on the interval [0, 4] are depicted below. For each function, find its maximum and minimum values.
The maximum value is:
The minimum value is:
Answer:
To find the extremes, we must see the graph.
The maximum will be the value where the value of y is the greatest.
We can see that the graph peaks at y = 3.
Then the maximum is 3.
The minimum is the value of y that is the lowest.
We can see that in the left side, when x = 0, y takes the lowest value, y = -1
Then the minimum in the interval is -1.
The easier way to see maximum/minimum value is to look at the highest/lower value in the graph.
Please helpp!! What are the steps for using a compass and straightedge to construct the bisector of ∠G? Two rays share a common endpoint labeled G, forming an obtuse angle. One ray is horizontal and points right. The second ray is inclined to horizontal in upward-left direction. Drag the steps and drop them in order from start to finish.
Answer:
Use the straightedge to draw GK−→−. Place the point of the compass on point H and draw an arc in the interior of the angle. Label the intersection of the arcs in the interior of the angle as point K. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G.
Solve for x.
[tex] - 2(6 + x) = 18 - 3x[/tex]
x = [?]
An item has a listed price of $95. If the sales tax rate is 9%, how much is the sales tax (in dollars)?
Given A (-3,5) and B (6,7) find AB
Answer:2/9
Step-by-step explanation:
AB=[tex]\frac{7-5}{6+3}[/tex]
=[tex]\frac{2}{9}[/tex]
Combine like terms to reach the top of the pyramid by clicking and dragging
the expressions into the correct spots. The 1st one is done for you.
Sorry answered for more points for more questions I'm so sorry.
(4x)(3z+y)+2x(3y+2z)=axz +bxy. Determine the values of a, b, and c
Answer:
a = 16
b = 10
In the equation from the question there's no value that you can determine for c.
Step-by-step explanation:
(4x)(3z+y)+2x(3y+2z)=axz+bxy12xz+4xy+6xy+4xz16xz+10xyWhat is the answer to X(x+7)
Answer:
[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x(x + 7)}[/tex]
Distribute x through the parentheses
[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]
Hope I helped!
Best regards! :D