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mina [271]
3 years ago
5

Ralph is 3 times as old as sarah. In 6 years, ralph will be only twice as old as sarah will be then. Find ralph's age now. If x

represents sarah's age now, which of the following expressions represents ralph's age in six years?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0
X - S<span>arah's age now
3x - </span><span>Ralph is 3 times as old as Sarah, now
x+6 - </span>Sarah's age in 6 years
2(x+6)=2x+12 - R<span>alph will be only twice as old as Sarah will be in 6 years
</span>Ralph's age in six year can be also written as 3x+6<span>

So
</span>Ralph's age now is 3x.
Ralph's age in six years is 2x+12 and 3x+6.

We can find age of Sara now,
2x+12=3x+6
3x-2x=12-6
x=6,
Ralph's age now is 3x=3*6=18
Now Sara is 6 years old, Ralph is 18 years old.

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Based on its degree, what kind of polynomial is this <br><br> h(x)= -6x^3+2x-5
Lelechka [254]

Answer:

cubic polynomial

Step-by-step explanation:

Given polynomial is \[h(x)=-6x^{3}+2x-5\]

A polynomial of degree 1 is a linear polynomial.

A polynomial of degree 2 is a quadratic polynomial.

A polynomial of degree 3 is a cubic polynomial.

In this case the exponent with the maximum value in the polynomial is 3.

Hence the degree of the polynomial h(x) is 3.

Hence the given polynomial is a cubic polynomial.

7 0
3 years ago
I need help and a right answer.
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

P1(3,3)

P2(1, -5)

M= (-5-3)/(1-3)=-8/-2=4

Y=4x-9

6 0
3 years ago
Solve the equation for x, where x is a real number (5 points): <br> -5x^2 + 7x + 41 = 32
wel
Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.

To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
                   x = [ -b ± √(b^2 - 4ac) ] / (2a)
                   x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
                   x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
                   x = [ -7 ± √(229) ] / ( -10)
                   x = [ -7 ± sqrt(229) ] / ( -10 )
                   x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
6 0
3 years ago
Which equation does the graph of the system of equations solve?
jasenka [17]

Answer:

B

Step-by-step explanation:

Equation of line 1:

Choose two points : (-1, 0) & (0,2)

y -intercept = b = 2

y = mx+ 2

Plugin the values of the points ( -1 , 0) in the above equation

0 = -1m + 2

-2 = -m

m  = 2

Equation of line 1 : y = 2x + 2

Equation of line 2:

(5,0) & (0,5)

y-intercept = b = 5

y = mx +b

y = mx + 5

Plugin the value of points (5 , 0) in the above equation

0 = 5m + 5

-5 = 5m

-5/5 = m

m = -1

Equation of line 2: y = -x + 5

Conclusion: 2x + 2 =  -x + 5

3 0
2 years ago
A cylindrical bowl has a radius of 15cm. It is filled with water to a depth of 12cm. Work out the volume of water in the bowl. G
julsineya [31]
You use pi times radius squared. Pi 15 squared=706.858 then take 706.858 and multiply it by the depth of 12. 706.858×12=8482.3 Cm squared. 8482.3 cm to liters is about 8.5 liters
4 0
3 years ago
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