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Anni [7]
3 years ago
9

7x+3y=7/6 Y=6x-1 Use the method of substitution to solve

Mathematics
2 answers:
denis-greek [22]3 years ago
6 0

Answer:

x= 1/6

y= 0

Step-by-step explanation:

7x+3(6x-1) = 7/6               Substitute in.

7x+18x-3 = 7/6                 Distributive Property.

25x = 25/6                       Isolate the variable.

x= 1/6                               Divide by 25.

y= 6(1/6)-1                        Substitute in.

y= 1-1                              Multiply.

y= 0                                Subtract.

jeka943 years ago
5 0

Answer:

X=1/6 Y=0

Step-by-step explanation:

If Y= 6x-1, substitute Y on the first equation

7x+3(6x-1)=7/6

7x+18x-3=7/6

25x=(7/6)+3

25x=25/6

x=1/6

Then substitute X on the second equation

Y=6(1/6)-1

Y=0

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Find the values of a and b such that x2 - 2x + 2 = (x -a) + b LOADS OF POINTS ON THE LINE!!!
Hitman42 [59]

Answer:

Step-by-step explanation:

Factorize using square root method.

x² - 2x + 2 = (x-a)² + b

x² -2x + 1 + 1 = (x-a)²+b

(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b       {Compare with a²- 2ab+b² which is (a - b)²}

(x - 1)² + 1 = (x - a)² + b

a = 1 and b = 1

6 0
3 years ago
Y varies directly as x. Y=42 when x=6. Find the value of y when x =15.
pentagon [3]

Answer:

y=120

Step-by-step explanation:

Y varies directly as x is written as

y \alpha x

introducing a constant

y=kx

<em>from</em><em> </em><em>the</em><em> </em><em>ques</em><em>tion</em><em>,</em><em> </em><em>whe</em><em>n</em><em> </em><em>y</em><em>=</em><em>4</em><em>8</em><em>,</em><em> </em><em> </em><em>x</em><em>=</em><em>6</em>

<em>sub</em><em>stitute</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>form</em><em>ula</em>

<em>4</em><em>8</em><em>=</em><em>6</em><em>k</em>

<em>making</em><em> </em><em>k</em><em> </em><em>the</em><em> subject</em><em> </em><em>by </em><em>divi</em><em>ding</em><em> </em><em>thr</em><em>ough</em><em> </em><em>by</em><em> </em><em>6</em>

<em>\frac{48}{6}  =  \frac{6k}{6}</em>

k=48/6

k=8

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<em>y</em><em>=</em><em>8</em><em>x</em>

from the question,the value of y when x=15 is given by

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y=120.

4 0
3 years ago
F(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).
elena-s [515]

Answer:

( f h ) (x)  = 6 x² - 1

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given<em> f(x)   =  3 x - 4</em>

         g (x)  = −x²+2 x−5

      <em>   h (x)  = 2 x² + 1</em>

         j (x)    = 6 x + 2 - 8 x

        K (x)   = 3 x² - x + 7

<u><em>Step(ii)</em></u>:-

<em>( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )</em>

                            =  3 (2 x² + 1 ) - 4

                            =  3 ((2 x² ) + 3 - 4

                           =   <em>6 x² - 1</em>

<u><em> Final answer:</em></u>-

∴ <em> ( f h ) (x)  = 6 x² - 1</em>

3 0
3 years ago
PLEASE HELP ME OUT ASAP! I WOULD REALLY APPRECIATE IT AND GOD BLESS
77julia77 [94]
To approximate the P(x<27) we need to find the z-score of the data, this will be given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
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thus
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=0.1056
=10.56%

Answer: 10.56%
5 0
3 years ago
Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...
vlada-n [284]

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.

3 0
3 years ago
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