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3 years ago

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

from the question, when y=48, x=6

substitute it in the formula

48=6k

making k the subject by dividing through by 6

$\frac{48}{6} = \frac{6k}{6}$

k=48/6

k=8

put the value of k in the expression y=kx

y=8x

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

y=8×15

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:

Step(i):-

Given f(x) = 3 x - 4

g (x) = −x²+2 x−5

h (x) = 2 x² + 1

j (x) = 6 x + 2 - 8 x

K (x) = 3 x² - x + 7

Step(ii):-

( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )

= 3 (2 x² + 1 ) - 4

= 3 ((2 x² ) + 3 - 4

= 6 x² - 1

Final answer:-

∴ ( f h ) (x) = 6 x² - 1

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
z=-1.25
thus
P(x<27)=P(z<-1.25)
=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