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3 years ago

What is the value of x

Mathematics

2 answers:

harkovskaia [24]3 years ago

7 0

Answer: x=37.8, you can solve by writing a proportion

Basile [38]3 years ago

7 0

Answer:

x = 37.8

31.5/15=2.1

2.1 x 18=37.8

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What is the slope-intercept form of m= -4

just olya [345]

Answer:

y = - 4x

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b. In this case, m is - 4 and no b value is given.

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3 years ago

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“7a - 17 = 4a +1”<br><br> Step by step pls

Monica [59]

Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

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3 years ago

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)

Leviafan [203]

Answer:

$\huge\boxed{x=1\ \vee\ x=2}$

Step-by-step explanation:

$3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}$

$\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}$

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3 years ago

Write the sentence as an equation.

bearhunter [10]

The solution to a given word problem by writing it as an equation is k = 253/232

<h3>Expressing word problems in mathematical forms:</h3>

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

253 = 232 × k
253 = 232k

Making k the subject of the equation, we have:

k = 253/232

Learn more about expressing word problems here:

brainly.com/question/10556265

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2 years ago

-62 + 18y = 264<br> -12x - 36y = 130<br><br><br> What solution is this

sergeinik [125]

Answer: x = $-\frac{391}{6} =\\-65 \frac{1}{6}\\ -65.166666667\\y=\frac{163}{9}=18\frac{1}{9} \\18.111111111$

Step-by-step explanation: Multiply -36 and 163/9 to get -652. Add 652 to both sides then add 130 and 652 to get 782. Divide both sides by -12 then reduce the fraction 782/-12 to lowest terms by extracting and canceling out 2. The system is now solved.

3 0

2 years ago