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3 years ago

The numerator of 2/7 is less or greater

Mathematics

1 answer:

Likurg_2 [28]3 years ago

8 0

the numerator 2/7 is greater

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What temperature is ten degrees higher than -7c

Kipish [7]

+3°C

an increase in temperature is denoted by +

- 7 + 10 = +3C

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3 years ago

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

$\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b$

$4+0=a+\sqrt 3 b$

On comparing we get :

a = 4 and b = 0

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3 years ago

Write an expression that is equivalent to 5(3x+2z)

Olin [163]

15x+10z is equivalent to 5(3x+2z)

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3 years ago

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scott started his banking account with $150 and is spending $7 per day on lunch. this situation models which type of function

Zina [86]

Answer:

linear function: y = -7x + 150

Step-by-step explanation:

Scott's situation represents a linear function because he is spending $7 each day on lunch. His initial amount in his bank account is $150 and each day he spends the same rate on lunch, $7. So, for any amount of days - represented by 'x' in the equation, you would multiply by -7 (since he is spending) and subtract this amount from his original amount of $150. In this equation, 'y' is equal to his total after 'x' amount of days.

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3 years ago

Which equation represent the graphed function

UkoKoshka [18]

Answer:

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = $\frac{-1+2}{4-0}$ = $\frac{1}{4}$