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noname [10]
3 years ago
6

Which inequality represents that −14 more than twice a number is no less than 18?

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
-14>2x>18

Hope this helps!
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What is y= -2/3x + 5 written in standard form?
GaryK [48]

1) the standar form of the  equation is  ax+by  = c, therefore, for  y = -2/3x+5, multiply by 3 the previous equation, and its result is  3y = -2x+15⇒ 3y +2x = 15

the final result is  2x+3y = 15

 

6 0
3 years ago
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What is the volume of the box
Sergeu [11.5K]

Answer: 240

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6 0
3 years ago
Ms. Gonzales is investing $17000 at an annual interest rate of 6%
Damm [24]

Answer:

$30444.41

Step-by-step explanation:

→ Work out compound interest

(100 + 6) ÷ 100 = 1.06

→ Multiply the amount by the money

17000 × 1.06

→ Find how many years it is for

17000 × 1.06¹⁰ = 30444.41

6 0
3 years ago
Simplify the following expression:<br> (x^3 y^4 z^2) (y^4 z^6 x^4)
podryga [215]

Answer:

x^7y^8z^7 may be it is answer cause i think yhiai is basic of indices. U just have to add with it's common variable's powrt.

8 0
3 years ago
Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)​
GenaCL600 [577]

Given:

Consider the given function:

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}

To prove:

f(a)+f(b)=f(a+b)

Solution:

We have,

f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}

Substituting x=a, we get

f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}

f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}

f(a)=0+a

f(a)=a

Substituting x=b, we get

f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}

f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}

f(b)=b+0

f(b)=b

Substituting x=a+b, we get

f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}

f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}

f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}

f(a+b)=\dfrac{b^2-a^2}{b-a}

Using the algebraic formula, we get

f(a+b)=\dfrac{(b-a)(b+a)}{b-a}          [\because b^2-a^2=(b-a)(b+a)]

f(a+b)=b+a

f(a+b)=a+b               [Commutative property of addition]

Now,

LHS=f(a)+f(b)

LHS=a+b

LHS=f(a+b)

LHS=RHS

Hence proved.

5 0
2 years ago
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