Answer:
Step-by-step explanation:
In this problem we have a exponential equation of the form
where
y is the population of the city
x is the number of years
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=(1+r)
we have
substitute
For x=17 years
substitute the value of x in the exponential equation and solve for y
The slope is 3 because if you find the rise and run of two points. Run=1 rise=3 (divide the rise by the run) which equals 3. The slope is 3
Answer:
Step-by-step explanation:
30 kg - 4.3 kg = 25.7 kg
25.7 kg - 0.4 kg = 25.3 kg
25.3/2.3 = 11
There are 11 student books in the box.
Answer:
<h3>
By using the distributive property the matched equivalent expressions are</h3><h3>
1) -7(-4+x)
=28-7x
</h3><h3>
2) -7(4-x)
=-28+7x
</h3><h3>
3) 7(4+x)
=28+7x
</h3><h3>
4) 7(-4-x)
=-28-7x
</h3>
Step-by-step explanation:
Given that by using the distributive property to match the given equivalent expressions.
1) Given expression is -7(-4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(-4+x)
=(-7)(-4)+(-7)(x)
=28-7x
<h3>∴ -7(-4+x)
=28-7x
</h3>
2) Given expression is -7(4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(4-x)
=(-7)(4)+(-7)(-x)
=-28+7x
<h3>∴ -7(4-x)
=-28+7x
</h3>
3) Given expression is 7(4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(4+x)
=(7)(4)+(7)(x)
=28+7x
<h3>∴ 7(4+x)
=28+7x
</h3>
4) Given expression is 7(-4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(-4-x)
=(7)(-4)+(7)(-x)
=-28-7x
<h3>∴ 7(-4-x)
=-28-7x
</h3>
Hence the matched equivalent expressions are
1) -7(-4+x)
=28-7x
2) -7(4-x)
=-28+7x
3) 7(4+x)
=28+7x
4) 7(-4-x)
=-28-7x
