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3 years ago

4. What are the terms in the expression, 9- 4 + 3b + 7a?

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:

The terms are 9, 4, 3b and 7a.

The terms are 9 – 4 and 3b + 7a.

The terms are 9, -4, 3b, and 7a.

Step-by-step explanation:

You might be interested in

Find the truth set of each predicate.

Sedbober [7]

The truth set for each predicate are:

a) d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}

b) d ∈ { 1, 2, 3, 6}

c) x ∈ { [-2, -1] U [1, 2]}

d) x ∈ {-2, -1, 1, 2}

<h3>How to find the truth set of each predicate?</h3>

We only need to find the sets of values such that the statements are true.

We want to find vales of d, such that d is an integer, and 6/d is an integer.

Here the possible values of d will be:

d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}

Which are all the factors of 6, so all these integers divide 6.

b) Same as before, but this time the domain is a positive integer, so now the truth set will be:

d ∈ { 1, 2, 3, 6}

c) We want to find real values of x such that:

1 ≤ x² ≤ 4

If we apply the square root to the 3 sides, we get two inequalities:

-√1 ≥ x ≥ -√4

√1 ≤ x ≤ √4

Simplifying:

-1 ≥ x ≥ -2

1 ≤ x ≤ 2

So the truth set is:

x ∈ { [-2, -1] U [1, 2]}

c) Same as before, but now we only have integer solutions, so the truth set is:

x ∈ {-2, -1, 1, 2}

If you want to learn more about predicates:

brainly.com/question/18152046

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5 0

2 years ago

If 1 inch is 500 miles, then 4 inches is how many miles?

tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

$1 inch=500 miles$

This can be rewritten as:

$\frac{500 miles}{1inch}$

This is representative of a unit rate, as we have a $1$ in the denominator. To calculate the number of miles in $4$ inches, simply multiply the unit rate by $4$ :

$\frac{500 miles}{1inch}*4=$

$\frac{2000 miles}{4 inches}$

This can rewritten as:

$4inches=2000miles$

Therefore, there are 2,000 miles in 4 inches.

We can check our solution by simplifying the fraction $\frac{2000 miles}{4 inches}$ by dividing both $2000$ and $4$ by $4$ to see if we achieve the unit rate: