the yearly deductible for john's health care decreased from $1250 to $1000. What is the percent decreased?

Mathematics

1 answer:

Dvinal [7]2 years ago

3 0

so, it went down from 1250 to 1000, namely 1250 - 1000 = 250.

now, if we take 1250 to be the 100%, what is 250 off of it in percentage?

$\bf \begin{array}{ccll}amount&\%\\\cline{1-2}1250&100\\250&x\end{array}\implies \cfrac{1250}{250}=\cfrac{100}{x}\implies 5=\cfrac{100}{x}\implies x=\cfrac{100}{5}\implies x=20$

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Multiply the polynomials show steps

Karo-lina-s [1.5K]

Answer:

3 $a^{4}$ + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.

(a² + 4a - 6) × (3a² - a + 3) =

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3}

Now we can evaluate the terms in the brackets.

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3 $a^{4}$ + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

We can open the brackets now. One plus and one minus makes a minus.

3 $a^{4}$ + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3 $a^{4}$ -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

Evaluate like terms.

3 $a^{4}$ -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3 $a^{4}$ + 11a³ - 7a² + 18a - 18

5 0

3 years ago