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3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

Answer:

$\displaystyle [-1, -4] → Vertex \\ [0, -3] → y-intercept \\ [-3, 0], [1, 0] → x-intercepts$

Step-by-step explanation:

The y-intercept is your <em>C</em>, which is −3.

Now, to get both x-intercepts, factor the trinomial:

$\displaystyle [x - 1][x + 3]$

When set equal to zero, you will get −3 and 1.

Finally, to get the vertex, convert this Quadratic Equation to <em>Vertex Form</em> by completing the square, $\displaystyle [\frac{b}{2}]^2$ :

$\displaystyle f(x) = x^2 + 2x - 3 \\ f(x) = x^2 + 2x + 1 + k \\ f(x) = x^2 + 2x + 1 - 4 \\ \\ f(x) = [x + 1]^2 - 4 → [-1, -4] = Vertex$

* Recall, −h gives the OPPOSITE terms of what they really are, so do not forget it.

I am joyous to assist you anytime.

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Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?

PilotLPTM [1.2K]

Ms. Drake will earn $\$ 170$ in this time from the investment of $\$ 1000$ at a simple interest with rate of interest $8.5\%$

<h3>What is the definition of simple interest?</h3>

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is $\frac{principal \times rate \ of \ interest \times time}{100}$

Given principal of Ms. Drake is $\$1000$

Rate of interest is $8.5 \%$

Time is $2$ years.

Interest $=\frac{1000 \times 8.5 \times 2}{100}$

$=\frac{17000}{100}\\=170$

Therefore, Ms. Drake will earn $\$ 170$ in this time.

To learn more about simple interest from the given link

brainly.com/question/7639734

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7 0

1 year ago

Helpp!!<br> Simplify : [( 4 1/6 + 2 1/3 ) ÷ 4 1/3 ] - 1 1/2

Nadusha1986 [10]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}$

Step-by-step explanation:

$\sf{ [ (4 \frac{1}{6} + 2 \frac{1}{3} ) \div 4 \frac{1}{3}] - 1\frac{1}{2} }$

Convert the mixed numbers into improper fraction

$\longrightarrow{ \sf{ [ ( \frac{25}{6} + \frac{7}{3} ) \div \frac{13}{3}] - \frac{3}{2}}}$

Add the fractions : 25 / 6 and 7 / 3

While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.

To do so, first take the L.C.M of 6 and 3 which results to 6

$\longrightarrow\sf{ [( \frac{25 + 7 \times 2}{6} ) \div \frac{13}{3} ] - \frac{3}{2}}$

$\longrightarrow{ \sf{ [( \frac{25 + 14}{6} ) \div \frac{13}{3} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ [ \frac{39}{6} \div \frac{13}{3}] - \frac{3}{2} }}$

Multiply the dividend by the reciprocal of the divisor.

Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

$\longrightarrow{ \sf{ [ \frac{39}{6} \times \frac{3}{13} ] - \frac{3}{2}}}$

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ [ \frac{39 \times 3}{6 \times 13} ] - \frac{3}{2}}}$

$\longrightarrow{ \sf{ [ \frac{117}{78} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ \frac{3}{2} - \frac{3}{2} }}$

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same

$\longrightarrow{ \sf{ \frac{3 - 3}{2} }}$

Subtract 3 from 3

$\longrightarrow{ \sf{ \frac{0}{2}}}$

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$\longrightarrow{ \sf{0}}$

Hope I helped!

Best regards!

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Kipish [7]

Answer:

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Step-by-step explanation:

Slope-intercept form

(y = mx+b)

m = slope and b = y-intercept

The line crosses the y-axis at (0, 1), therefore the y-intercept (b) = 1

The slope (m) = 1

Because the slope is 1, it does not need to be written in the equation, as any number multiplied by 1 is that number.

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