Mathematics: Yesterday kate and her cousin robert went out for a movie. there they spent $50 in total. robert spent $10 more than kate. how much did kate spend?

Yesterday kate and her cousin robert went out for

Ответ:

jeremytheprimerapper

23.02.2021

Mathematics

$\huge \colorbox{red}{ \rm (3x - 7)(x + 1)}$

Step-by-step explanation:

to understand thisyou need to know about:factoringPEMDAStips and formulas:quadratic expression:ax²+bx+c

factoring quadratic:

Find two numbers that multiply to give ac, and add to give brewrite the middle with those numbersfactor out common termsgrouplet's solve:

a is 3 and b is -7

$\quad ac=3\times -7$

therefore

$\quad ac=-21$

now we need to find two numbers that give -21

to do so we need to find the factors of 21

which are

$\quad 1,3,7$

likewise,

$\quad -1,-3,-7$

in this case we can take any two numbers from negative and positive factors that give us -21 and -4

3 and -7 are the two numbers that multiply to give -21 (3×-7=-21) and add to give -4. (3+(-7)=-4)

now let's factor:

$\sf rewrite \: - 4x \: as \: 3x - 7x : \\ \rm {3 x}^{2} + 3x - 7x - 7$ $\sf factor \: out \: 3x : \\ \rm 3x(x + 1) - 7x - 7$ $\sf factor \: out \: - 7 : \\ \rm 3x(x + 1) - 7(x + 1)$ $\sf \quad group : \\ \quad \rm (3x - 7)(x + 1)$

$\text{And we are done!}$

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Yesterday kate and her cousin robert went out for a movie. there they spent $50 in total. robert spent $10 more than kate. how much did kate spend?

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