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3 years ago

Solve the system of linear equations.

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

1. No solution

2. Infinite solutions

Step-by-step explanation:

1. To solve the system, set the equations equal to each other and solve for x.

2x - 5 = 2x + 7

-5 = 7

This is a false statement. This means there is no solution.

2. To solve the system, graph each equation.

y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.

3x + 4y = -10 converts to y = -3/4x -5/2.

This graphs as the exact same line. This system has infinite solutions.

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I do not understand this at all, can someone please help me with the steps in each question

Mandarinka [93]

Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

1) Alexandra

swim time = distance / velocity = 1.5 / 5 = 0.3 hr = 18 min

transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

6 0

3 years ago

Directions : Factor each of the following Differences of two squares and write your answer together with solution

N76 [4]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Factor each of the following differences of two squares and write your answer together with solution.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf \: x ^ { 2 } - 36$

Rewrite $\sf\:x^{2}-36 as x^{2}-6^{2}$ . The difference of squares can be factored using the rule: $\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}$

__________________

$\sf \: 49 - x ^ { 2 }$

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf \: \left(7-x\right)\left(7+x\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}$

__________________

$\sf \: 81 - c ^ { 2 }$

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf\left(9-c\right)\left(9+c\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}$

__________________

$\sf \: m ^ { 2 } n ^ { 2 } - 1$

Rewrite m²n² - 1 as $\sf\left(mn\right)^{2}-1^{2}$ . The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}$

4 0

3 years ago

Read 2 more answers

Pls help fast giving brainliest

Lerok [7]

Answer:

im not sure

Step-by-step explanation:

im noy sure

3 0

3 years ago

Solve 3(a + 3) – 6 = 21.

tester [92]

Answer:

a=6

Step-by-step explanation:

to find the value of a you need to simplify the equation first. so...

3(a+3)-6=21 (you remove the bracket first)

3a+9-6=21

3a+3=21 (you collect the like terms then)

3a=21-3

3a=18 (then you both divide both sides by 3 to find the value of a)

a=18/3

a=6

to check your answer substitute 3 instead of a

3(a+3)-6=21

3(6+3)-6=21

3(9)-6=21 (according to BODMAS since multiplication comes first you multiply 3 with 9 before subtracting it from 6.)

29-6=21

21=21

6 0

3 years ago

Read 2 more answers

How do if-then statements describe mathematical relationships?

Tanzania [10]

Answer:

Hypotheses followed by a conclusion is called an statement conditional statement. This is read - if then . A conditional statement is false if hypothesis is true and the conclusion is false. ... If we re- arrange conditional statement or change parts of then we have what is called a related conditional .

3 0

3 years ago