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3 years ago

Someone please help me in algebra

Mathematics

1 answer:

Verdich [7]3 years ago

8 0

Is this the only problem you need help on ? Or is there more ?

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<img src="https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B9%7D%20%20%2B%201%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title="4 \

tino4ka555 [31]

Step-by-step explanation:

$\tt{ 1. \: \: 4 \frac{1}{9} + 1 \frac{1}{2}}$

⇢ $\tt{ \frac{37}{9} + \frac{3}{2} }$

⇢ $\tt{ \frac{37 \times 2 + 3 \times 9}{18} }$

⇢ $\tt{ \frac{74 + 27}{18} }$

⇢ $\tt{ \frac{101}{18}}$

⇢ $\boxed{ \tt{5 \frac{11}{18}} }$

---------------------------------------------------------

$\tt{ \: 2. \: \: 4 \frac{1}{2} \div \frac{3}{5}}$

⇢ $\tt{ \frac{9}{2} \times \frac{5}{3}}$

⇢ $\tt{ \frac{9 \times 5}{2 \times 3}}$

⇢ $\tt{ \frac{45}{6}}$

⇢ $\boxed{ \tt{7 \frac{3}{6}} }$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0

3 years ago

Which number line represtents the solution to |x+4|=2?

vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

$|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x$

To solve the equation, you need to treat the two cases as above:

$|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2$

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

$|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x$

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0

3 years ago

What is the equation of a line passing through (-3,7) and having a slope of -1/5?

g100num [7]

We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5

So, the y-intercept will be at 6 2/5.

4 0

3 years ago

PLEASEE HELPP!!!<br> What is the mistake in setting up the quadratic formula?

timama [110]

Answer:

First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

7 0

2 years ago

Read 2 more answers

Which is a y-intercept of the continuous function in the table ? A.(0,-6) B.(-2,0) C.(-6,0) D.(0,-2)

viva [34]

Answer:

A. (0, -6)

Step-by-step explanation:

when x is 0, there has to be a y-int. As shown in the table, it is -6. Therefore the answer is A

5 0

3 years ago

Read 2 more answers