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2 years ago

5-7 <-3 : what is the simplified form of the inequality below ?

Mathematics

1 answer:

Makovka662 [10]2 years ago

7 0

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

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Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

Then the written function in the form of vertice is

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

7 0

3 years ago

Which is a true statement? A. –11.6 > 7.52 B. –5.39 > –4.21 C. 8.7 < 8.63 D. –6.29 < –4.81

Natalija [7]

Well first lets review the information on these numbers. A negative number is less than 0. So the bigger the negative number, the smaller it actually is.

So...

a) -11.6 > 7.52 (A negative is not greater than a positive!)
b) -5.39 > -4.21 (The bigger the negative the smaller the number -Nope!)
c) 8.7 < 8.63 (Nope- you can tell just by knowing the common number)
d) -6.29 < -4.81 (YES!!)

hope that helps!

7 0

2 years ago

Read 2 more answers

Compare the following fraction 4/3 and 5/2 -3/2. -4/5

zavuch27 [327]

Answer:

Step-by-step explanation:

to compare them, we need to convert them into like fractions

4/3 and 5/2

lcm of 3 and 2 is 6

4/3 × 2/2 = 8/6

5/2 × 3/3 = 15/6

15/6 is greater than 8/6

so 5/2 is greater than 4/3

similarly,

-3/2 and -4/5

we need to convert them into like fractions

lcm of 2 and 5 is 10

-3/2 × 5/5 = -15/10

-4/5 × 2/2 = -8/10

-8/10 is greater than -15/10

so -4/5 is greater than -3/2

Hope this helps

plz mark as brainliest!!!!

5 0

2 years ago

Every day, Susan exercises in the morning. She travels a total of 4 miles. She starts off with a half-hour walk at a pace of 2 m

Anna [14]

Let's assume

the number of hours Susan jogs at the increased speed is 't' hours

Since, increased speed is 6 miles per hour

after 't' hours , she travles with increased speed is 6*t miles

She starts off with a half-hour walk at a pace of 2 miles per hour

so, she travels distance

=0.5*2 miles

=1 miles

She travels a total of 4 miles

total distance is

=6t+1

now, we can set them equal

$6t+1=4$

now, we can solve for t

Subtract both sides by 1

$6t+1-1=4-1$

$6t=3$

Divide both sides by 6

we get

$t=0.5$

so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer

7 0

2 years ago

I WILL GIVE YOU 100 PTS

ELEN [110]

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Hey, love!

This questions seems to require some type of visual or video. It might help if you go check out what your teacher gave you with this and then come back!

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3 0

2 years ago