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2 years ago

14

Factor the expression. 3x2 + 7x-6

1 answer:

Sedbober [7]2 years ago

3 0

Answer:

this answer is. _48 am I right

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Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{2}=a_{1}+(2-1)d$

$a_{2}=a_{1}+(1)d$

Substituting the given value we get

$a_{2}= -2+(1)4$

$a_{2}= -2+4$

$a_{2}= 2$

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

Similarly

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the given value we get

$a_{3}= -2+(2)4$

$a_{3}= -2+8$

$a_{3}= 6$

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

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the given value we get

$a_{4}= -2+(3)4$

$a_{4}= -2+16$

$a_{4}= 10$

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

<u>B</u><u> $a_n=a_{(n-1)}-8$ with $a_1=10$ </u>

$a_2=a_{(2-1)}-8$

$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

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

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

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

$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

$a_4= -6-8$

$a_4= -14$

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

<u>C) $a_1=3, a_2=1$ </u>

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

$a_{3}= -1$

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

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

$a_{4}= -3$

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

$a_{5}=a_{1}+(5-1)d$

$a_{5}=a_{1}+(4)d$

Substituting the value we get

$a_{5}= 3+(4)-2$

$a_{5}= 3-8$

$a_{5}= -5$

4 0

3 years ago

HELPPPP ME PLZZZZ!!!!!!

mihalych1998 [28]

<h3>Answers:</h3>

14. Each leg is $21\sqrt{2}$ units long.

15 (a). The longer leg is $7\sqrt{3}$ units long

15 (b). The hypotenuse is $14$ units long

=====================================================

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

$y = x\sqrt{2}$ where x is the leg and y is the hypotenuse

Let's solve for x

$y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\$

Now plug in the given hypotenuse y = 42, this leads to,

$x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\$

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

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is $7\sqrt{3}$

5 0

3 years ago

If an object moving at 1 mile/hour accelerates 1 mile/hour for every meter it travels, how fast will it be travelling in half of

d1i1m1o1n [39]

Answer:

Speed = 0.0003miles/hr

Step-by-step explanation:

Speed of object = 1 mile/hour

For every meter it travels, its acceleration increases by 1 mile/hour

∆Distance = increase in distance

∆speed = 1 meter

The speed and the distance are constant

Speed = distance/time

Time = distance/speed = 1meter/(1 miles/hr)

Convert meter to miles

1609.34 meters = 1mile

1meter = (1meter × 1mile)/(1609.34 meters)

1 meter = (1/1609.34)miles

Time = distance/speed = (1/1609.34)miles/(1 miles/hr)

Time = (1/1609.34)hr

We are to determine the speed the object would be travelling in half of an hour?

In 1hr, it travels (1/1609.34)miles

In ½hr, it travels = (1/1609.34)(½)hr

Speed = 0.0003miles/hr

It will be travelling 0.0003miles/hr in half of an hour

6 0

2 years ago

4/5 ÷ 5/6 i don't know the answer pls help me you will get free rabax

kow [346]

Answer:

24/25

Step-by-step explanation:

I use the keep change flip method.

Keep the first fraction the same (leave it alone)

4/5 ÷ 5/6

Change the symbol from ÷ to ×

4/5 × 5/6

Flip the fraction (write its reciprocal)

4/5 × 6/5

Multiply across

6 0

3 years ago

What is the value of x?

arsen [322]

I believe your answer is 12. Sorry if it's wrong!

5 0

3 years ago

Read 2 more answers