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4 years ago

Help solve! stuck on factoring

Mathematics

2 answers:

Lilit [14]4 years ago

5 0

A equals x b equals 4

sweet-ann [11.9K]4 years ago

4 0

Answer:

a = x and b = 4

Step-by-step explanation:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

a = x and b = 4

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Given the equation square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution. x = one fourth, solut

Rainbow [258]

Answer:

x=3, solution is not extraneous

Step-by-step explanation:

we have

$\sqrt{8x+1}=5$

Solve for x

squared both sides

$(\sqrt{8x+1})^2=5^2$

$8x+1=25\\8x=25-1\\8x=24\\x=3$

<u><em>Verify</em></u>

For x=3

$\sqrt{8(3)+1}=5$

$\sqrt{24+1}=5$

$\sqrt{25}=5$

$5=5$ -----> is true

therefore

x=3, solution is not extraneous

5 0

3 years ago

if f(x)=2(x)^2+5sqrt(x+2), complete the follwoing statement ( round your answer to the nearest hundreth) : f(0)=_____

Maslowich

Answer:

$f(0)=7.07$

Step-by-step explanation:

We have the function $f(x)=2(x)^2+5\sqrt{(x+2)}$

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

$f(0)=2(0)^2+5\sqrt{(0+2)}$

$f(0)=0+5\sqrt{(0+2)}$

$f(0)=5\sqrt{(2)}$

Therefore

$f(0)=7.07$

5 0

4 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = $\frac{180-120}{2}=30$

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = $\frac{DC}{AC} =\frac{4}{x}$

Since DCB is a straight line m∠ACD+m∠ACB =180

m∠ACD = 180-m∠ACB = 60

Hence $cos(60)=\frac{4}{x}$

$x=\frac{4}{cos60}= 8$

Now let us consider ΔBDE, sin(∠DBE) = $\frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}$

$DE = 12sin(30) = 6cm$

7 0

4 years ago

Help plz..And No links!! I repeat No links!!

ser-zykov [4K]

Answer:

Step-by-step explanation:

shapes are similar.

purple shape is double the red and 2x2 is four

so the answer is 4m

7 0

3 years ago

Read 2 more answers

The frosty ice cream shop sells sundaes for $2 and banana splits for $3. On a hot day the shoot sold 8 more sundaes than banana

sashaice [31]

Let’s designate the number of banana splits sold as x. That means the number of sundaes sold is x + 8.

Now if we put this into an equation, also keeping in mind their costs, we get:
3(x) + 2(x + 8) = 156

Now to solve for x:
3x + 2(x + 8) = 156
3x + 2x + 16 = 156
5x = 140
x = 28

That means you’ve sold 28 banana splits and 36 sundaes! :)

7 0

4 years ago