All categories

3 years ago

Factor 16x 2 + 24x + 9

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

$16x^2+24x+9= 16x^2 + 12x + 12x + 9\\\\=4x(4x+3)+3(4x+3)\\\\=\boxed{\bf{(4x+3)(4x+3)=(4x+3)^2}}$

You might be interested in

The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

3 0

3 years ago

Read 2 more answers

Need help with question 3. ASAP PLS. Much appreciated :)

s2008m [1.1K]

Emma is running faster than Maggie. The point on the graph where the two lines intersect represents the spot on the running track where Maggie and Emma are at the same distance from the starting point.
Since Emma starts ahead of Maggie, Maggie has to run FASTER to catch up with Emma.
I hope this helps :)

4 0

3 years ago

Please help i’ll do anything and give the brain thing :((

ASHA 777 [7]

Answer:

add me on snap kharding1805 and I will add you back

3 0

3 years ago

5TH GRADE LEVEL QUESTION: Look at photo and list it step by step GIVING OUT BRAINLIEST.

jasenka [17]

Answer:

(3+4x4)-7

(3+16)-7

19-7

4 0

3 years ago

Brainliest

Anna [14]

Answer:

B) A dilation followed by a reflection

3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.

dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.

<h2>Brainliest!!!!!!</h2>

8 0

3 years ago