All categories

3 years ago

The expressions a(8x+7) and 4x+3.5 are equivalent. What is the value of a?

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Answer:

a=1/2

Step-by-step explanation:

From the question, the expression a(8x+7) is equivalent to 4x+3.5

Which means that multiplying 8x by a gives 4x and multiplying 7 by a gives 3.5

So, we can write the following to find the value of a

$a(8x+7)\equiv 4x+3.5$

we can write the following

8ax=4x

$\implies a=\frac{4x}{8x}= \frac{1}{2}$

Hence the value of a is 1/2

You might be interested in

What is the true solution to the logarithmic equation?<br>log2 [log2(sqrt4x)]=1

erastova [34]

Answer:4

Step-by-step explanation:

log₂[log₂(√4x)] = 1

log₂2 =1

So we replace our 1 with log₂2

log₂[log₂(√4x)] = log₂2

log₂ on bothside will cancel each other.

We will be left with;

[log₂(√4x)] = 2

log = power of exponential

√4x = 2²

√4x = 4

Square bothside

(√4x)² = 4²

4X = 16

Divide bothside by 4

4x/4 = 16/4

x = 4

8 0

3 years ago

Read 2 more answers

Y=a|x-h|+k please help

RSB [31]

Answer:

i can't answer this but i can tell you this

The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.

y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Step-by-step explanation:

it is not the answer but i hope it helps:)

7 0

2 years ago

Please help me In this

aniked [119]

Answer:

I think its C i think might be wrong

8 0

3 years ago

Major league baseball’s fastest recorded pitch is 105 miles per hour.The distance between the pitchers mound and home plate is 6

vovikov84 [41]

Answer:

1.75 seconds to get to the batter

7 0

3 years ago

How do u do b??????????

horrorfan [7]

the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.

the input goes to the 1st machine and the output of that goes to the 2nd machine.

if she uses and input of 6 on the 2nd one, the result will be 6² - 6 = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.

clearly we can never get an output of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.

let's check something, we need a -5 on the 2nd, so

$\bf \underset{final~out put}{\stackrel{y}{-5}}=x^2-6\implies 1=x^2\implies \sqrt{1}=x\implies 1=x$

so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.

$\bf \underset{first~out put}{\stackrel{y}{1}}=\sqrt{x-5}\implies 1^2=x-5\implies 1=x-5\implies 6=x$

so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.

$\bf \stackrel{first~machine}{y=\sqrt{\boxed{6}-5}}\implies y=\sqrt{1}\implies y=1 \\\\\\ \stackrel{second~machine}{y = \boxed{1}^2-6}\implies y = 1-6\implies y = -5$

5 0

3 years ago