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2 years ago

For what values of h does the equation have real solutions. √(3x-h)= x+3

Mathematics

1 answer:

Andru [333]2 years ago

4 0

Square both side to get

3x-h = (x+3)^2

distribute the squared

3x - h = x^2 + 6x + 9

subtract 3x from both sides

-h = x^2 + 3x + 9

The answer will only have real solutions if the right side is factorable

h= -19, and 2.25 are both values that would make the right side factorable

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If the total sticker price on a new car is $42,055 and you have to pay 7% sales tax, how much will you have to pay for the vehic

tresset_1 [31]

Answer:

$44,998.85

Step-by-step explanation:

Price of the car = $42,055

Tax = 7%

Total cost = Price of the car + amount of tax

= 42,055 + 7% of 42,055

= 42,055 + 7/100 * 42,055

= 42,055 + 0.07 * 42,055

= 42,055 + 2,943.85

= 44,998.85

Total cost = $44,998.85

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3 years ago

Find the circumference of circle with a radius of 63mm. Use 22/7 for pi

GREYUIT [131]

The circumference of circle with a radius of 63mm is 395.84

I hope this helps!

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2 years ago

realistate agentcy commission my be based on the equation C=0.05s+500,where s repersents the total sales.if the agent sells a pr

Nataliya [291]

C=0.05(125000)+500
C=6250+500
C=6750

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3 0

2 years ago

PLEASE HELP <br><br> I WILL BRAINLIEST !

jasenka [17]

Answer:

10 1/12

Step-by-step explanation:

In order to subtract fractions, you have to give them a common denominator.

18 1/2 can be rewritten as 18 6/12, as they are the same thing and 6/12 simplifies to 1/2. We make it 6/12 because we have to subtract it by 8 5/12, and the denominators are both 12.

So now we have 18 6/12 - 8 5/12, which gives us 10 1/12.

8 0

2 years ago

Which rules of exponents will be used to evaluate the expression. Check all that apply

julia-pushkina [17]

Hello!

The answer are:

- Product of powers.

- Power of a power.

- Negative exponents.

Let's solve it!

It's a math rule that we must solve first what's into a brake or parenthesis, so,

First: Product of powers $[(7)^{5}*(7)^{3}]$

According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base

Exponents: 5 and 3

Base: 7

Applying it we have:

$(7)^{5+3}$

$(7)^{8}$

Then,

We have a power of a power case, which involves multiplying the exponents:

$[(7)^{5}*(7)^{3}]^{-4}$

Exponents: 3 and -4

Then,

$(7)^{8*-4}$

Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,

So, we will have that:

$(7)^{-32}=\frac{1}{7^{32} }$

Have a nice day!

6 0

2 years ago

Read 2 more answers