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Alex17521 [72]
3 years ago
14

Part A: Explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points)

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
PART A : If you start solving it, it will looks like this: 4*6  - 5 ≤ 19 -> 19<span>≤19 which is actually true because 19 is = to 19. 
But 19 < 19 because they're actually equal. 
<span>2 :
</span>PART A : 25 x = 930.75 
The number of ticker -> 25 The price of a ticket -> x ( as we don't know and it's what we are asked to find. 
930.75 is the total amount of money raised. 
PART B: 25 x = 930.75 
25 x : 25 = 930.75 : 25 
x= 37.23 £ 
To find out if this is correct, we replace ''x'' in the equation : 25 * 37.23 = 930.75 -> 930.75 = 930.75 
3. PART A  : x </span><span>≥ 18 
</span>     PART B: You create the number line, put the number 18 on it and draw a circle which must be filled. The arrow's direction must be right, to + infinite ( I don't know if this is the way it must be described but English is not my native language) 


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Yvette is starting a jewelry business. She spends $120 on supplies and makes 18 necklaces. She wants to earn a profit equal to 3
kiruha [24]

Yvette wants to earn a profit of $360, then. That means she has to make a total of $480. 480 divided by 18 is 26 and 2/3. That basically rounds up to $26.67.


480 = 18x


360 = 18x - 120


120(3) = 18x - 120


(I'm not that good at this, so don't take my word for it)

4 0
3 years ago
The number of cats increased from 1650650 to 2250015. What is the percentage change to the nearest tenth?
Luden [163]
First you have to subtract 2250015 by 1650650 and the answer is 599365

The you add 2250015 to 1650650 and the answer is 3900665 so you divide

599365 by 3900665 and multiply by 100 and the final result is 517.325002

And to the nearest ten is 517.3 because 2 is below five to round up

Final answer— 517.3

Hope this helps
7 0
3 years ago
Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

f(x)=3x^3-13x^2-3x+45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


5 0
2 years ago
Read 2 more answers
If cose<br> =-2/3<br> -, which of the following are possible for the same value of e?
Lubov Fominskaja [6]

Answer:

B?

Step-by-step explanation:

3 0
2 years ago
Four times the sum of 8 and some number is 4. What is the number?
Lunna [17]

Answer:

\Huge \boxed{\mathrm{-7}}

\rule[225]{225}{2}

Step-by-step explanation:

Let the number be x.

4(x+8)=4

Dividing both sides by 4,

x+8=1

Subtracting 8 from both sides,

x=-7

The number is -7.

\rule[225]{225}{2}

3 0
3 years ago
Read 2 more answers
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