Answer:
D
Step-by-step explanation:
When the denominator is equal to 0, the function doesn't exist. So factor the bottom, luckily its already partially factored.
(x^2 + 8x + 12) = (x+2)(x+6)
So now the denominator is (x+2)(x+6)(x-3)
The function doesn't exist when x = -2, -6, 3
Now we know there are 3 total discontinuities.
A and B can be eliminated
Since there is an (x+2) on the top and the bottom, they don't affect the shape of the function, but only causes a removable discontinuity when x = -2.
However, (x+6) and (x-3) are only on the bottom, so they DO change the shape, so they are non-removable
The answer therefore is 1 removable and 2 non-removable; D
Answer:
We have 1 removable discontinuity and 2 non-removable discontinuities
Step-by-step explanation:
Note that
[tex]x^2+8x+12 = (x+2)(x+6)[/tex]
Initially, we have discontinuities at
[tex]x = -2; x = -6; x = 3[/tex]
Considering
[tex]f(x)=\dfrac{(x+2)(x-6)}{(x^2+8x+12)(x-3)}[/tex]
But
[tex]\dfrac{(x+2)(x-6)}{(x^2+8x+12)(x-3)}= \dfrac{(x+2)(x-6)}{ (x+2)(x+6)(x-3)}= \dfrac{(x-6)}{ (x+6)(x-3)}[/tex]
We have now two discontinuities at
[tex]x = -6; x = 3[/tex]
a gift box is shaped of a right rectangle prism
Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?
O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)
Answer:
C, 10h + 0.15s
Step-by-step explanation:
he earns 10 dollars per hour so 10h
he earns 15% or .15 per sale so .15s
add them together to get 10h + 0.15s
According to the histogram, how many students live between 3 and 3.9 miles
from school?
Distance from School
40
35
30
25
20
Frequency
10
0
0-0.9
3-3.9
4-4.9
1-1.9 2-2.9
Distance in miles
A. 20
B. 25
Ο Ο Ο Ο
C. 93
O D. 30
Answer:
It's 20 i just did it
Step-by-step explanation:
pls help me thanks :)
Which is the number that gives 240 when added to its own square?
Answer:
15
15 when added to it's square gives 240
On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?
Answer:
15 cm on the map is equal to 25 miles.
Step-by-step explanation:
Given that,
On a map, 9 cm represents 15 miles.
The distance between two cities is 15 cm. We need to find the distance in miles.
9 cm = 15 miles
[tex]1\ cm=\dfrac{15}{9}\ \miles[/tex]
So, 15 cm is equal to,
[tex]15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles[/tex]
So, 15 cm on the map is equal to 25 miles.
I DONT KNOW THIS CAUSE ITS TOO HARD ( if brainly says in am in collage I AM NOT i am in Middle school)
Answer:
217.5
Step-by-step explanation:
Answer:
The answer is 2700 i think
Step-by-step explanation:
p3- 4+3 p2, take away 5p2-3p 3 tp-6
2x - 2 <4 solve for x
Answer:
X < 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
2x - 2 < 4
+2 +2
2x = 6
/2 /2
x = 3
21. Tom buys a DVD player on 12 monthly payments. The cash price is $600. He pays
* 10% deposit and the store charges 9% interest.
(a) How much is each payment?
(b) Total amount Tom pays for the DVD player?
Answer:
Each monthly payment is $ 49.05, and in total Tom paid $ 648.60.
Step-by-step explanation:
Given that Tom buys a DVD player on 12 monthly payments, whose cash price is $ 600, and he pays a 10% deposit and the store charges 9% interest, to determine how much is each payment and the total amount Tom pays for the DVD player the following calculations must be performed:
600 - 600 x 0.1 = 540
540 x 1.09 = 588.6
588.6 / 12 = 49.05
Thus, each monthly payment is $ 49.05, and in total Tom paid $ 648.60.
Which of the following graphs are identical?
DONE.
Answer:
I think it's the 1st and 3rd
Step-by-step explanation:
with square root and squaring, being positive/negative doesn't effect the answer. you can use a calculator if u want.
square root of 3 = square root of -3
square root of X = square root of -X
Write an equation to represent the following statement.
you can only use ( -,+,*,x/y)
Answer:
well I think it's 22-14=x(represent J for X)
22-14=x
x=8
therefore 8is14less than 22what is mXY based on the figure shown
Answer: 120 degrees
78 + 42 = 120
What is the contrapositive of the following conditional? If a number is divisible by 10, then it is divisible by 5.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: No because that is not always true.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
1. Solve MMXXVII -MCMXCII
A.LV
B. XLV
C. XXXV
D. XXV
E. XV
Answer:
the answer is C. XXXV
Step-by-step explanation:
MMXXVII -MCMXCII= XXXV
Un hombre tiene 5 manzanas, 3 peras y 6 fresas, su vecina tiene el doble de manzanas que él y el cuádruple de fresas, la hija del vecino tiene 5 duraznos y el doble de peras que el hombre, ¿Cuántas manzanas, peras, duraznos y fresas tienen entre los tres?
Answer:
Entre las tres tienen 15 manzanas 9 peras 5 melocotones 30 fresas.
Step-by-step explanation:
pls help now. Find X (picture below)
Answer:
20
Step-by-step explanation:
18000/30=600
600/30=20
Help plz:)))I’ll mark u Brainliest
Answer:
If the bottom of the red triangle is equal to 4 then its
40 mi
if the mi2 in the corner means multiply mi by 2 then 80
If the mi2 in the corner is an exponent then 160
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
0
1
more than one
NEED DIS ANSWER NOW PLZZZ
Answer: A) 0 triangles
============================================================
Explanation:
Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2
For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.
I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.
As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.
In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm
A. (1 x 3 x 4) + (2 X 5 X 3)
B. (1 x 3) + (4 X 2) + (5 x 3)
C. (1X3 X 2) + (6 x 3 x 2)
D. 3 x (1 + 4) + 2 x (5 + 3)
E. (3 x 4) + 1 x (2 x 5) + 3
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answer:
[tex]x \leqslant - \frac{1}{2} [/tex]
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
Identify the statements below as sometimes true, always true, or never true.
a. –4<59
b. X< 1
c. -5> -2
d. 3x + 5 = 2
e. 61 = 61
f. -6 < -6
Answer:
Sometimes true: b. d.
Always true: a. e.
Never True: c. f.
Step-by-step explanation:
b. and d. depend on what value you put in, so that is sometimes true. Now a. and e. are always true because it is correct. C. and f. are never true because the equation does not make any sense.
solve this question 5/8÷15/16=?
Answer:
Hellou our answer is 2/3
Step-by-step explanation:
5/8 ÷ 15/16 = 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Determine the slope of the line passing through (-8,-5) and (-10,-9)
Answer:
2
Step-by-step explanation:
y1-y2/x1-x2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the measure of
Answer:
58 degrees
Step-by-step explanation:
90-32=58
This is hard for me but easy for you so what’s the answer ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
How many terms are in this expression? 5+4⋅6
Answer:
The answer is 2 there are 2 terms
help me please :(*********
Answer:
These will be equal, so the answer is 7
Step-by-step explanation:
Set 2x+42 and 9x-7 equal to each other, then solve.
2x+42=9x-7
-2x +7 -2x +7
49=7x
x=7
Katie needs 3/4 cup of sugar to make cookies. She only has 1/3 cup. How much more sugar does Katie need?
Answer:
[tex]\frac{5}{12}[/tex] cups
Step-by-step explanation:
This question is asking for the difference between the two values so subtraction is necessary
[tex]\frac{3}{4} -\frac{1}{3}[/tex]
Multiply the top and bottom of the first fraction by 3 and the second one by 4[tex]\frac{3*3}{4*3} -\frac{1*4}{3*4} = \frac{9}{12} -\frac{4}{12}[/tex]
Now just substract
9 - 4 = 5 ==> [tex]\frac{9}{12} -\frac{4}{12} = \frac{5}{12}[/tex]