Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
=======================================================
Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
what is the midpoint of (4,5) and (9,17)
Answer:
Step-by-step explanation:
Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)
where (x1, y1) and (x2, y2) are our points
Let (x1, y1) = (4, 5)
and (x2, y2) = (9, 17)
x1 = 4
x2 = 9
y1 = 5
y2 = 17
Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)
Which equation represents a population of 250 animals that decreases at an annual rate of 21% ?
A. p = 250(1.21)
B. p = 250(1.79)
C. p= 250(0.79)
D. p=250(0.21)
Answer: Choice C. p = 250(0.79)^t
Work Shown:
p = a*b^t
p = a*(1+r)^t
p = 250*(1+(-0.21))^t
p = 250(0.79)^t
Note that r = -0.21 is negative to indicate we have exponential decay.
Compare -3 and -5 using <,>, Or =
Convert 99000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
0.22
Step-by-step explanation:
*7th grade math* ts confusing yall.
simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you
Answer:
[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]
Step-by-step explanation:
Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].
Find the 14th term of the geometric sequence 2,4,8
16348
The pattern is times 2
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384
help!!!!! asap!!! ill mark brainlist!
Answer:
9.013, 9.13, 9.1342, 9.2
Step-by-step explanation:
ANYONE KNOW HOW TO DO THIS IM BEGGING
Choose the correct simplification of (9x3y2)2.
Answer:
The Correct simplification is: (3².2x³y²)
Answer:
81x^6y^4
Step-by-step explanation:
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
area after 8 years is 2156km²
Step-by-step explanation:
Area of forest=4900 km²
decrease in area in 1 year=4900km² × 7%
decrease in area in 1 year= 343km²
decrease area in 8 years=343km² × 8
=2744km²
Remaining area= (4900-2744)km²
=2156km²
Note:If you have any question about it please ask.
**3. What is the y-intercept of the line that has a slope of
-4 and passes through the point (4, -6)?
Answer:
10
Step-by-step explanation:
We'll first write in point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is our point and m is our slope.
Then convert into slope-intercept form to make it easier to find the y-intercept.
y - (-6) = -4(x-4)
y + 6 = -4(x-4)
y + 6 = -4x + 16
y = -4x + 10
Now that we've put the equation in slope-intercept form, we see that our b-value
y = mx + b
b = 10, so our y-intercept is 10
What is six hundred five thousand, five hundred written in standard form
605,500 in the standard form is 6.055 × 10^5
Can you solve this? step by step ,if possible
Answer:
Ans:
Step-by-step explanation:
Let, the required number=n
Then, That number is actually n(n-1)
For e.g 8(8-1)=56 divided by 8=7
You Understood it.
Its midpoint please help
Answer:
[tex]thank \: you[/tex]
More help Pls (am also giving away points).
Answer:
Bot #11
Step-by-step explanation:
If you picked bot 12 in 5 second it produces 21 clicks which means if you add another 5 second it will be 10 second with 42 clicks. But, if you pick the bot with 17 clicks per 4 second, 8 seconds it will already be 34 clicks and 10 seconds half of 17 is 8/5 which in 10 seconds it produces 42.5 which shows the first bot produces more.
Please help asap thank you! I'll mark brainlyest
Answer:
3
Step-by-step explanation
add all of the numbers then divide by the amount the numbers you added
in this situation it is 1+2+3+4+5=15 divided by 5 equals 3. Hoped this helped. pls give brainliest
-11+x(-7) when x= 4
Please help ASAP
Step-by-step explanation:
-11+x(-7)
when x= 4, then
-11+x(-7)
-11+4(-7)
-11+(-28)
-11-28
-39
8x - 5y = 74
What is y and x?
Answer:
x = 11/2
y = -x/2+35/4
Step-by-step explanation:
- Is this a function? Why or why not?
Independent
Variable
Dependent
Variable
3
6
4
15
+8
12
14
agen 20
22
11
asking for
9514 1404 393
Answer:
a) yes (a function)
b) no (not a function)
Step-by-step explanation:
A functional relationship will have only one value of dependent variable for each value of independent variable. That is, the column on the left can only have one arrow tail per item.
__
a) is a function. Each independent variable maps to one dependent value
b) not a function. Independent variable values 7 and 30 map to two values each.
Help please !!!!!!!!!!
Answer:
Solving for x:
x= -y-5
Solving for y:
y= -x-5
Step-by-step explanation:
what does equal
(27/64)-2/3=
The circle has center O. Its radius is 9 ft, and the central angle a measures 50°. What is the area of the shaded region?
Give the exact answer in terms of it, and be sure to include the correct unit in your answer.
Answer:
35.34305555555
Step-by-step explanation:
You must calculate the percentage taken out of the circle by the shaded region. This would be about 13.8%. Then you take the overall area of the circle and multiply it by the percentage. This should give you your answer.
REMEMBER TO ROUND IF YOU ARE SUPPOSED TO, THERE IS NO INDICATION ON BRAINLY. WITHOUT ROUNDING YOU CAN GET THE ANSWER WRONG.
Solve this please, I can't understand the question, so the answer with the working would be appreciated.
The pyrite cube is, well, a cube, so it has a side length s such that the area of its base is
s ² = 5.76 cm²
which means
s = √(5.76 cm²) = 2.4 cm
Then its volume is
s ³ = 13.824 cm³
Pyrite is also known as "fool's gold" because it looks a lot like gold. So if gold has a unit price of €785/cm³, then a pyrite cube with volume 13.824 cm³ could be mistaken for a gold cube of the same volume, which would sell for a price of
(€785/cm³) × 13.824 cm³ = €10,851.80
There is a vent diagram - it asked 30 students if they have a cat or dog. 21 have a dog. 16 have a cat. 8 have a dog, but not a cat. How would I put this on a two circle Venn diagram?
dog intersect cat = 13
only cat= 3
6 - 0.75 x 1/10
^
fraction
Answer:
the answer of this question is 0.525
Answer:
[tex] \frac{3}{40} [/tex]
Step-by-step explanation:
[tex]0.75 \times \frac{1}{10} [/tex]
➡️ [tex] \frac{75}{100} = \frac{3}{40} [/tex]
➡️ [tex] \frac{3}{4} \times \frac{1}{10} [/tex]
➡️ [tex] = \frac{3 \times 1}{4 \times 10} = \frac{3}{4 \times 10} [/tex]
➡️ [tex] = \frac{3}{40} [/tex] ✅
I need help with this question.
Answer:
If I had guess, always equal since absolute numbers are always positive.
john has a mass of 54 kg ,60grams. how many grams is that
Answer:
54,060g
Step-by-step explanation:
1kg=1000,
therefore 54kg= (54x1000)
= 54000+60
= 54060g
Factor this polynomial completely.
x2 - 8x + 16
Answer:
The choose B. (x-4)(x-4)
I hope I helped you^_^
Answer:
B.(x-4)(x-4)
Step-by-step explanation:
x²-8x+16
(x²-4x)(-4x+16)
x(x-4)-4(x-4)
(x-4)(x-4)
Find X and Y. Please Help I will reward you with 95 points
Answer:
45° and 20°Step-by-step explanation:
2x is supplementary with the right angle and 3y is supplementary with 6y, as same side interior angles.
Therefore:
2x + 90 = 1802x = 90x = 45And
3y + 6y = 1809y = 180y = 20[tex]\\ \rm\longmapsto 2x+90=180[/tex]
[tex]\\ \rm\longmapsto 2x=180-90[/tex]
[tex]\\ \rm\longmapsto 2x=90[/tex]
[tex]\\ \rm\longmapsto x=90/2[/tex]
[tex]\\ \rm\longmapsto x=45°[/tex]
Now
[tex]\\ \rm\longmapsto 3y+6y=180[/tex]
[tex]\\ \rm\longmapsto 9y=180[/tex]
[tex]\\ \rm\longmapsto y=180/9[/tex]
[tex]\\ \rm\longmapsto y=20[/tex]