Work Shown:
| x-7.9 | < 1.5
-1.5 < x-7.9 < 1.5
-1.5+7.9 < x-7.9+7.9 < 1.5+7.9
6.4 < x < 9.4
x is between 6.4 and 9.4, excluding both endpoints
The doctor observed over the years that 95% of the babies weighs greater than 6.4 pounds and less than 9.4 pounds.
What is inequality ?Inequality is a mathematical tool for comparing non-equal values.
According to the given question a doctor has found that, over the years, 95% of the babies he has delivered weighed |x-7.9|<1.5 pounds we have to find the range of weights corresponding to this inequality.
|x-7.9|<1.5
∴ x - 7.9 < 1.5
x < 1.5 + 7.9
x < 9.4.
OR
- ( x - 7.9 ) < 1.5
- x + 7.9 < 1.5
- x < 1.5 - 7.9
- x < - 6.4 ( think of moving the terms to other side to make it positive
x > 6.4. and inequality also changes )
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Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial.
x+5; x^3+7x^2+7x-15
Solve for p.
5p - 10 = + 4(1 + 3p)
A. P = - 13
B. all real numbers
C. No solution
D. P= -2
Answer:
p = -2
Step-by-step explanation:
5p - 10 = + 4(1 + 3p)
first get rid of the bracquetes:
5p - 10 = + 4*1 + 4*3p
5p - 10 = + 4 + 12p
subtract left and right of = sign by 5p
5p -5p - 10 = + 4 + 12p -5p
0 - 10 = + 4 + (12p -5p)
subtract left and right of = sign by 4
-10 -4 = 4 -4 + ( 7p )
re arrange
7p + 0 = -14
divide left and right of = sign by 7
7/7 p = -14/7
p = -2
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
A parking garage charges $4.50 for each hour you park. You have $18 in your pocket.
How many hours can you park?
Help!!!
Answer:
4 hours
Step-by-step explanation:
set up your equation
money to spend = charge per hour
18 = 4.50x
divide each side by 4.50
x = 4
4 hours
Answer:
the Answer is 4 Hour
Step-by-step explanation:
$18 Divided by 4.5 = 4 hours
PLEASE HELP QUICKLY!!!
W. If f(x)=4, find x.
X. If f(x)=-3, find x.
Answer:
can you flip the thing
Step-by-step explanation:
Answer:
W. x=-1
X. x=0
Step-by-step explanation:
Among the 112 participants of a roller skate race, 48 are boys and 64 are girls.
What is the ratio of boys to girls?
Answer:
The ratio of boys to girls is 3:4Step-by-step explanation:
This excercise, focuses on ratio problem, and it has to do with the representation of ratio, since we can represent ratio in different ways. let us represent this ratio in the normal/ usual format.
we will first reduce the given value and represent it in the ratio format
given that for roller skate race, 48 are boys and,
roller skate race, 64 are girls
we have the ratio as
=48/64 divide both denominator and numerator by 4
=12/16 further divide both denominator and numerator by 4
=3/4
The ratio is 3:4
You bought two tickets to the movies at a price of $7 and six tickets at a price of $5. This can be represented by the expression: 2 x 7 + 6 x 5. How much did you pay for the tickets?
Answer:
44
Step-by-step explanation:
2 x 7 + 6 x 5
Multiply first
14 + 30
Then add
44
Answer:
$44
Step-by-step explanation:
Multiplication (from left to right) comes before addition.
If a country's debt-to-GDP ratio is currently 50% and its debt is expected to grow from $40 trillion to $50 trillion in the next 5 years, what will the country's GDP have to be in 5 years to maintain the current debt-to-gdp ratio?
A. 100 trillion
B. 25 trillion
C. 80 trillion
D. 20 trillion
can somone plz help me with this
Answer: that’s complicated ;-;
Step-by-step explanation:
the midpoint of AB is M(1,3).if the coordinates of A are(-1,5),what are the coordinates of B
Answer:
(3,1)
Step-by-step explanation:
let B be (x,y)
m(1,3)=midpoint
A(-1,5)=(x1,y1)
B(x,y)=(x2,y2)
(1,3)= x1+x2/2 y1+y2/2
(1,3)= -1+x/2 5+y/2
so,
-1+x/2=1 5+y/2=3
-1+x=2 5+y=6
x=3 y=1
therefore the co ordinates of B(x,y) are (3,1)
The co-ordinate points of B is (3,1)
What is midpoint in a line ?A midpoint in a given line segment divides the line segment in two equal parts.
In the given question
AB is a line segment.
Point A has co-ordinates (-1,5) and midpoint M has co-ordinates (1,3).
Assuming point B has co-ordinates (x,y)
We know midpoint formula is give by
M of x = (x₁ + x₂)/2 and M of y = (y₁ + y₂)/2
∴ 1 = (-1 + x₂)/2
2 = - 1 +x₂
x₂ = 3
And
3 = ( 5 + y₂)/2
6 = 5 + y₂
y₂ = 1
So the co-ordinate points of B(x₂,y₂) = (3,1)
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A jet flies at a rate of 1.3 times 10 Superscript 6 feet per hour. Written in scientific notation, which is the best estimate of how many feet the jet will travel in 2.8 times 10 Superscript 3 hours? 3 times 10 Superscript 3 feet 3 times 10 Superscript 6 feet 3 times 10 Superscript 9 feet 3 times 10 Superscript 18 feet
Answer:
3 times 10 Superscript 9 feet
Step-by-step explanation:
your welccome
The feet the jet would fly in the given time is 3 x [tex]10^{9}[/tex].
What does multiplication mean?Multiplication is the process of determining the product of two or more numbers by following a set of mathematical principle.
The feet travelled can be determined by multiplying the rate per hour by the total time.
1.3 x 10^3 x 2.8 x 10^6 = 3 x 10^9
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A piece of cloth of length 3- m is
3
cut from a cloth of length 8
a
m.
What is the length of the remaining
cloth?
Answer:
5m
Please mark as brainliest answer!!!
The senior class purchased pizza to sell after school for $320. If they sell pizza by the slice they make $2 per slice. If they sell a
whole pizza it's $10. Each pizza has 8 slices. Let u represent the number of slices sold and let y represent the number of whole
pizzas sold. If the class has 40 pizzas to sell, what is the greatest number of pizzas they can sell if they want to make a profit of
at least $140.
Answer:30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
Why!
let x = number of slices sold
let y= number of pizzas sold
If you need to make a profit of at least 140 then you have to make what you paid + what you want = $320+$140 = $460
x= (40-y)8 = 320-8y : 40 is the number of pizza they bought &each pizza has 8 slices
2x + 10y ≥ 460
2 (320-8y) + 10≥460
Just solve it
180≥6y
30≥y
Therefore the greatest number of pizzas you can sell is 30 to make at least $140
what is the slope between (-4,0) and (0,2)
Answer:
m= 1 / 2
Step-by-step explanation:
Using a graph calculator
What are two conclusions you can draw from this statement? Support your answers. Point P is the midpoint of QR.
Write an equation for the nth term of the arithmetic sequence. Then find a50.
26, 22, 18, 14, ...
First, we need a few things.
The first term = 26
The common difference = 22 - 26 = -4
26 - 4(n - 1) is our equation.
Let's plug 50 into n to find a50
a50 = 26 - 4(50 - 1)
a50 = 26 - 4(49)
a50 = 26 - 196
a50 = -170
6. If n (E) = 40, n (A) = 22, n (ANB) = 8 and n ((AUB)') = 6, determine n(B)
Answer:
4
Step-by-step explanation:
First n(AUB)=n(E) - n((AUB)')
So n(AUB) = 40 - 6 = 34
Now all u hv to do is use the formulae,
n(AUB) = n(A) + n(B) - n(ANB)
So when u substitute above values,
34=22 + n(B) - 8
So,
n(B) = 4
Peter will rent a vehicle while his truck is being repaired. Company A charges $25 per day, plus a one-time fee of $60 for rental insurance. Company B charges $45 per day, and the insurance fee is included in the daily rate. The equation 25d + 60 = 45d can be used to find d, the number of days that Peter can rent a vehicle for the same cost from either company
Answer: 3 days
Step-by-step explanation:
25d + 60 = 45d
60 = 20d
3 = d
Check work:
25(3) + 60 = A
75 + 60 = A
135 = A
45(3) = B
135 = B
Jake ran 25 miles in 5 days. how many miles has jake ran per day ?
Answer:5
Step-by-step explanation:
25 miles divided by 5 days equal the 5 miles
5 times 5 =25
Determine whether each function is even, odd, or neither.
f(x) = Vx²9
DONE
g(x) = |x-31
DONE
f(x) = x
DONE
g(x) = x + x2
DONE
Answer:
First one: Even
Second one: Neither
Third One: Odd
Fourth One: Neither
Step-by-step explanation:
The functions are:
a) f(x) = x² + 9 is neither even nor odd.
b) g(x) = |x - 3| is neither even nor odd.
c) f(x) = x is an odd function.
d) g(x) = x + x² is neither even nor odd.
Here, we have,
To determine whether each function is even, odd, or neither, we examine their symmetry properties under reflection about the y-axis (for even functions) and the origin (for odd functions).
Let's analyze each function:
a) f(x) = x² + 9
This function is neither even nor odd because it does not satisfy the properties of symmetry under reflection about the y-axis or the origin.
b) g(x) = |x - 3|
This function is neither even nor odd because it does not satisfy the properties of symmetry under reflection about the y-axis or the origin.
c) f(x) = x
This function is odd because it satisfies the property of symmetry under reflection about the origin. In other words, f(-x) = -f(x) for all x.
d) g(x) = x + x²
This function is neither even nor odd because it does not satisfy the properties of symmetry under reflection about the y-axis or the origin.
In summary:
a) f(x) = x² + 9 is neither even nor odd.
b) g(x) = |x - 3| is neither even nor odd.
c) f(x) = x is an odd function.
d) g(x) = x + x² is neither even nor odd.
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The product of two-thirds and a number plus 6 is 12
Answer:
18
Step-by-step explanation:
Product in math terms means to multiply
When the term "a number" is used, you can just put a variable
"Is," tells you what the problem equals
With this information, we can create the equation:
(2/3x) + 6 = 12
Now that we have this equation, we can solve it
(2/3x) +6 = 12 We can subtract 6 from both sides.
-6 -6
2/3x = 12 We can divide the 2/3 from each side.
/2/3 /2/3
x = 18
Hope this helps!
Answer:
1
Step-by-step explanation:
2/3x + 12 = 6
2/3x = -6
x = -6 divided by 2/3
(6 divided 2) divided 3 =1
please make me a brainlist
f(1)=2, f(2)=6, f(3)= 10, f(4)= 14,f(5)=18
Answer:
Huh. More info please.
Step-by-step explanation:
What type of sequence is the following numbers? 2.5, 5, 10, ... SOMEONE PLEASE HELP ME
Answer:
its doubling
Step-by-step explanation:
2.5 times 2 = 5
5 times 2 = 10
¿Cuánto es 80% de 120 000?
Answer:
96,000
Step-by-step explanation:
.8 x 120,000 = 96,000
mueves el decimal sobre el porcentaje que deseas encontrar, luego lo multiplicas por el total. por ejemplo quiere 80% entonces mueves el decimal para que sea .8 o si quierias 55% entonces es .55 y el total es el 120,000 el numero que tienes. (:
Answer:96000
Step-by-step explanation:
120000/x=100/80
(120000/x)*x=(100/80)*x - we multiply both sides of the equation by x
120000=1.25*x - we divide both sides of the equation by (1.25) to get x
120000/1.25=x
96000=x
x=96000
Can somebody help me please
Answer:
y=-5/2x+(Any number)
Step-by-step explanation:
First, find the slope of that line
3+2=5
-5+7=2
5/2 is the slope
Perpendicular lines have the slope that is opposite and a fliped sign
This means that the slope should be -2/5
The equation of the line would be y=-5/2x+(Any number)
Find the value of X.
****ANYONE WHO ANSWERS THIS GETS BRAINLIEST QUESTION!!!!!****
Answer:
133
Step-by-step explanation:
133 - 18 + 65 = 180
Step by step on how to solve this problem
PLEEEEEEEEEASE HELP!!!
26.= 6000ft.
1.convert the yards to feet 100 yards= 300 ft
2. to find the area multiply the 20 ft by 300 ft
3. answer is 6000 ft
4 . if the answer needs to be in yards use a converter to convert the feet to yards
this hard asfk , can sb help ??
Answer:
option 3.
Step-by-step explanation:
48s + 4.75
HELPPPPP!!!! WILL GIVE BRAINLIEST!!!!!
Answer:
It looks like B is the correct answer
m<1 is 130 like the other
ANSWER QUICK PLEASE!
Evaluate a - c when a = 20.9 and c = -12.8
A:33.7
B:8.1
C:-33.7
D:-8.1
The required evaluation of a - c when a = 20.9 and c = 12.8 is 33.7. Option A is correct.
Given that,
To evaluate a - c when a = 20.9 and c = -12.8.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression,
= a - c
a = 20.9 and c = -12.8.
= 20.9 - (-12.8)
= 20.9 + 12.8
= 33.7
Thus, the required evaluation of a - c when a = 20.9 and c = 12.8 is 33.7. Option A is correct.
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