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Kruka [31]
2 years ago
8

oint) Solve the following inequality. Enter the answer in interval notation. 10x - 5 < -10(8x - 2)+3 Answer: Note: If the ans

wer includes more than one interval, write the intervals separated by the "union" symbol, U. If needed, enter \infty as infinity and -\infty as -infinity.
Mathematics
1 answer:
nevsk [136]2 years ago
6 0
10x - 5 < - 10(8x - 2) + 3 \\ 10x < - 80x + 20 + 8 \\ 90x < 28 \\ x < \frac{14} {45}\\x \in (-\infty,\frac{14}{45} )
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Which function has a range of<br><br> f(x)≥7
amid [387]

Answer:

While it's true that quadratic functions have no domain restrictions, the range is restricted because x2 ≥ 0. The correct answer is: The domain is all real numbers and the range is all real numbers f(x) such that f(x) ≥ 7.

Step-by-step explanation:

3 0
3 years ago
Determine the intercepts of the line that correspond to the following table of values.
Dahasolnce [82]
We know that
to find the equation of a line i need two points

let
point A-----> (-21,10)
point B-----> (-28,14)

step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=(14-10)/(-28+21)----> m=-4/7

step 2
find the equation of a line with
m=-4/7  and the point A (-21,10)
y-y1=m*(x-x1)------> y-10=(-4/7)*(x+21)---> y=(-4/7)x-12+10
y=(-4/7)x-2

step 3
find x intercept
for y=0
y=(-4/7)x-2------> 0=(-4/7)x-2-----> 4/7x=-2----> x=-14/4----> x=-3.5

the x intercept is (-3.5,0)

step 4
find the y intercept
for x=0
y=(-4/7)x-2--------> y=-2
the y intercept is (0,-2)

the answers are
the x intercept is (-3.5,0)
the y intercept is (0,-2)

see the attached figure


7 0
2 years ago
Quadrilateral ABCD is shown. If m angles?
artcher [175]

Answer: m∠BCE = 63°

              m∠BAD = 76°

Step-by-step explanation:

Problem 1:

Given

m∠BEC = 90°

m∠EBC = 27°

Total = 117°

Solution:

Subtract 180° - 117° = m∠BCE = 63°

Problem 2:

Given

m∠ADE = 52°

m∠ABE = 52°

Total = 104°

Solution:

Subtract 180° - 104° = m∠BAD = 76°

6 0
3 years ago
Russia has recently started a push for stronger smoking regulations much like those in western countries concerning cigarette ad
Blababa [14]

Answer:

a) 0.46

b) (2341.39, 3230.61)

c) For those Russians who do smoke, estimate the number of cigarettes smoked per day.= 23

Step-by-step explanation:

check below for more detailed solution

7 0
3 years ago
Lindsey is using a map to find the distance between her
Elena L [17]
Lindsey lives 3.75 miles away from Juanita.
4 0
3 years ago
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