when x = 3,
y = -1
F(x) = 3(3) - 10 = 9 - 10 = -1
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found this online, hope it helps !!
Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.
Given:
The compound inequality is
[tex]9<3x+6\leq 15[/tex]
To find:
The solution for the given compound inequality in interval notation.
Solution:
We have,
[tex]9<3x+6\leq 15[/tex]
Subtracting 6 from each side, we get
[tex]9-6<3x+6-6\leq 15-6[/tex]
[tex]3<3x\leq 9[/tex]
Divide each side by 3.
[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]
[tex]1<x\leq 3[/tex]
Here, 1 is not included in the solution set and 3 is included in the solution set.
Therefore, the solution in interval notation is (1,3].
A ramp is propped against the back of a truck. There is a 30 degree
angle between the ramp and the horizontal pavement
If the distance along the ground from the end of the ramp to the point
on the ground below the back of the truck is 9 feet, how long is the
ramp, in feet? Round your answer to the nearest whole number,
Step-by-step explanation:
hope it help:)
/////////////////////
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The length of the ramp is,
Cos(θ) = Base/Hypotenuse
Cos(30°) = 9ft /The length of the ramp
The length of the ramp = 9ft/Cos(30°)
Length of the ramp = 10.3923 ft ≈ 10ft
Hence, the length of the ramp is equal to 10ft.
Learn more about Trigonometric functions:
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DUE SOON!!
Explain the need for businesses to use forecasting models and evaluate the use of Time Series Analysis as one of these models
Answer:
They can be used to develop alternate models with different factors.
Step-by-step explanation:
Why do some people sleep with hair rollers
Answer:
to have their hair ready and curled the next day. and to not have it heated or chemical damaged bc it ruins ur hair :)
A high school soccer team has 3 freshman, 4 shohpmores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?
Answer:
about 21? I think
Step-by-step explanation:
find the sum of the fractions below 2 1 over 2 + 2 1 over 3
Answer:
[tex] \frac{105}{6} [/tex]
Step-by-step explanation:
[tex] \frac{21}{2} + \frac{21}{3} [/tex]
lowest common multiple of 2 and 3 is 6
21×3 = 63
21×2= 42
they are now going to have the same denominator of 6
[tex] \frac{63}{6} + \frac{42}{6} [/tex]
now u are just gonna add the neumerators and keep the denominator
[tex] \frac{105}{6} [/tex]
A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?
A. 8 mm or less
B. between 9 mm and 53 mm
C. 54 mm or more
D. not possible
Answer: between 9 mm and 53
Step-by-step explanation:
U do 23 - 31 you get 8 then you do 23 + 31
Marcus construye 2,744 cometas para un festival de cometas de verano de 14 dias.planea regalar aproximadamente el mismo numero de cometas cada dia.regala 492 cometas los primelos dos dias¿siguio marcus su plan? Usa la estimacion para explicarlo.
Sydney is 8 years less than twice Steven’s age what is the algebraic expression.
Answer:
2s - 8
Step-by-step explanation:
sydney is 8 years LESS than TWICE stevens age.
let’s turn stevens age into a variable... s. the variable will be s. so sydney’s age is 8 years less than TWICE stevens age. so lets start with the twice stevens age..
since there is an easy way to make that part of the equation, let’s just put it as 2s. then we have to take sydney’s age as 8 years less than twice stevens. so that would be - 8. so if you add those 2 parts together, you get the equation 2s - 8.
So overall the proper equation will be 2s - 8.
The measure of an angle is 38.1 degrees. What is the measure of its supplementary angle
Answer:
141.9°
Step-by-step explanation:
please help me asap
Answer:
2.yes 3.no
Step-by-step explanation:
Given: In Triangle ABC, DB congruent FC, FG⊥BC, DE⊥BC, and AB congruent AC. Prove: DE congruent FG.
Explain how you could the surface area and volume of the water tower
Which sentence from the text best supports the narrator’s view of Paul as a giant of a man?
A.
“Feeding Bunyan’s crews of ravenous loggers was a big job.”
B.
“Paul dealt with the challenge by digging down to find the tops of the tall pine trees and lowering his loggers to chop logs.”
C.
“Driving logs upstream is impossible, but an impossible job never stopped Paul.”
D.
“To his surprise, when he tried to move the logs, he discovered the lake had no outlet to the river.”
Answer:
The answer is B
Step-by-step explanation:
I did the test and got it right
If 18% of your Biology class received an A, how many students were in your Biology class if 9 students earned an A for the semester?
Answer:
50 students
Step-by-step explanation:
hope this helps, have a great day!
Evaluate the expression x−2×8, if x = 27.8
Answer:
11.8
Step-by-step explanation:
the answer is above hope it helps. mark me as brainlist plz
Which system of equations could be graphed to solve the equation below
Express the terms of the following sequence by giving an explicit formula.
9, 12 15, 18, 21
A. u(n) = n + 3, where n = 1, 2, 3, 4, . . .
B. u(n) = 6 + 3n, where n = 1, 2, 3, 4, . . .
C. u(n) = 3 + n, where n = 1, 2, 3, 4 . . .
D. u(n) = 3n, where n = 1, 2, 3, 4, . . .
Answer:
B.
Step-by-step explanation:
The common difference is + 3 so we have an arithmetic sequence.
u(n) = a1 + d(n - 1)
= 9 + 3(n - 1)
= 9 + 3n - 3
= 6 + 3n.
Harrison pays $22.36 each month for his phone bill.
He also pays an extra $4.73 each time he makes a
long-distance call. Harrison paid a total of $64.93
for his phone bill last month. Write an equation to
find how many long-distance calls he made.
22.36 + 4.73c = 64.93
Solve the equation:
C
= [?]
Answer:
9
Step-by-step explanation:
64.93-22.36=42.57
42.57/4.73=9
Warren was drawing a shape on the grid below. He started at (3,0) and drew a line to (3,5), then to (5,3), then to (7,5) and finally a line to (7,0). What was made after all the points were connected?
Answer:
M
Step-by-step explanation:
M
A farmer wishes to determine which of two brands of baby pig pellets, Kent or Moormans, produces better weight gains. Two of his sows each give birth to litters of 10 pigs on the same day, so he decides to give the baby pigs in litter A only Kent pellets, while the pigs in litter B will get only Moormans pellets. After four weeks, the average weight gain for pigs in litter A is greater than the average weight gain for pigs in litter B. The feed they get is not the only factor affecting the rate at which pigs gain weight. Genetic differences also affect weight gain. It is likely that the pigs in litter A are genetically different from the pigs in litter B since the two litters have different mothers.
What experimental design technique could the farmer use to take into account the genetic differences?
a. Placebo
b. Blocking
c. Probability sampling
d. Double blinding
e. Observational study
Answer:
Option d (Double blinding) would be the appropriate choice.
Explanation:
A double-blind research paper would be one in which although neither group members nor even the researchers understand whose been receiving a specific intervention. This methodology has been used to protect participants throughout the research findings, which are especially beneficial throughout the prevention of bias reducing the power of personality traits or perhaps the placebo impacts.Certain other preferences are not related to just the illustration in question. So the above alternative seems to be the correct one.
what is 702/0.06
pls help
Answer:
11700
Step-by-step explanation:
I'm not sure if that is a fraction or if you're trying to divide it. That is the answer if you're trying to divide. Hope it helps.
D
Angles that have the same
_________________
are called
__________________
angles.
Answer:
Can’t trust anyone these days fake is becoming the new trend.
You can rent a car for $45 per day plus $0.75 per mile. (This includes taxes.) If you have $120 to spend, find the number of miles you can drive.
20 POINTS FOR CORRECT HURRY PLS
The figure below shows two triangles on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1.
What set of transformations is performed on triangle ABC to form triangle A′B′C′?
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Answer:
Well, I think it’s the second one. (not exactly sure though)
Step-by-step explanation
Hope I helped. Pls mark brainliest
Using related equations, what is the solution of this equation ? List the related equations
7w = 92
Don’t use me for points
Step-by-step explanation:
Divide both sides of the equation by the same term
7w = 92
[tex]\frac{7w}{7} =\frac{97}{7}[/tex]
Simplify
Cancel terms that are in both the numerator and denominator
[tex]w =\frac{92}{7}[/tex]
Answer:
[tex]w= \frac{92}{7}[/tex]
Complete the statement. If a transversal intersects two parallel lines, then ___.
a. Same-side interior angles are complementary,
b. alternate interior angles are congruent
c. Corresponding angles are supplementary
d. none of these
Answer:
alternate interior angles are always congruent.
Step-by-step explanation:
- Consecutive [Same-side] exterior angles are always supplementary.
- Consecutive [Same-side] interior angles are always supplementary.
- Corresponding angles are always congruent.
I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation:
If a transversal intersects two parallel lines, then alternate interior angles are congruent. If a transversal intersects two parallel lines, then same-side interior angles are supplementary. ... If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.
Write the following ratio as a reduced fraction. Simplify your answer when possible: 22 to 42
Answer:
11 / 21
Step-by-step explanation:
The ratio 22 to 42 can be written as: 22 : 42, and in fraction form as:
22 / 42 in this fraction we can cancel a common factor of 2 from numerator and denominator, leaving us with the reduced fraction:
2 * 11 / (2 *21) = 11 / 21
5 is 10% of what number
Answer:
50
Step-by-step explanation:
Answer:
hello! :) have a good day!
5 is 10% of 50
If you are using a calculator, simply enter 5×100÷10, which will give you the answer.