Answers
Answer:
D
Step-by-step explanation:
the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.
otherwise, we would have a "<=" ("smaller or equal") symbol.
let's start for the first limit to calculate without the absolute value :
-2 + (x - 3) < 7
-5 + x < 7
x < 12
the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :
-1×(-2 + (x - 3)) < 7
2 - (x - 3) < 7
2 - x + 3 < 7
-x + 5 < 7
-x < 2
x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).
Related Questions
Question 11
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers.
Answers
Answer:
30
Step-by-step explanation:
The mean of 5 numbers is 16 => the sum is 16 x 5 = 80
The mean of 7 numbers is 20 => the sum is 20 x 7 = 140
So, the sum of the 2 extra numbers is 140 - 80 = 60
And the mean will be 60 : 2 = 30
Hope it helps :D
Use the graph to write a linear function that relates y to x
Answers
oranges sell for $0.38 per pound. How much will 192 oranges cost?
Answers
$0.38×192=$72.96
So the answer is $72.96
15. The ticket price for a concert in a historic music hall cost $11.20 for the concert with a program and a
hall restoration fee of d dollars. The price for 11 tickets comes to $128.15. What equation could
represent this situation? What is the cost of the hall restoration fee?
Answers
The volume of a rectangular prism with base area B and height h is Bh. Jayla bought a rabbit cage shaped like a rectangular prism. The area of its base is 12 square feet and it is 2.25 feet high.
Answers
Answer:
5.3 repeating
Step-by-step explanation:
Which figure shows the correct dimensions of a 310 scale drawing of the given figure?
Answers
Answer: the scale copy of the given figure is the fourth answer
Step-by-step explanation:
The regular price of a shirt is $24.99. This week, the shirt is marked 10%
off. About how much money would you save if you bought the shirt this
week?
Answers
Answer:
You would pay $22.49
You would save $2.50
Step-by-step explanation:
Answer:
22.49 dollars
Step-by-step explanation:
….
The temperature is 20 degrees below zero. What numerical value represents the temperature?
Answers
Answer:
-20
Step-by-step explanation:
The product of 5 and the sum of x+6
Answers
5*1=5
-1+6=5
(SHOW UR WORK) 98.73 ÷ 15 = ?
Answers
Answer:
3291÷500 or 6.582
Step-by-step explanation:
98.73 divide by 15 = 6.582
A side of the triangle below has been extended to form an exterior angle of 79°. Find the value of x. ??????
- 100 point question
Answers
Answer:
x = 101 °
Step-by-step explanation:
Here give ∠ ACD exterior angles 79 °
[Angle Addition Postulate and definition of straight angle: ]
∠ACD + ∠ACB = 180
79 + n = 180
n =180-79=101
n = 101
[RevyBreeze]
Apply supplementary angle theorem
They have sum 180°[tex]\\ \rm\rightarrowtail x+79=180[/tex]
[tex]\\ \rm\rightarrowtail x=180-79[/tex]
[tex]\\ \rm\rightarrowtail x=101[/tex]
The value of y is
one-fourth
the value of x. Why is it addiction
Answers
Answer:
Ummm because its not a negative sign in front of it
Step-by-step explanation:
i d k t b h
Let f(x)=−2x+3f(x)=-2x+3. Find each of the following:
f(a)=f(a)=
2f(a)=2f(a)=
f(2a)=f(2a)=
f(a+2)=f(a+2)=
f(a)+f(2)=f(a)+f(2)=
Answers
Answer:
1. f(a) = -2a + 3
2. 2f(a) = -4a + 6
3. f(2a) = -4a + 3
4. f(a+2) = -2a - 1
5. f(a) + f(2) = -2a + 2
Step-by-step explanation:
for each one, just plug whatever is inside the parentheses inside the equation as x. For example, f(a) = -2(a) + 3. The a replaces all the x's
hong has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving? HELP ASAP PLSSS!!
Answers
Answer:
he has been saving for 98 weeks
Step-by-step explanation:
well 90 + 48 / 6 = 98
the question is confusing....
Answers
Answer:
[tex]c=35r+10[/tex]
Step-by-step explanation:
We need to create a linear equation in the form: c = mr + b
(where m is the slope and b is the y-intercept)
Choose two ordered pairs from the table: (2, 80) and (4, 150)
Let [tex](r_1,c_1)[/tex] = (2, 80)
Let [tex](r_2,c_2)[/tex] = (4, 150)
Calculate the rate of change (slope of linear equation) by dividing the change in c by the change in r:
[tex]\textsf{slope} \ m=\dfrac{c_2-c_1}{r_2-r_1}=\dfrac{150-80}{4-2}=35[/tex]
Now use point-slope form of linear equation to create final equation:
[tex]c-c_1=m(r-r_1)[/tex]
[tex]\implies c-80=35(r-2)[/tex]
[tex]\implies c=35r+10[/tex]
Translate 1 unit right and 2 units up
Answers
Answer:
Step-by-step explanation:
It basically means move from the spot you are at 1 step/square right. Moving up means to go two steps/squares up/forwards.
Which expression shows
another way to write (4^3)^3?
Answers
I REALLY NEED HELP PLEASE!!
Answers
Answer:
4588 [in²].
Step-by-step explanation:
1) the given octagon can be imagined as 8 triangles (see the attachment). In order to calculate the required area of the octagon, it is enough to calculate the area of one triangle then increase it 8 times:
2) area of one triangle is:
37*31/2 [in²].
3) the required area of the octagon is:
31*37*8/2=31*37*4=4588 [in²].
What is the value of the indicated angle
127
37
180
53
Answers
Answer:
53
Step-by-step explanation:
It is either an alternate angle or an opposite angle of the 53 shown.
We know that angles on a straight line add up to 180, so:
53+x=180
x=180-53
x=127
We know that the indicated angle plus x would give 180, so:
?+x=180
?+127=180
?=180-127
?=53
Help! Pls answer this question.PANICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
i think x=36
Step-by-step explanation:
3x + 2x = 5x = 180
x = 180÷5 =36
Check the picture below.
What is the volume of a square
pyramid with the base length of
24in and a height of 18in?
Answers
Answer:
V=3456
Step-by-step explanation:
V=[tex]a^{2}[/tex][tex]\frac{h}{3\\}[/tex]
What is the measure of angle C in the following pentagon?
Answers
Answer:
122
Step-by-step explanation:
The sum of interior angles of a pentagon is 540. The angles we have are 105, 86, 137, and 90. This means that if you subtract those from 540, you get 122.
There are 20 people in a room. What percent of the room is filled if it has a capacity of 160
people?
Answers
20 ÷ 160 =0.125 or 12.5%
Which is NOT an improper fraction that is equal to 8 ????
Answers
Answer:
There are many improper fraction equal to eight, they include: 8/1, 16/2, 24/3, 32/4, 40/5, 48/6, 56/7, 64/8, 72/9 etc.When a multiple of eight is divided by the other factor with with when multiplied to eight gives the multiple, the result will be eight
can someone help me with this please
Answers
Answer:
A.1: ∠BAC ≅ ∠BDC ≅ ∠EDF, ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF
A.2: ∠1 ≅ ∠4, ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6
A.3: ∠2 ≅ ∠3
B.1: ∠ACD ≅ ∠CAB, ∠CDA ≅ ∠ABC, ∠DAC ≅ ∠BCA
B.2: ∠1 ≅ ∠3 ≅ ∠5, ∠2 ≅ ∠4 ≅ ∠6
see "additional comment" regarding listing pairs
Step-by-step explanation:
There are a number of ways angles can be identified as congruent. In each case, the converse of the proposition is also true.
opposite angles of a parallelogram are congruentcorresponding angles where a transversal crosses parallel lines are congruentalternate interior angles where a transversal crosses parallel lines are congruentvertical angles are congruentany two angles with the same measure are congruentIn these exercises, pairs of angles need to be examined to see which of these relations may apply.
__
ALeft
ABCD is a parallelogram, so the congruent angles are opposite angles and any that are vertical or corresponding:
∠BAC ≅ ∠BDC ≅ ∠EDF ≅ 110° (3 pairs)
∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF ≅ 70° (6 pairs)
Center
∠1 ≅ ∠4 ≅ 66° (1 pair) . . . . vertical angles
∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6 ≅ 57° (6 pairs) . . . . marked with the same measure, and their vertical angles
Right
Assuming that lines appearing to go in the same direction actually do go in the same direction, the only pair of congruent angles in the figure is ...
∠2 ≅ ∠3
__
BLeft
Corresponding angles in congruent triangles are congruent. Here, the congruent triangles are ΔACD ≅ ΔCAB. So, the pairs of congruent angles are ...
∠ACD ≅ ∠CAB (30°)
∠CDA ≅ ∠ABC (90°)
∠DAC ≅ ∠BCA (60°)
Right
The corresponding angles and any vertical angles are congruent. This means all the odd-numbered angles in the figure are congruent, and all the even-numbered angles in the figure are congruent. The marked 72° angles show the "horizontal" segments are parallel by the converse of the corresponding angles theorem.
∠1 ≅ ∠3 ≅ ∠5 (72°) (3 pairs)
∠2 ≅ ∠4 ≅ ∠6 (108°) (3 pairs)
_____
Additional comment
The question asks you to list pairs of congruent angles. When 3 things are congruent, they can be arranged in 3 pairs:
a ≅ b ≅ c ⇒ (a≅b), (a≅c), (b≅c)
Similarly, when 4 things are congruent, they can be arranged in 6 pairs:
a ≅ b ≅ c ≅ d ⇒ (a≅b), (a≅c), (a≅d), (b≅c), (b≅d), (c≅d)
In the above, we have elected not to list all of the pairs, but to list the set of congruences from which pairs can be chosen.
high points pls help
kayla wants to find the width, AB, of a river. she walks along the edge of the river 150 ft and marks point c. then she walks 32 ft further and marks point D. she turns 90° and walks until her location, point A, and point C are collinear. she marks point E at this location, as show.
Answers
Answer:
32 x 150 = A = 2 x 2 = c + b = 254
Step-by-step explanation:
Consider AABC with vertices A B C (3,1), (1, 2),and (4, 2) as shown in the accompanying diagram.
Is the triangle a right triangle? Justfify.
Answers
Answer:
yes; AB ⊥ BC
Step-by-step explanation:
If the triangle is to be a right triangle, the slopes of two sides must be opposite reciprocals. The slope is the ratio of rise to run.
mAB = rise/run = -3/4
mBC = rise/run = 4/3
These slopes, -3/4 and 4/3 are opposite reciprocals (their product is -1), so ...
AB ⊥ BC . . . the triangle is a right triangle
A ROUND-TRIP bus ticket to NYC costs $10.45. A pack of ten single-trip tickets for the same trip is $39.40. This pack is good for 20 days, counting the day purchased.
1. If Singh purchases a ten-trip ticket pack on Thursday, July 7, by what day must he use this last trip?
2. How much does he save by buying the ten-trip packet?
Answers
2. A 10 pack of single trip tickets is worth 5 round trip tickets. Buying 5 round trip tickets instead would cost $52.25 instead of $39.40, so Singh would save $12.85
Help me with this please
Answers
Answer:
x = 2 and y = 3
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
3x + 2(0) = 6
3x + 0 = 6
3x = 6 ( divide both sides by 3 )
x = 2 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
3(0) + 2y = 6
0 + 2y = 6
2y = 6 ( divide both sides by 2 )
y = 3 ← y- intercept
DeShawn is 38 years old and is married with 3 children, ages 2, 4, and 6. He makes $45,000 a year and is planning to retire when he turns 60. From the following three options, DeShawn decides to buy the $900,000 20 year term policy. Given DeShawn’s scenario, assess whether DeShawn made a wise decision. Annual life insurance premium (per 1,000 dollars of face value) for age 38. A 20-year term for male is 15 dollars and 38 cents, and for female is 14 dollars and 88 cents. Whole life: for male is 22 dollars and 40 cents, female is 20 dollars and 4 cents. 20-year endowment: male is 30 dollars and 5 cents and female is 29 dollars and 63 cents. A. DeShawn would be safer buying whole life policy. B. DeShawn would have more money in the long run if he invested in the 20-year endowment. C. DeShawn’s current policy will cover his family for an adequate period of time at his current salary. D. DeShawn’s current policy has too high of a face value and does not cover his family long enough. Please select the best answer from the choices provided A B C D.
Answers
Answer is C I took the quiz
The correct answer to Deshawn's decision is; C: DeShawn's current policy will cover his family for an adequate period of time at his current salary.
What is the benefit of the pension Policy?From the scenario in the question about the policy chosen by DeShawn, we can say that DeShawn made a good decision. This is because his current policy will cover his family for an adequate period of time at his current salary.
Now, it must be noted that the premiums are nominal and as such he will earn a good salary which will help to cover all the expenses and premiums.
Read more about Pension Policy at; https://brainly.com/question/27232329