Answer:
- 10 < x < 7
Step-by-step explanation:
Inequalities of the type | x | < a
Always have solutions of the form
- a < x < a
Given
| 2x + 3 | - 5 < 12 ( add 5 to both sides )
| 2x + 3 | < 17 , then
- 17 < 2x + 3 < 17 ( subtract 3 from all 3 intervals )
- 20 < 2x < 14 ( divide the 3 intervals by 2 )
- 10 < x < 7
Ferdinand Freight Company charges a flat rate of $200 plus $0.75 per pound to transport freight in
the metro area. This cost is represented by the function below where w is the weight of the freight
in pounds and c(w) is the cost given the weight of the freight
c(w) = 200+ 0.750
Answer:
$1325
Step-by-step explanation:
c(w) = 200 + 0.75w
c(1500) = 200 + 0.75(1500)
c(1500) = 200 + 1125
c(1500) = 1325
Larry Mitchell invested part of his advance at annual simple interest and the rest at annual simple interest. If his total yearly interest from both accounts was , find the amount invested at each rate. The amount invested at is $ nothing. The amount invested at is $ nothing.
Complete question :
Larry Mitchell invested part of his $32000 advance at 4% annual simple interest and the rest at 9% annual simple interest. If his total yearly interest from both accounts was 2430, find the amount invested at each rate. The amount invested at is $ nothing. The amount invested at is $ nothing.
Answer:
Investment at 4% = $9000
Investment at 9% = $23,000
Step-by-step explanation:
Given that :
Total investment = 32000
Let;
amount invested at 4% = a
amount invested at 9% = 32000 - a
Total interest earned = 2430
Simple interest = principal * rate * time
Investment at 4%:
(a * 0.04) + [(32000 - a) * 0.09] = 2430
0.04a + 2880 - 0.09a= 2430
-0.05a + 2880 = 2430
-0.05a = 2430 - 2880
-0.05a = - 450
a = 9000
Hence,
Investment at 4% = $9000
Investment at 9% = $32,000 - $9000 = $23,000
Work out the answers to:
a) 4-7
b) (-3) + 8
c) 9-11
d) (-2) -4
Answer:
-3, 5, -2, and 2
Step-by-step explanation:
4-7 is like 7-4 and the answer you get you add a negative sign
-3+8. On a number line its 5, you move to the right because its adding, and get 5.
9-11, again on a number line, this time move to the left, because subtraction, and get -2
-2-(-4). On a number line, start at -2. Move 4 to the left, subtraction, and get -6
Answer:
the last one is wrong on their one so the correct answer is -6
Step-by-step explanation:
a lawn care company charges an initial fee of 15$ and a $9 per hour to perform services. Write an equation to represent the cost )c) of the service as a function of horse (h). Explain in context the meaning of c(3) = 42
Answer:
see below
Step-by-step explanation:
The cost to care care for the lawn in terms of h hours is
c(h) = 15 + 9h where h is the number of hours
c(3) means that for 3 hours the cost is 42 dollars
Evaluate and solve for the variable and show your work please.
x – 7 = 4 + 10
12 – c = 8
–4 – 10 = 4y + 3y
–42 + 20 = –2x + 13x
x – 7 = 4 + 10 (x=21)
x−7=4+10
x+−7=4+10
x−7=(4+10)(Combine Like Terms)
x−7=14
x−7=14
Step 2: Add 7 to both sides.
x−7+7=14+7
x=21
---------------------------------------------------
12−c=8 (c=4)
12+−c=8
−c+12=8
Step 2: Subtract 12 from both sides.
−c+12−12=8−12
−c=−4
Step 3: Divide both sides by -1.
−c
−1
=
−4
−1
c=4
----------------------------------
−4−10=4y+3y (y=−2)
−4+−10=4y+3y
(−4+−10)=(4y+3y)(Combine Like Terms)
−14=7y
−14=7y
Step 2: Flip the equation.
7y=−14
Step 3: Divide both sides by 7.
7y
7
=
−14
7
y=−2
------------------------------------
-42=20=-2=13x (x=−2
Simplifying
-42 + 20 = 2x + 13x
Combine like terms: -42 + 20 = -22
-22 = 2x + 13x
Combine like terms: 2x + 13x = 15x
-22 = 15x
Solving
-22 = 15x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15x' to each side of the equation.
-22 + -15x = 15x + -15x
Combine like terms: 15x + -15x = 0
-22 + -15x = 0
Add '22' to each side of the equation.
-22 + 22 + -15x = 0 + 22
Combine like terms: -22 + 22 = 0
0 + -15x = 0 + 22
-15x = 0 + 22
Combine like terms: 0 + 22 = 22
-15x = 22
Divide each side by '-15'.
x = -1.466666667
Simplifying
x = -1.466666667
PLEASE HELP 15 POINTS The sum of the measures
of seven out of ten angles
in a decagon is 1086°. If the
three remaining angles are
equal in measure, what is the
measure of each angle?
Answer:
118
Step-by-step explanation:
1440-1086= 354
354/3=118
The measure of each angle is 118 degrees
The given parameters are:
Shape: DecagonSeven angles add up to 1086The remaining three angles are congruentThe sum of interior angles of a decagon is 1440.
Let each of the remaining three angles be represented with x.
So, we have:
[tex]1086 + 3x = 1440[/tex]
Collect like terms
[tex]3x = 1440 - 1086[/tex]
[tex]3x = 354[/tex]
Divide both sides by 3
[tex]x = 118[/tex]
Hence, the measure of each angle is 118 degrees
Read more about polygons at:
https://brainly.in/question/5173910
Simplify 3(x-5)+8x+1
Answer: 11x-14
Step-by-step explanation:
plz someone help me
Answer:
9is the answer..........
Step-by-step explanation:
plz mark me as brainlist
Answer:
1.2
Step-by-step explanation:
9. A line passes through (-4,-6) and (4, 10). What is the slope?
Answer: the slope is 2 :)
Step-by-step explanation:
answer:
2
Step-by-step explanation:
-4 | 4
-6 | 10
-4 to 4 is 8
-6 to 10 is 16
(usually add the two together to get your answer)
1. K + 12 > 20, if k = 15
true or false
Answer:
true
Step-by-step explanation:
Select the correct answer.
Which equation represents the line that is perpendicular to y=1/5 and passes through (-4,-3)?
A. x= -4
B. x= -3
C. y= -5
D. y= -3
Answer:
The required line's equation is x=-4. Option A.
Step-by-step explanation:
This is more conceptual than a numerical problem.
We have the line y=1/5 and want to find a perpendicular line that passes through (4,-3).
The line y=1/5 is a horizontal line with slope 0. The perpendicular line would have an infinity slope and it would make it impossible to use the regular procedure to find it.
Instead, we realize that a perpendicular line to a horizontal line is a vertical line.
All vertical lines have the equation x = h, where h is the x-component of the point it passes through.
Now we only have to see the x-component of the point (-4,-3) and write our solution:
The required line's equation is x=-4. Option A.
Answer: A. x= -4
Step-by-step explanation:
Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal.
a. What is the price for the meal?
Answer:
$17
Step-by-step explanation:
15×20=300
300÷100=3
20-3=17
Answer:
The bill would be $17
Step-by-step explanation:
A cook has 14.62 pints of olive oil before the dinner service. There were 8.3 pints of olive oil used during the dinner service.
What amount of olive oil is left after the dinner service, with the correct number of significant digits?
Answer:
6.32
Step-by-step explanation:
what is the reflection of (0,3) over the x axis
Answer:
ihkfdrjnhgbunt ui hvi8thugh ugood job :3
Step-by-step explanation:
10. Which of the following is equivalent to 432 X 15? Oh
Answer:
The answer is 6,480 if im correct
chilling with 20 points anyone who puts a funny story in there answer will get brainliest
Once, I was in the store with my little sister and she fell and we both started to laugh. Then this one dude saw her and helped her and she stopped laughing and when he left, she started laughing and then farted while the cute boy was still in our aisle. So we took off running and laughing.
Where is (-2.5, -2) located on the coordinate plane?
Answer: It is located in quadrant III (3) of the coordinat plain
Step-by-step explanation:
You can use the negative numbers to find their placement. if there are no negative numbers, it’s in quadrant I (1). If there‘s a negative number for the Y-coordinate, then it’s in quadrant II (2). If there are 2 negative numbers, it’s in quadrant III (3). And if there’s a Negative number for the X-coordinate, it’s in quadrant IV (4).
1) During second period, Jakhari completed a grammar worksheet. Of the 44
questions, Jakhari got 75% right. How many questions did Jakhari get right
known
Answer:
33
Step-by-step explanation:
75% is 3/4. 3/4 of 44 is 33.
One group who studies milk says about 70 percent of milk purchased in schools is flavored. Let's say that a school sells 290 cartons of milk at lunch time. According to the group, how many of those cartons likely contain flavored milk?
A rectangular tank has dimensions 4.5cm by 6cm by 8cm.it is filled with water to the brim,if 58m of water is used how much water is left in the tank?
Answer:
158m3
Step-by-step explanation:
find the volume which is l×w×h
4.5×6×8=216m3-58=158m3
helpp idk what to do
Answer:
your answer is 0101
Step-by-step explanation:
Answer:
the answer is 0101 (B)
i need help please :))
Please help !!! I suck at math
Answer:
IT'S C pls like
Step-by-step explanation:
The diagram shows three squares that are joined out of her to see to form a right triangle which statement is true
what? i'm gonna need more info to answer this.
supercalifragilisticexpialidocious and the meaning of life
correlation?
yes.
The temperature on Wednesday evening was -5° Fahrenheit. The temperature decreased another 8° throughout the night. What was the temperature on Thursday morning? Justify your reasoning.
Answer:
The temperature on Thursday morning would be -13° Fahrenheit
Step-by-step explanation:
We start off with -5. In our situation the temperature DECREASES by 8 which means we must subtract.
-5 - 8 = -13
i need help please
Answer:
same
Step-by-step explanation:
Answer:
-7.25 I think
Step-by-step explanation:
-14.5 divided by 2 equals-7.25
Complete to solve 73+17.
Answer:
90
Step-by-step explanation:
Calculate each of the following segment lengths given the diagram below.
HELP ME, PLEASE. 100 POINTS
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]
Answer:
x=2
Step-by-step explanation:
Answer:
[tex] \huge \boxed{ \boxed{ \tt x = 2}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex][tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex] [tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]