Answer:
n = - 4, - 3, - 2, - 1, 0, 1, 2
Step-by-step explanation:
Given
- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )
- 5 < n ≤ 2
Thus n ≠ - 5 but n can equal the upper limit of 2
Hence
n = - 4, - 3, - 2, - 1, 0 , 1, 2
d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie wire was used?
Help me
9514 1404 393
Answer:
500 ft or 166 2/3 yards
Step-by-step explanation:
The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...
(1000 yd)/6 = 166 2/3 yd = 500 ft
help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution
Answer:
C. the equation has one extraneous solutionStep-by-step explanation:
Given equation:
x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2
Multiply both sides by x² + x - 2:
x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2There is one solution but it is not true one.
Option C is correct
Answer:
[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]
x =-2 is the right answer.C. the equation has one extraneous solution.
When solving the equation 3(x-7)=2-x, the property used in the first step is the...
(2a^-2)(3a^3b^2)(c^-2)
Answer:
Step-by-step explanation:
Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?
Answer:
The expected value is 5.6
Step-by-step explanation:
Here, we want to calculate the expected value of x
Mathematically, that will be the probability multiplied by the number of items
In this case, that will be ;
0.28 (28%) * 20 = 5.6
find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.
Answer:
0.40 the actual answer is 3.20 but you said round so
Step-by-step explanation:
Answer:
0.38 is the answer for me
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
In the following lattice bridge, AABC - AECD. The ratio of the
lengths of the corresponding sides in AABC to AECD is 3:4. If
AB=9 meters, what is EC?
- A) 6 m
- B) 9 m
- C) 12 m
- D) 15 m
Answer:
C or D
dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c
What equation is the rule for the function illustrated by the table of values?
Answer:
The equation which determined the rule for the function is:
y = 3x+2Thus, option B is true.
Step-by-step explanation:
We know the slope-intercept form of line function is
y = mx+b
where m is the slope and b is the y-intercept
Given the table
x -2 -1 0 1 2
y -4 -1 2 5 8
Finding the slope between the points (-2, -4) and (-1, -1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]
[tex]m=3[/tex]
Thus, the slope of the function = m = 3
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
It is clear,
at x=0, y = 2
Thus, the y-intercept 'b' = 2
now substituting m = 3 and b =2 in the slope-intercept form
y = mx+b
y = 3x + 2
Therefore, the equation which determined the rule for the function is:
y = 3x+2Thus, option B is true.
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Answer:
Mei descends faster
Mei's height decreases 5ft every second
Victor's height decreases 3.33 ft every second
Step-by-step explanation:
Given
Mel
[tex](x_1,y_1) = (2,50)[/tex]
[tex](x_2,y_2) = (5,35)[/tex]
Victor
[tex](x_1,y_1) = (1,60)[/tex]
[tex](x_2,y_2) = (4,50)[/tex]
Required
Who descend faster?
To do this, we simply calculate the slope/rate of both individuals
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Mei:
[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (2,50)[/tex]
[tex](x_2,y_2) = (5,35)[/tex]
[tex]m_1 = \frac{35 -50}{5 - 2}[/tex]
[tex]m_1 = \frac{-15}{3}[/tex]
[tex]m_1 = -5[/tex]
Mei descends at 5ft per second
For Victor:
[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (1,60)[/tex]
[tex](x_2,y_2) = (4,50)[/tex]
[tex]m_2 = \frac{50-60}{4 - 1}[/tex]
[tex]m_2 = \frac{-10}{3}[/tex]
[tex]m_2 = -3.33[/tex]
Victor descends at 3.33ft per second
By comparison:
Mei descends faster
Answer:
Mel: -5, 5
Victor: -10/3, 10,3
Edge 2021
Bamboo grows at a rate of 3 inches every month. Gina planted Bamboo when it was initially only 11 inches. -Create an explicit formula for this situation. -How tall will the plant be after 6 months?
I’ll give brainliest if you are correct.
Please answerrrrr
Answer:
Step-by-step explanation:
initial growth = 11
growth in 6 months= 3*6= 18
Final growth = 29 inches (11+18)
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
9x^2-36x+16
A.True
B.False
Step-by-step explanation:
9x² - 36x + 16
= (Ax - B)² = A²x² - 2ABx + B².
By Comparing Coefficients, we have:
A² = 9,
2AB = 36,
B² = 16.
It is obvious that A = 3 and B = 4.
However 2AB = 2(3)(4) = 24 which is not equal to 36.
Hence 9x² - 36x + 16 is not a perfect square trinomial.
Answer:
False
Step-by-step explanation:
The polynomial cannot be factored.
what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)
Answer:
o,1
Step-by-step explanation:
Simplify.
(+18)%(-6)
Answer: -3
Step-by-step explanation:
18/6 = 3
18/-6 = -3
If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?
Answer:
(5, -11)
Step-by-step explanation:
We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.
If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)
Find the inverse:
-3x+7y=14
9514 1404 393
Answer:
-3y +7x = 14
Step-by-step explanation:
The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...
-3x +7y = 14 . . . . given relation
is
-3y +7x = 14 . . . . inverse relation
so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?
Answer:
She would have 16
Step-by-step explanation:
10-2=8
8+8=16
1/3 + 4 × 2/3 + (-12) ÷ 4
PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST
Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.
___ + (plus) ___ + (plus) ___
m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15
fill in the three blanks using three of those answers please!!
Answer:
m + (m + 15) + (m + 2)
Step-by-step explanation:
Even thought we don't know the value of m, we can use expressions to represent it.
Hope this helps.
The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
Let's represent Marla drove "m" miles.
Since Lawrence drove 15 more miles than Marla.
So, this means the expression m + 15
Then Jerry drove 2 more miles than Marla.
So, this means the expression m + 2
Now, the total number of miles = m + (m + 15) + (m + 2)
This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
Determine if the following conditional statement is true or false,
alf B is between A and C, then AB + BC = AC
b.ITB is between A and C, then AB = BC,
✓
c. If AB = BC, then B is a midpoint,
Answer:AlF3
Step-by-step explanation:
I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
Given m||n, find the value of x.
+
(8x-4)º
(6x-12)
Answer:
x = 14
Step-by-step explanation:
(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)
6x - 12 + 8x - 4 = 180
Add like terms
14x - 16 = 180
14x = 180 + 16
14x = 196
x = 196/14
x = 14
please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?
Answer:
C=2.50r+5.25
Step-by-step explanation:
(r represents each ride cost)
5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.
#5 Test question 7th grade math
Answer:
0.85p and p - 0.15p are right
Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?
Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.
Step-by-step explanation:
It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.
So, we start by plugging in -20 for y and 5 for x.
y > -2x-3
-20 > (-2)(5) - 3
-20 > -10-3
-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.
y ≤ 3x + 2
-20 ≤ 3(5) + 2
-20 ≤ 15 +2
-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.
What is the initial value of the equation shown?
y = −7x − 6
Answer:
[tex]y = -6[/tex]
Step-by-step explanation:
Given
[tex]y = -7x-6[/tex]
Required
Determine the initial value
The initial value of any equation is the point where
[tex]x = 0[/tex]
Substitute 0 for x in [tex]y = -7x-6[/tex]
[tex]y = -7 * 0 - 6[/tex]
[tex]y=0-6[/tex]
[tex]y = -6[/tex]
Hence, the initia; value is -6
Answer:
the answer is -6 ( and or c )
Step-by-step explanation:
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean.
m is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
[tex]m \propto\ r^3[/tex]
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
[tex]m = kr^3[/tex]
Given
r=3,m=216
Putting the values
[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]
The equation will now become
[tex]m = 8r^3[/tex]
Putting r = 5
[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]
Hence,
The value of m is 1000 for r=5
1. Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and
the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in standard form that represents Billy's profits last week,
where x is the number of bagels sold and y is the number of sandwiches sold.
Your answer
b. Change the equation for Billy's profit to slope-intercept form.
Your answer
c. Write the equation in function notation.
Your answer
Answer: a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget
i would like to give some people points and also pray for everyone to have a great life