Answers
Answer:
III (third) quadrant
Step-by-step explanation:
Answer: Choice B
Quadrant II, because the slope is positive and the y intercept is negative.
===============================================================
Explanation:
The y intercept is -6 which places the graph below the x axis when x = 0. The graph will go uphill as we move to the right (since the slope is positive), so we cut through quadrant 4 and move to quadrant 1 at some point. Going in reverse of this, we go through quadrant 3.
Only quadrant 2 is never passed through or touched at all.
------------
Here's another way to see why this is. Notice that x < 0 is the case for quadrant 2 since we're to the left of the vertical y axis. If x is negative, then so is (2/3)x. Recall that negative times positive = negative.
Adding on -6 to any negative value just gets us in even more negative territory. So ultimately, y is always negative when x < 0.
But if x < 0 leads to y < 0, then we're in Q3 and not Q2. In short, x < 0 will never get us to Q2 no matter what negative x value we pick.
The graph below hopefully visually summarizes and confirms what we discussed so far.
Related Questions
The perimeter of a rectangle is 24 cm. If the length is 7 cm, find it width
Answers
Answer:
The width is 5 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
Substitute what we know
24 = 2(7+w)
Divide each side by 2
24/2 = 2/2(7+w)
12 = 7+w
Subtract 7 from each side
12-7 = 7+w-7
5 =w
The width is 5 cm
The formula for perimeter = 2 x length + 2 x width
Fill in the known dimensions:
24 = 2 x 7 + 2 x width
Simplify:
24 = 14 + 2 x width
Subtract 14 from both sides:
10 = 2 x width
Divide both sides by 2:
Width = 5 cm
Answer: Width = 5 cm.
What ordered pairs are the solutions of the system of equations in the graph below?
Answers
Answer:
(- 8, 8 ) and (- 4, 1 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the points of intersection of the two
They intersect at (- 8, 8 ) and (- 4, 1 ) ← solutions
If the woman in the picture below measured the angle of elevation from herself to the top of castle and found it to be 64 degrees, and she also measured the distance from herself to the base of the castle as being 124 meters, what would the height of the castle be? (round to the nearest whole meter.)
Answers
Answer:
254m
Step-by-step explanation:
The setup will be in form of a right triangle. Hence;
The angle of elevation = 64degrees
distance from herself to the base of the castle = 124 meters (Adjacent)
Required
Height of the castle (Opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 64 = H/124
H = 124tan64
H = 124(2.05030)
H = 254.23
H ≈ 254m
Hence the height of the castle to the nearest whole meters is 254metres
Find the value of the polynomial 5x – 4x^2 + 3 at x = 2 and x = –1
Answers
Answer:
Let the polynomial be f(x) = 5x – 4x^2 + 3
Now, for x = 2,
f(2) = 5(2) – 4(2)^2 + 3
=> f(2) = 10 – 16 + 3 = –3
Or, the value of the polynomial 5x – 4x^2 + 3 at x = 2 is -3.
Similarly, for x = –1,
f(–1) = 5(–1) – 4(–1^)2 + 3
=> f(–1) = –5 –4 + 3 = -6
The value of the polynomial 5x – 4x2 + 3 at x = -1 is -6.
Answered by GAUTHMATH
Answer:
x=2 => 5×2 - 4×2² + 3 = 10-16+3 = -3
x=-1 => 5×-1 - 4×(-1)² + 3 = -5 - 4 + 3 = -6
Step-by-step explanation:
is in the answer.
remember that squaring a negative number creates a positive result.
Delta math please help
Answers
Answer:
[tex]\approx 13.0[/tex]
Step-by-step explanation:
The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the triangle angle of the right triangle. Parameter (c) represents the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown:
[tex]a = 7\\b = 11[/tex]
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+11^2=c^2[/tex]
Simplify,
[tex]7^2+11^2=c^2\\\\49 + 121= c^2\\\\170=c^2[/tex]
Inverse operations,
[tex]170=c^2\\\\\sqrt{170}=c\\\\\\c \approx 13.0384[/tex]
Let f be the function defined as follows:1. If a = 2 and b = 3, is f continuous at x = 1? Justify your answer.2. Find a relationship between a and b for which f is continuous at x = 1.Hint: A relationship between a and b just means an equation in a and b.3. Find a relationship between a and b so that f is continuous at x = 2.4. Use your equations from parts (ii) and (iii) to find the values of a and b so that f is continuous at both x = 1 and also at x = 2?5. Graph the piece function using the values of a and b that you have found. You may graph by hand or use your calculator to graph and copy and paste into thedocument
Answers
Answer:
1. not continuous, as the function definitions deliver different function values at x=1 when approaching this x from the left and from the right side.
2.
2 = a + b
3.
0 = 2a + b
4.
a = -2
b = 4
Step-by-step explanation:
the function is continuous at a specific point or value of x, if the f(x) = y functional value is the same coming from the left and the right side at that point.
1. that means that for x=1
3 - x = ax² + bx
so,
3 - 1 = a×1² + b×1 = a + b
2 = a + b
we have to use a=2 and b=3
2 = 2 + 3 = 5
2 is not equal 5, so the assumed equality is false, so the function is not continuous there.
2. point 1 gave us already the working relationship between a and b.
2 = a + b
only if that is true, is the function continuous at x=1.
3. now for x=2
5x - 10 = ax² + bx
5×2 - 10 = a×2² + b×2 = 4a + 2b
10 - 10 = 4a + 2b
0 = 4a + 2b
0 = 2a + b
4. to find a and b to be continuous at both locations x=1 and x=2 both expressions in a and b must apply.
so, they establish a system of 2 equations with 2 variables.
2 = a + b
0 = 2a + b
a = 2 - b
0 = 2×(2-b) + b = 4 - 2b + b = 4 - b
b = 4
therefore
a = 2 - 4 = -2
5. I cannot draw a graph here.
just use now the function
3 - x, x < 1
‐2x² +4x, 1 <= x < 2
5x - 10, x >= 2
A 42 inch wire is bent into the shape of a rectangle whose width is twice its
length. Set up an equation to find the length of the rectangle.
Answers
Answer: Choice A
2(2L + L) = 42
=================================================
Explanation:
The length is L, which is some placeholder for a positive number.
The width is twice as much as this, so it's 2L
The perimeter is found by adding up the four sides (two of which are L, the other two are 2L)
So we have L+L+2L+2L = 2(2L+L) representing the perimeter.
Or we could use this formula
P = 2(L+W)
where L and W are the length and width respectively.
Either way, we end up with 2(2L + L) = 42
Answer:
42 = 2( l+2l)
Step-by-step explanation:
width = 2 length
Perimeter = 2 (l+w)
42 = 2( l+2l)
Divide each side by 2
42/2 = 2 (3l) /2
21 = 3l
Divide by 3
21/3 = 3l/3
7 = l
The length is 7
width is 2*l = 2*7 = 14
Find the length of side x in simplest radical form with a rational denominator
Help please!
Answers
Answer:
x = 6
Step-by-step explanation:
x = 3 sin(90) / sin (30)
x = 3(1)/(1/2)
x = 3 ÷ [tex]\frac{1}{2}[/tex]
x = 6
Solve + 17 = 20 for x and plot its value on the number line given below.
Answers
Answer:
x=12
Step-by-step explanation:
x/4 + 17 =20
Subtract 17 from each side
x/4 +17-17 =20-17
x/4 = 3
Multiply each side by 4
x/4 *4 = 3*4
x =12
Does this graph show a function? Explain how you know.
Answers
Answer:
A is the correct one
cause according to function rule the vertical line should cut only on a one point to be function
as here we can see that vertical line cuts here at two point
The slope of a line is 5/9 and the slope of another line is -975. The two lines
are
Answers
Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
Answers
18.75%
Step-by-step explanation:
600÷3200=0.1875
0.1875=18.75%
Answer:
18.75%
Step-by-step explanation:
-24/15*2/11=
pls tell fast
Answers
Answer:
-48/165
Step-by-step explanation:
The floor is in the shape of square. Louis measures the area as 445 square feet. Find the diagonal of the floor.
Answers
Answer:
29.83 ft
Step-by-step explanation:
First, you find the square root of 445, which is 21.09.
Then you use the Pythagorean theorem, which is a^2 + b^2 = c^2
because a and b are the same value you plug it in
21.09^2+21.09^2 = c^2
You end up getting:
c^2=889/5762
You then square root both sides to get:
c = 29.83, which is option 3
PLEASE HELP ITS TIMED!!!!
Answers
Answer:
It's A
Step-by-step explanation:
DO FOIL
-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2
Answer:
the first answer: -10a^4 + 17a^2s-6s^2
Step-by-step explanation:
If the point A at (5, 3) is rotated clockwise about the origin through 90°, what
will be the coordinates of the new point?
Answers
Answer:
(5,-3) in the 4th quadrant
Step-by-step explanation:
GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
The coordinates or rectangle ABCD are (2,-2), (8,-2), (8,-5), (2,-5).
What are the coordinates of rectangle ABCD after a translation of (x - 3, y + 5)
Answers
Answer:
(2,-2) --> (-1, 3)
(8,-2) --> (5, 3)
(8,-5) --> (5, 0)
(2,-5) --> (-1, 0)
A fruitseller bought 50 kg of fruits. He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quantity for the cost price of 18 kg of fruits. Calculate his profit or loss percent in the total transaction.
Answers
Answer:
6%.
Step-by-step explanation:
For arguments sake lets assume each fruit cost $1.
He spent $50 for the fruit.
His income from the 30 kg he sold was $35.
His income from the remaining 20Kg was $18.
Total income = $35 + $18 = $53
So his profit was 53 - 50 = $3.
= (3/50) * 100
= 6%
Fill in the blank and dropdown menus to form a true statement below.
Answers
Answer:
the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .
Answer:
the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .
Step-by-step explanation:
A club has 30 members. How many ways are there to select a President. Vice-
President and Secretary from this club? Assume no one can occupy more than one
position.
Answers
Answer:
Answer is 90 ways
Step-by-step explanation:
You multiply the members (30) by the number of positions (3) to get your answer
A) 3d = 2d - 2
B) 5d = 4d - 4
Answers
Answer:
3D= -2
5D= -4
Step-by-step explanation:
3D = 2d -2
3d - 2d = -2
d= -2
5d =4d-4
5d - 4d = -4
d = -4
hope it will help you
need a little help with this
Answers
Answer:
-5/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12 - 3)/(4 - -2)
= (-12-3)/(4+2)
-15/6
-5/2
Answer:
-5/2
Step-by-step explanation:
(y2-y1)/(x2-x1) = -15/6 = -5/2
Javier jogs & of a -
mile in 8 minutes
how many minutes will
it take him to jog
1 mile?
Answers
Answer:
It will take him 10 minutes to jog 1 mile.
Step-by-step explanation:
can i have brianliest please
how can the graph of g(x) =x2+4 be obtained from the graph of f(x) =x2
Answers
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The graph of g(x) is the graph of f(x) shifted up by 4 units
if the sum of an angle measures of a polygon with sides s is 2340, what is s
Answers
Answer:
polygon is 15 side
Step-by-step explanation:
Here sum of interior angels is 2340 degrees. Therefore, the polygon is 15 side
Rewrite the expression in the form a^n.
1/a^-5/6
Answers
Step-by-step explanation:
here's the answer to your question
Answer:
[tex]\frac{1}{a^{\frac{-5}{6} } }[/tex]
[tex]\frac{1}{a^{-n} }[/tex][tex]\frac{1}{a^{-5/6} } =a^{5/6}[/tex][tex]ans: a^{5/6}[/tex]OAmalOHopeO
The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?
PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
-6
Step-by-step explanation:
2n can be the smallest integer, and 2n + 18 will be the largest integer.
The sum of this, divided by two, will result in the average/mean.
(2n + 2n + 18)/2 = 3
Multiply each side by 2:
(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2
2n + 2n + 18 = 6
Combine the like terms:
4n + 18 = 6
Subtract 18 from both sides:
4n + 18 - 18 = 6 - 18
4n = -12
Divide each side by 4:
4n/4 = -12/4
n = -3
Since we decided to go by 2n:
2n = 2(-3) = -6
Can you answer this math homework? Please!
Answers
Answer:
y = 6
Step-by-step explanation:
If x = 1, then: 3 x 1 + y = 9 (first equation)
3 x 1 + y = 9
3 + y = 9
y = 9 - 3
y = 6
geometry help translations
Answers
Answer:
A' (9,4)
B' (8,-1)
C' (5,1)
Answered by GAUTHMATH
Answer:
A' = 9,4
B' = 8,-1
C' = 5,1
Step-by-step explanation:
Please help please please help
Answers
Answer:
Step-by-step explanation:
Number Estimate using a single digit and power of 10
23,898,497 2 × 10⁷
0.000136 1 × 10⁻⁴
26,857 3 × 10⁴
0.0302 3 × 10⁻²
