Answer: 4/-3
Step-by-step explanation:
Slope (m) = ΔY /ΔX = 4 /-3
ΔX = 3 – 9 = -6
ΔY = 8 – 0 = 8
select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))
Answer:
Me and my massive brain, among other massive things of mine, believe it to be -1
Step-by-step explanation:
The value of the function F(g(x) will be equal to (7 / 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given functions are:-
f(x)=3x-7 g(x)= x +(1/x-1)The function F(g(x) is written as :-
F(g(x) = 3 [ x + ( 1 / ( x-1 )) -7 ]
F(g(x) = 3 [ (3 + (1/2) - 7 ]
F(g(x) = 3 (7 / 2 ) -7
F(g(x) = ( 21/2) - 7
F(g(x) = ( 21-14 ) ( 2 )
F(g(x) = ( 7/2 )
Therefore the value of the function F(g(x) will be equal to (7 / 2).
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Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
Which is a better deal and why? And find the unit rate for both if you wanna help pls
Unit rate = cost / quantity
Lower unit rate is better deal.
3.50/10 = 0.35
2.40/6 = 0.40
The original 10 for 3.50 is the better deal.
Answer:
As we know that
Unit = Rate/Quantity
[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]
[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]
The original deal was better because it was cheap than new deal.
Which phrases could n + 10 represent? Check all that apply.
the sum of a number and ten
the difference between a number and ten
a number plus ten
the difference between ten and a number
ten more than a number
Answer:
The sum of a number and ten
A number plus ten
Ten more than a number
Step-by-step explanation:
edg
6.4 divided by 208 What is the quotient for the equation above?
Answer:
0.030769
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x.
Answer:
114 degree
Step-by-step explanation:
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7)?
The graph of g(x) is the graph of f(x) translated 7 units down.
The graph of g(x) is the graph of f(x) translated 7 units left.
The graph of g(x) is the graph of f(x) translated 7 units right.
The graph of g(x) is the graph of f(x) translated 7 units up.
Step-by-step explanation:
When the number is inside the parenthesis. It means horizontal shift. Now negative is to the right and positive is to the left. Since it is negative 7 it would be 7 units to the right
any more help just ask :)
Answer:
The graph of g(x) is the graph of f(x) translated 7 units up.
Step-by-step explanation:
The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?
Answer:
17°C
Step-by-step explanation:
temperature rises by 13, so the temperature will be 4+13 = 17°C
Which are the intercepts of the equation y+2=4(x+1) ?
Answer:
x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])
Step-by-step explanation:
How do we find the y-intercept of a function?We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]
First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably
[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]
Now let's plug in 0 for x to find the y-intercept:
[tex]y = 4\cdot 0 + 2\\y = 2[/tex]
How do we find the x-intercept of a function?We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])
[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]
We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.
That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])
This corresponds to the 3rd option counting from the left.
Good luck!
can u explain how to do this question..pls
Answer:
use this formula, you will get the answer
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
Answer:
RS ≈ 5.39
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)
RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.39 ( to 2 dec. places )
A line passes through the origin and (4, 5). Which point is also on the line?
Answer:
I belive (8,10)
Step-by-step explanation:
8 is 4 twice
10 is 5 twice
please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)
Answer:
H'(0, 3); I'(2, 4); J'(5, 1)
Step-by-step explanation:
H'(-2+2,4-1)
H'(0, 3)
I'(0+2, 5-1)
I'(2, 4)
J'(3+2, 2-1)
J'(5, 1)
A
116°
27°
.Y
37°
Z
A. AZ
B. ZY
C. AY
D. ZW
Answer:
B. ZY
Step-by-step explanation:
The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.
What is the area of the figure composed of a parallelogram, a square, anda rectangle?
10 in.
3.5 in.
4 in.
6 in.
12.5 in.
Enter the answer in the box.
___ square inches
Answer:
126 in^2.
Step-by-step explanation:
Area of parallelogram = 10 * 3.5 = 35.
Area of the square = 4*4 = 16.
Area of the rectangle = 6 * 12.5 = 75
Total area = 35 + 16 + 75
= 126 in^2.
HELPPPPPPPPPPPP PLSSSSSS
Answer:
(x, y) → (x + 8, y - 3)
Step-by-step explanation:
To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.
Let's say we take the point D (0, -1).
(-1, 0) → (7, -3)
Change in x = 7-(-1)
= 7 + 1
= 8
Change in y = -3-0
= -3
Thus, the change is (x + 8, y - 3)
Which expression is equal to 567.083?
A
(5×100)+(6×10)+(7×1)+(8×100)+(3×1000)
B
(5×100)+(6×10)+(7×1)+(8×110)+(3×1100)
C
(5×100)+(6×10)+(7×1)+(8×1100)+(3×11000)
D
(5×100,000)+(6×10,000)+(7×1000)+(8×10)+(3×1)
Answer:
the answer is D
Step-by-step explanation:
u just have to add them all up
Four students simplified the expression.
410
45
Camilla added the exponents: 410 + 5 = 415
Bentley divided the exponents: 410 + 5 = 42
Mira multiplied the exponents: 410.5 = 450
Regan subtracted the exponents: 410 - 5 = 45
Which student correctly simplified the expression?
Answer:
camilaaaaaaaaaaaaaaa
Answer:
Regan subtracted the exponents: 410 − 5 = 45
The graph of a non-invertible function passes through the points (−2,4), (0,2), and (3,−2).
How is the inverse of this function graphed?
9514 1404 393
Answer:
line y = x(4, -2), (2, 0), (-2, 3)Step-by-step explanation:
The graph of an inverse relation is the reflection of the graph of the relation over the line y = x. That interchanges the coordinates of the points of the function. (-2, 4) becomes (4, -2) when so reflected, for example.
Which statement describes the rate of change of the following function?
f(x) = -5x - 7
A.
The function has a varying rate of change when x < 7.
B.
The function has a varying rate of change when x < 5.
C.
The function has a constant rate of change, decreasing for all x at a rate of 7.
D.
The function has a constant rate of change, decreasing for all x at a rate of 5.
Given:
The function is
[tex]f(x)=-5x-7[/tex]
To find:
The rate of change of the given function.
Solution:
We have,
[tex]f(x)=-5x-7[/tex] ...(i)
It is a linear function because the degree or power of x in this function is 1.
Slope of a linear function is always constant.
The slope intercept form of a linear function is
[tex]f(x)=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
On comparing (i) and (ii), we get
[tex]m=-5[/tex]
It means, the function has a constant rate of change, decreasing for all x at a rate of 5.
Therefore, the correct option is D.
I
If 3 lb. of candy cost $20. 25, how much
would 1 lb. of candy cost?
HELP
Answer:
1lb would be 6.75 because you need to divide 20.25 by 3 lb
Step-by-step explanation:
A rectangle is 15 feet long and 9 feet wide. Find its area.
Step-by-step explanation:
Since area = length(width) = l(w)
We need to multiply 15 and 9.
15(9) = 135
Therefore, the area of the rectangle is 135 ft
Area of the rectangle is 135 feet square
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
Given,
Length of the rectangle = 15 feet
Width of the rectangle = 9 feet
Area of the rectangle = Length × Width
=15×9
=135 feet square
Hence, the area of the Rectangle is 135 feet square
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please help me with this
Answer:
B
Step-by-step explanation:
Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply. They have different slopes. They have different y-intercepts. The substitution method results in the false statement, 8 = –1. The solution is (8, –1). There is no solution.
Answer:
The correct statements are as follows;
1. They have different y-intercepts
2. The substitution method results in false statement 8 = -1
3. There is no solution
Step-by-step explanation:
Here, we want to select the statement that best describes the equations
The equation for a straight line is generally;
y = mx + b
m is slope and b is the y-intercept
slope of both is same ; 4
So first assertion is wrong
they have different y-intercepts
First y-intercept is 8, second is -1
This is correct
The third statement is correct too
if we equated both y;
4x + 8 = 4x -1
We shall have 4x canceled out and left with 8 = -1
(8,-1) is not a solution
There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible
Answer:
B,C and E
Step-by-step explanation:
It is trust me
In ∆TMZ, the measure of angle M is 6° more than twice the measure of angle T, and the measure of angle Z is 50° less than five times the measure of angle T.
Answer:
m<T = [tex]28^{o}[/tex], m<M = [tex]62^{o}[/tex] and m<Z = [tex]90^{o}[/tex]
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle = [tex]180^{o}[/tex]
T + (2T + 6°) + (5T - 50°) = [tex]180^{o}[/tex]
8T -[tex]44^{o}[/tex] = [tex]180^{o}[/tex]
8T = [tex]180^{o}[/tex] + [tex]44^{o}[/tex]
= [tex]224^{o}[/tex]
T = [tex]\frac{224^{o} }{8}[/tex]
= [tex]28^{o}[/tex]
Therefore,
i. m<T = [tex]28^{o}[/tex]
ii. m<M = 2T + 6°
= 2 x [tex]28^{o}[/tex] + 6°
= [tex]62^{o}[/tex]
m<M = [tex]62^{o}[/tex]
iii. m<Z = 5T - 50°
= 5 x [tex]28^{o}[/tex] - 50°
= [tex]140^{o}[/tex] - 50°
= [tex]90^{o}[/tex]
m<Z = [tex]90^{o}[/tex]
I need help solving this
Answer:
x=10
y=25
Step-by-step explanation:
3x-10+5x+30+6x+20=180
14x+40=180
14x=180-40
14x=140
x=10
9x-10=4y-20
9(10)-10=4y-20
90-10=4y-20
80=4y-20
80+20=4y
100=4y
25=y
с
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
10 yds
Step-by-step explanation:
Pythagorean Theorem is [tex]A^{2} +B^{2} =C^{2}[/tex]
So, [tex]6^{2} +8^{2} =C^{2}[/tex]
[tex]36+64=C^{2}[/tex]
[tex]100=C^{2}[/tex]
C=10
Will be mark brainless
A. 28
B. 0
C. 4
D. 1
the answer to your problem is A or 28
The perimeter of a rectangle is 70cm.
Its shortest side has a length of 10cm.
Answer:
l=25 cm
Step-by-step explanation:
The perimeter of a rectangle
2(l+w)=70 cm
(l+10)=70/2
l=35-10
l=25
Note : you have no question. So I just assume it
The angle lies in Quadrant II.
sin0=3/4
What is cos 0?
Answer:
cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex] ⇒ B
Step-by-step explanation:
Let us solve the question using one of the identities of trigonometry
∵ sin²Ф + cos²Ф = 1
∵ sinФ = [tex]\frac{3}{4}[/tex]
→ Substitute it in the rule above to find cos Ф
∴ ([tex]\frac{3}{4}[/tex])² + cosФ² = 1
∴ [tex]\frac{9}{16}[/tex] + cosФ² = 1
→ Subtract [tex]\frac{9}{16}[/tex] from both sides
∴ cos²Ф = [tex]\frac{7}{16}[/tex]
→ Take √ for both sides
∴ cosФ = ± [tex]\frac{\sqrt{7}}{4}[/tex]
∵ Angle Ф lies on the second quadrant
∴ cosФ is a negative value
∴ cosФ = [tex]-\frac{\sqrt{7}}{4}[/tex]
∴ cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex]