Answer:
-11/3<x<4/3
Step-by-step explanation:
I attached the explanation:
find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation
Answer:
axis of symmetry: x=-1
Step-by-step explanation:
this graph shows the solution to which inequality? (3,2) (-3,-6)
Answer:
y > 4/3 x - 2.
Step-by-step explanation:
First find the equation of the dashed line:
The slope (-6-2)/(-3-3)
= -8/-6
= 4/3.
y - y1 =m(x - x1) where m = slope and (x1,y1) is a point on the line.
y - 2= 4/3(x - 3)
y = 4/3(x - 3) + 2
y = 4/3 x - 2
As the shading is above the line the answer is
y > 4/3 x - 2.
Answer: A
Y>4/3x-2
Step-by-step explanation:
These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!
Answer:
I would say AA
Step-by-step explanation:
try to separate the picture to see the bigger picture and you can do it.
What is the equation of a line with a slope of -3 and a y-intercept of 4
Answer:
y = -3x + 4
Step-by-step explanation:
So the -3 is the slope and the slope always has an x and the y intercept is b which is 4
Answer:
y = -3x + 4
Step-by-step explanation:
slope-intercept form: y = mx + b
Note that: m = slope
y- intercept = b
m = slope = -3
y-intercept = b = 4
Plug in the corresponding number to the corresponding variables:
y = mx + b
y = -3x + 4 is your answer.
~
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.
Please help me ASAP!!!
Answer:
E.
Step-by-step explanation:
There are 12 balloons in each package. Multiply this by the number of packages to get the number of balloons.
Answer:
E. 12p
Step-by-step explanation:
Multiply 12 by the number of packages to get the total number of ballons.
Ex.
If P is 7 :
12 x 7 = 84
84 ballons in total.
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor
(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis
(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis
To find where it will touch the axis set the factor equal to zero and solve .
(x + 2) = 0
Subtract 2 from both sides
x=-2
George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year
Answer:
George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Step-by-step explanation:
In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.
Therefore,
If one positive even integer = Month he died is represented by x
The second consecutive even integer = Day he died = x + 2
Their product =
x ( x + 2) = 168
x² + 2x = 168
x² + 2x - 168 = 0
We factorise
x² + 14x - 12x - 168 = 0
(x² + 14x) - (12x - 168) = 0
x(x + 14) - 12(x + 14) = 0
(x - 12)(x + 14) = 0
x - 12 = 0, x = 12
x + 14 = 0 , x = -14
Our answer cannot be a negative interger, hence x = 12
So the first positive even integer = 12
The second positive even integer = x+2 = 12 + 2 = 14
Therefore, the month he died = n = 12th month = December
The day he died = n + 2 = 14 = 14th day.
Hence, George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
please help with this
Answer:
1. 18x^11
2. 3n^7
3. x^9
4.-2s^9
5. 6v^14
6.-3p^6
7. 8b^10
can i get brainliest for this pls :)
Solve the equation. 1.25 =0.75+r
Answer:
0.50
Step-by-step explanation:
Do the opposite of addition
So 1.25 - 0.75
The solution to the equation 1.25 = 0.75 + r for r is r = 0.5
How to determine the solution to the equation for rFrom the question, we have the following parameters that can be used in our computation:
1.25 = 0.75 + r
Add -0.75 to both sides of the equation
so, we have the following representation
-0.75 + 1.25 = 0.75 + r + -0.75
Evaluate the like terms on the right hand side
This gives
-0.75 + 1.25 = r
Evaluate the like terms on the left hand side
This gives
0.5 = r
Rewrite as
r = 0.5
Hence. the solution is 0.5
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Identify the parent function of f(x)=(x+3)3
Answer:
g(x) = x^3
Step-by-step explanation:
f(x)=(x+3)^3
The parent function is
g(x) = x^3
The function was shifted to the left 3 units from the parent function
f(x) = ( x- -3) ^3
f(x) = ( x+3) ^3
What is the solution to the equation 2n3=n+145? Enter your answer in the box. n =
I just took the test and the answer is n= 6
Answer:
n=6
Step-by-step explanation:
Same question need help asap!
Answer:
Nico's method is correct
Step-by-step explanation:
Lauren carelessly forgot to add the negative sign
[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]
If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).
A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2
Answer:
a is answer correct i think
Step-by-step explanation:
Jenny just went shoe shopping. Now she has 5 more pairs of shoes than her brother does. Together, they have 25 pairs of shoes.
Jenny has
pairs of shoes, and her brother has
pairs of shoes.
Answer:
jenny got 15 pair of shoes
her bro got 10 pairs of shoes
Step-by-step explanation:
Jenny: 15 shoes
Brother: 10 shoes
what is the area of the obtuse triangle given below
Answer:
The answer is A
Step-by-step explanation:
The formula used to find the area of a triangle is 1/2base *height
The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.
Area of obtuse triangle is 64 sq. units
What is obtuse triangle?"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."
Given
Base of triangle = 16
Height of triangle = 8
Formula to find the area of obtuse triangle
A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]
A = 8 × 8
A = 64
Hence, Area of obtuse triangle is 64 sq. units
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Help plz will give brainliest
Answer:
150Step-by-step explanation:
[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]
Answer: the answer is 150
Step-by-step explanation:
30% x 500
0.3 x 500
= 150
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm
Answer:
The height of the triangle is 24 cm.
I’m stuck on this math problem
Answer:
C.
Step-by-step explanation:
You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.
Alternatively you can graph each equation on a graphing calc and choose the best answer.
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Y = ___x + ___
Y = ___x + ___
Answer:
2 x + y - 3 = 0
2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)
x = 7/3 - g/3
Step-by-step explanation:
Solve for x:
2 g = 14 - 6 x
2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:
14 - 6 x = 2 g
Subtract 14 from both sides:
-6 x = 2 g - 14
Divide both sides by -6:
Answer: |
| x = 7/3 - g/3
Answer:
y= -2 x + 3
y= 3 x + -7
The slops and they y-intercepts are different
Intersect at one point
Exactly one solution
Step-by-step explanation:
Edge 2022
Solve for b. ab+c=d
B=a+c/d
B=a/(c-d)
B=(d-c)/a
Answer:
b = (d-c)/a
Step-by-step explanation:
ab+c=d
Subtract c from each side
ab+c-c=d-c
ab = d-c
Divide by a
ab/a = (d-c)/a
b = (d-c)/a
Answer:
B is my best guess!
Step-by-step explanation:
Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]
Answer:
Step-by-step explanation:
The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4
Answer:
Option D.
Step-by-step explanation:
From the given graph it is clear that it is a parabola along to the x-axis.
Vertex form of a parabola along the x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex.
From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.
[tex]x=a(y-(-3))^2+(4)[/tex]
[tex]x=a(y+3)^2+4[/tex] ...(1)
The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.
[tex]1=a(-2+3)^2+4[/tex]
[tex]1-4=a(1)^2[/tex]
[tex]-3=a(1)^2[/tex]
Substitute a=-3 in equation (1).
[tex]x=-3(y+3)^2+4[/tex]
Therefore, the correct option is D.
The sum of seven times a number—
PLEASE HELP!
Answer:
x = 6
y = 4
Step-by-step explanation:
Let the two numbers be x and y
Condition 1:
7x+3y = 54 -----------(1)
Condition 2:
x = 2+y -----------------(2)
Putting (2) in (1)
=> 7(y+2)+3y = 54
=> 7y+14+3y = 54
=> 10y = 54-14
=> 10y = 40
Dividing both sides by 10
=> y = 4
Now putting y = 4 in eq(2)
=> x = 2+4
=> x = 6
Answer:
[tex]4\\6[/tex]
Step-by-step explanation:
[tex]7x+3y=54\\x=y+2[/tex]
[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]
[tex]x=y+2\\x=4+2\\x=6[/tex]
Lucas is selling ribbons to raise money—PLEASE HELP will mark brainliest
Answer:
184
Step-by-step explanation:
46 divided by .25
Answer:
200 Ribbons
Step-by-step explanation:
To break even Lucas needs to sell 200 ribbons --> this is because, =>
let's make an expression for this equation -->
x = amt. of ribbons
y = expense or revenue
x(0.25) = y + x(0.02)
Let's plug he given in --> 0.25x = 46 + 0.02x -->
now we can solve => x = 200
Hope this helps!
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
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can anyone help pls. 10 points
Answer:
There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)
Step-by-step explanation:
[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]