Rewrite the equation in expanded form:
(X+2)^2 -1 = x^2 + 4x + 3
The parabola parameters are : a = 1, b = 4, c = 3
The x vertex is -b/2a = -4/2(1) = -2
Replace x with -2 in the expanded equation to solve for the y vertex:
Y = -1
The vertex is (-2,-1)
x-value of the vertex:-2
Answer:
Solution given:
we have
f(x)=(x+2)²-1
y=x²+4x+3......(I)
parameters of parabola are:
a=1
b=4
c=3
we have
vertex=-b/2a=-4/(2*1)=-2
substitute value of x in equation 1.
y=4-8+3= -1
So
vertex(-2,1)
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
Solve 7x+6<3(x - 2).
Answer:
x<−3
Step-by-step explanation:
hope this works
PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!
Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...
Hint: Write a formula to help you.
1st term+ common difference(desired term-1)
Answer:
the 9th term would be -15
Step-by-step explanation:
A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators
Step-by-step explanation:
answer is in the image above
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior
y = 4 x − 1
y = − x + 4
Answer:
x=1 , y=3
Step-by-step explanation:
y = 4 x − 1
4(y = − x + 4)
y = 4 x − 1
4y= - 4 x +16
5y= 15
y=3
3=4x-1
+1 +1
4=4x
/4 /4
x=1
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T
Answer:
True
Step-by-step explanation:
Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.
* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs
Hope this helps :) Brainliest would be appreciated XD
How did Progressives address the problems caused by industrialization?
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
The equation of a line is expressed as y = mx + b
m is the slope of the lineb is the y-interceptFor the blue line;
m = 1
Since the line cuts the line at y = 1, hence the y-intercept is 1
The required equation of the red line will be y > x + 1
For the red line;
m = 1
Since the line cuts the line at y = -2, hence the y-intercept is -2
The required equation of the red line will be y < x - 2
Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
Learn more on inequality graph here: https://brainly.com/question/9774970
Answer:
B Or y < x – 2 and y > x + 1
Step-by-step explanation:
y < x – 2 and y > x + 1
What is the area of a rectangle with a length of x + 5
and a width of 4?
Answer:
[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]
Brainliest, 40 points
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
stay safe stay happy
Write the quadratic equation in standard form:
-7x+4=x^2
Answer:
x² + 7x - 4 = 0
Step-by-step explanation:
A quadratic equation in standard form is
ax² + bx + c = 0 ( a ≠ 0 )
Given
- 7x + 4 = x² ( subtract - 7x + 4 from both sides )
0 = x² + 7x - 4 , that is
x² + 7x - 4 = 0 ← in standard form
If you can please help me with this question~ the question is the image :)
Answer:
B
Step-by-step explanation:
Start by using the distance formula to find the raidus
The two points are (-2,1) and (-4,1)
√((-4+2)²+(1-1)²)= 2
The radius is two and we have our center which means we can write
(x+2)²+(y-1)²=4
now it's just a matter of expanding everyhting
x²+4x+4+y²-2y-3=0
x²+y²+4x-2y+1=0
This is equal to B
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
Does anyone know the Answer for this
Answer:
The value of y when x = 8 is -8.
Step-by-step explanation:
y = 8 - 2x
y = 8 - 2*8
y = 8 - 16
y = -8
Have a nice day!
Which situation has a probability of 1/2?
A. picking the number “5” from the integers 1 to 10
B. rolling an odd number on a fair 6-sided number cube
C. randomly choosing the letter “s” from the word “Mississippi”
D. randomly choosing a boy out of a class containing 8 boys and 12 girls
Answer:
a
Step-by-step explanation:
1/2 of 10 is 5
Answer: b
Step-by-step explanation:
there are 6 numbers on a regular dice. 3 even, 3 odd
NEED HELP FAST!!!! PLEASE HELP!!
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?
Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
Answer:
B
Step-by-step explanation:
y=e^x+3
Help!!!!!! I Don’t Know The Answer It’s Hard
Answer:
D
Step-by-step explanation:
Have a great summer :)
Answer:
C
Step-by-step explanation:
The slope is negative, so we can exclude the graph A and D
If we substitute y with 2 and x with -3 we have
2 = -4/3 (-3) -2
2 = 4 - 2
2 = 2
the equality is verified so C is the answer
Which of the following is equivalent to 5sqrt 13^3
Answer: D) 13^(3/5)
Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.
Find the gradient of the line segment between the points (-3,2) and (4,4).
Answer:
slope = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]
Answer:
= 2
7
Step-by-step explanation:
slope = y2 - y1
x2 - x1
=4 - 2
4 - -3
= 2
7
y - 4 = 2
x - 4 7
7(y - 4) = 2(x - 4)
7y - 28 = 2x - 8
7y = 2x - 8 + 28
7y = 2x + 20
7 7 7
Gradient = 2
7
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is
Answer:
x = 8 cm
Step-by-step explanation:
Given that,
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.
We need to find the value of x.
In a square, all the sides are equal. So,
PQ = QR
2x +3 = 3x – 5
3+5 = 3x - 2x
x = 8
So, the value of x is equal to 8 cm.
find the measure of angle TFM
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?
Answer:
63 inches tall.
Step-by-step explanation:
60 + 3 = 63.
the correct answer
A school bus has 25 seats, with 5 rows of 5 seats, 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second grade students occupy the first row?
ОА 2P20
OB gPg 20115
oc. gg* 25 C14
OD. SPg ISPIS
Ol. 9Pg x 2g Cis
Answer:
5P5 × 20P15
Step-by-step explanation:
i think...
sorry if im wrong
good luck
identify one solution for this graph
Answer:
y>2/1+-4
Step-by-step explanation:
y> because it's shaded over and since it's not dashes it needs the underline
2/1 because it's goes to the left twice and up once
-4 because that's where it starts
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)