Answer:
Vertex: (-1,7)
Equation of the axis of symmetry: x = -1
y-intercept: (0, 5)
Step-by-step explanation:
I will assume that the function is quadratic where it is supposed to be y = -2x² - 4x + 5.
The standard form of quadratic functions can be written as
y = ax² + bx + c
To find the vertex of this function, we need the axis of symmetry (aos).
aos = - b/2a
= - ( -4/-4)
= - 1
Axis of symmetry: x = -1
For the vertex, simply plug in the aos into the function.
f(x) = -2x² - 4x + 5
f(-1) = -2(-1)² -4(-1) + 5
= -2 + 4 + 5
= 7
Vertex: (-1, 7)
Now the y-intercept is the easiest part, since the function is written in standard form. When it is, the y-intercept is always (0, c), which in this case is (0, 5).
y-intercept: (0,5)
Please help me solve this, I will give you brainliest
2008 payan walang yan ha kaya mo yan
Consinulas is good at 2k
Answer:
1
Step-by-step explanation:
Use the SOH-CAH-TOA method.
We are given an angle (37°).
We know a side that is opposite of the angle.And we are trying to find the hypotenuse.
So we use SOH
[tex] \sin(x) = \frac{o}{h} [/tex]
[tex] \sin(37) = \frac{0.6}{h} [/tex]
Isolate h
[tex]h = \frac{0.6}{ \sin(37) } [/tex]
Which gives us 1.
So the answer is 1.
find the average speed of a man that travel in 120km in 5hrs
Answer: 24 km/hour
Step-by-step explanation: 120/5= 24
Which of the following functions will represent $500 placed
into a mutual fund yielding 10% per year for 4 years.
• A = 500(.10)^4
• A = 500(1.1)^4
• A = 500(4)(.10)
• A = 500(1.04)^10
Answer:
the answer is the first one
Step-by-step explanation:
The functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is A = 500(1.1)^4
what is Compound Interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
given:
P= $500
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 500.00[tex](1 + 0.1/1)(1)^4[/tex]
A = 500.00[tex](1.1)^4[/tex]
A = $732.05
Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is A = 500(1.1)^4
Learn more about Compound Interest here:
https://brainly.com/question/14295570
#SPJ2
In the figure below,
What is the value of x?
Answer: 16 degrees
Step-by-step explanation:
(3x + 18) = 66
Because vertically opposite angles are equal
66 - 18 = 48
48 divided by 3
=16
50 points for this!!!!!
Part I: Evaluate f(0).
A. Identify the function that will be used when x = 0. (1 point)
B. Find the value of this function when x = 0.
Answer:
A. x^2 x ≤ 1
B. value=0 because (0)^2=0
Mr. Peters has 40 Bible students. Of the students, 3/4 of them are boys. How many are boys?
Answer:
Step-by-step explanation:
40·(3/4)= 10·3= 30 boys are Bible students.
Answer:
The answer would be 30 boys
Step-by-step explanation:
you would divise 40 by 4 which equals 10 and then 10x3=30 and then that would be the andwer to the problem of yours
Find the distance between the points (0,-9) and(4,-6)
Answer:
d=5
Step-by-step explanation:
1. use the distance formula: d=[tex]\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}[/tex]
2. plug in the points: d=[tex]\sqrt{(0-4)^{2} +(-9+6)^{2}[/tex]
3. solve problem inside parentheses: d=[tex]\sqrt{(-4)^{2} +(-3)^{2}[/tex]
4. square -4 and -3: d=[tex]\sqrt{16+9[/tex]
5. add:d=[tex]\sqrt{25[/tex]
6. find square root: d=5
How would A DEF be different if you transformed
A ABC by translating it 5 units down first and then reflect
ing it over the y-axis?
10
A
2
2
A
TC
6
8
10
6
Please helppp
Bro, we go to the same school, I'm reporting you to Mr. Fisher or whoever's homeroom you're in
Which describes a line parallel to the line described by y = –3x + 2?
O y = -3x
O y = (1/3)
O y = 2 - 3x
O y = (1/3)x + 2
Answer:
(1/3x) + 2
Step-by-step explanation:
you need to do the opposite reciprocal of -3x
the opposite sign of - is + so it is positive
the reciprocal of 3 is 1/3
can someone please help?
Answer:
please type the statements it gives u in a comment, we can't see it in the picture
Find the slope of the line that passes through (2, 6) and (-7, 8)
Answer:
-2/9
Step-by-step explanation:
The slope of the line passing through the given points is [tex]\frac{2}{-9}[/tex]
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given are two points (2, 6) and (-7, 8) from which a line passes. We need to find the slope of the line.
We know that, the slope of a line passing through points (x₁, y₁) and (x₂, y₂) = (y₂-y₁) / (x₂-x₁)
In the given points, y₂ = 8, y₁ = 6, x₂ = -7 and x₁ = 2
Therefore, the slope of line = 8-6 / -7-2 = [tex]\frac{2}{-9}[/tex]
Hence, the slope of the line passing through the given points is [tex]\frac{2}{-9}[/tex]
Learn more about slope, click
brainly.com/question/3605446
#SPJ2
• Evaluate the expression
33 • (12 - 2) = 2.
Answer:
33 * (12-2) = 2 is not correct answer the real answer is 330
Step-by-step explanation:
(12-2) = 10
33 * 10 = 330
GIVING BRAINLST MATHHH
Answer:
276.32, 401.92, 1256
Step-by-step explanation:
Volume is equal to the height times the surface of the base. The base is a circle, so its 3.14*(radius)^2. just plug in the values and round to the nearest hundred.
Which decimal number is NOT between the two decimal numbers on the
number line?
0.65
0.70
A
0.659
B
0.67
0.648
Answer:
0.648 I believe, i apoligize if its wrong, hope it goes well!
It takes 8 minutes to cut a board twice. How long does it take to cut the board into 9 pieces
Answer:
36 minutes
Step-by-step explanation:
With the data given, we can calculate that if it takes 8 minutes to cut a board twice then, it takes four minutes to cut one board. We can then determine how long it takes the cut a board into 9 pieces by multiplying 9 x 4 to equal the amount that it takes for a board to be cut into 9 pieces which would be 36.
In conclusion, it would take 36 minutes to cut a board into 9 pieces.
Have a great rest of your day
#TheWizzer
what is The greatest common factor of 42 and 96
Answer:
I think that the answer is 6
The greatest common factor of 42 and 96 is 6 so, option A is correct.
What is GCF?The biggest positive number that divides each of the two or more non-zero integers is known as the greatest common divisor.
Given:
The two numbers are 42 and 96,
Factorize the numbers as shown below,
42 = 2 × 3 × 7
96 = 2 × 2 × 2 × 2 × 2 × 3
Calculate the GCF as shown below,
GCF = 2 × 3
GCF = 6
Thus, the GCF is 6.
To know more about GCF:
https://brainly.com/question/11444998
#SPJ2
Obtain two numbers such their HCF is 20 and their LCM is 300....... BY STEPS!!!! ..
60 ; 100
Step-by-step explanation:Hi there !
HCF = 20 = 4×5 = 2²×5
LCM = 300 = 3×100 = 3×4×25 = 2²×3×5²
LCM/HCF = 2²×3×5²/2²×5 = 3×5
a = 3×hcf = 3×20 = 60
b = 5×lcm = 5×20 = 100
Good luck !
The length and width of a rectangle are in the ratio 3:4. The perimeter of the rectangle is 84 cm. Find the length and width of the rectangle.
The length of the rectangle is 18 cm, and the width is 24 cm as per the concept of perimeter.
Let the length of the rectangle be 3x and the width be 4x, where x is a common factor.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 × (Length + Width)
Given that the perimeter is 84 cm, we can write the equation as:
84 = 2 × (3x + 4x)
Now, let's solve for x:
84 = 2 × 7x
42 = 7x
x = 42 / 7
x = 6
Now that we have the value of x, we can find the length and width of the rectangle:
Length = 3x = 3 × 6
= 18 cm
Width = 4x = 4 × 6
= 24 cm
Therefore, the length of the rectangle is 18 cm, and the width is 24 cm. The length and width are in the ratio 3:4, and the perimeter of the rectangle is indeed 84 cm.
To learn more about the rectangular perimeter;
https://brainly.com/question/22109593
#SPJ3
100 − (x + 2)
100 − (x − 2)
Please compare which is greater?
Answer:
100-(x+2)
Step-by-step explanation:
Answer:
100 − (x - 2)
Step-by-step explanation:
100-(x+2)
100+(-x-2)
-100x-200
100-(x-2)
100+(-x+2)
-100x+200
a bank of 16 floodlights together 4000 watts of power. how much power is used by each bulb?
Answer:
250 watts
Step-by-step explanation:
If 16 floodlights together use 4000 watts of power, each floodlight uses 250 watts.
1. 16 floodlights use 4000 watts together
2. 4000÷16=250
3. 250 watts used by each floodlight
The answer might be incorrect, as power may not be straight forward to calculate with division, but hopefully the explanation helps!
Which statements about the system are true? Check all that apply.
y= -13x - 4
3y-x= -7
a
Both lines have the same y–intercept.
b
The system consists of parallel lines.
c
The equations represent the same line.
d
The system has one solution.
e
Both lines have the same slope.
Answer: D
Step-by-step explanation:
To compare the two lines, we want to a=make sure that they are in the same form.
3y-x=-7 [add both sides by x]
3y=x-7 [divide both sides by 3]
y=1/3x-7
Now that the equations are in the same form, we can compare them.
In order for the equations to have the same y-intercept, the "b" must be the same. The y-intercept for the first equation is -4, while the y-intercept for the second equation is -7. Therefore, A is not the answer.
If the lines are parallel, they must have the same slope. Parallel lines NEVER touch or cross, hence the slope has to be the same. The slope for the first equation is -13, while the slope for the second equation is 1/3. Therefore, B is not the answer.
We know that E is not the answer because the paragraph above proved that the slope are not equal.
We also know that the equations do not represent the same line. If they are the same line, the equations would be identical.
We know that D is the correct answer. A system of linear equaitons can only have ONE solution. We set the equations equal to each other to find the solution. The intersection point is the solution.
Therefore, we know that D is the right answer.
A student has a 2% salt water solution and a 7% salt water solution. To best imitate salt water at a local beach, he needs 1 liter of a 3.5% salt water solution. He defines x as the amount of 2% solution and writes this equation:
0.2x + 0.7(x – 1) = 0.35(1)
He solves the equation and determines that x is about 1.17 liters. He interprets this as needing 1.17 liters of 2% solution to make 1 liter of 3.5% solution
The student clearly made a mistake, because he found that he needs to mix more solution that he wants to end up with. Mixing 1.17 L of one solution with more of some other solution will make more than 1 L of another solution.
The mistake is writing x - 1 instead of 1 - x.
Answer:
The answers:
It’s A & B
A.) The percent values were written incorrectly in the equation.
B.) The amount of 7% solution should be written as 1 – x, not x – 1.
Step-by-step explanation:
Tap the THANKS button
(If helpful)
find the slope of Y=5/4x-7
Answer:
Slope=5/4
Step-by-step explanation:
To figure this out you need to know the equation y=mx+b. (m being slope and b being the y intercept.
Here your m would be 5/4, so 5/4 is your slope.
What is 4⁹+ 4⁷ =
I need help I can’t figure this out
Answer:
278528
Step-by-step explanation:
1st we need to get the 1st 2 values of exponets
4 to the power of 9 is 4x4 9 times and that's 262144,
4 to the power of 7 is 4x4 7 times and that's 16384
16,384 + 262,144 is 278528
Answer: 278,528
Step-by-step explanation:
4⁹+ 4⁷ =
(4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4) + (4 x 4 x 4 x 4 x 4 x 4 x 4)
262,144 + 16,384= 278,528
Solve please 9 to the second power =97 . Is the awnser a rational number ?
Answer:
yes becauss it can be expressed as a ratio
Step-by-step explanation:
100 points!!! (Look at the photo) don’t send links or I’ll report it.
Answer:
The mean of this weeks temp
The mean of last weeks temp
The range of this weeks temp
Step-by-step explanation:
:)
Answer:
1. The mean of this week's temp
2. The mean of last week's temp
3. The range of this week's temp
Step-by-step explanation:
that is what i think
What times 5 is 60, or what times 3 is 39?
Answer:
for the first it is 12 and for the other its 13
Step-by-step explanation:
Answer:
5*12=60
3*13=39
Step-by-step explanation:
(4,3)(-3,1) slope intercept
Answer:
y = 2/7x + 13/7 (slope intercept : y = mx + b)
Given two points (4, 3), and (-3, 1) You can start off with point slope because you are just given points.
Point slope: y - y1 = m(x - x1).
Point 1 : (4, 3) → (x1, y1). Point 2 : (-3, 1) → (x, y).
→ 1 - 3 = m(-3 - 4)
-2 = m ( -7 )
-2 = -7m
2/7 = m
m = 2/7.
Since you have the slope, all you need is one point.
y - 3 = 2/7 ( x - 4 )
y = 2/7 ( x - 4 ) + 3
y = 2/7x - 8/7 + 3
y = 2/7x - 8/7 + 21/7
y = 2/7x + 21/7 - 8/7
y = 2/7x + 13/7
*taydah*
______________
or if you don't like point slope, you can just find the slope between the two points, and then find the y intercept.
m = y2-y1/x2-x1
m = 3-1/4--3
m = 2/7
Then multiply the slope by the x of one of the coordinates, and subtract one of the y values from the coordinates from the slope multiplied by the x of the same coordinate.
let's use (-3, 1)
→ 1 - -3 ( 2/7 )
1 + 3 ( 2/7 )
1 + 6/7
13/7
*Here is the y intercept*.
Then just put this in the form y = mx + b and you are done!
y = mx + b → y = 2/7x + 13/7