Answer:
The correct answer is A.
Step-by-step explanation:
We're told that f(x) has its vertex at 5, -5 and opens downward. This tells us that it's axis of symmetry is x = 5.
The format of the function g(x) shows us that its axis of symmetry is x = -5. We're shown this because of the (x + 5)² component.
So the correct answer is A.
Using the properties of the quadratic function we can review the different answers, the correct one is
D. The axis of symmetry of f(x) is x = -5,
the axis of symmetry of g(x) is g(x) = 5.
The quadratic function is a quadratic polynomial that has a parabolic form and a general equation
g (x) = a x² + bx + c
where a, b, c are the coefficients, x is the independent variable and g the dependent
If the function has real roots it can be written in vertex form
g (x) = a (x-h) ² + k
where (h, k) are the coordinates of the vertex
The quadratic function has several properties:
The graph of this function opens up if the coefficient "a" is positive and down if it is negative, The axis of symmetry is parallel to the y axis, passing through the vertex of the function The vertex of the parabola corresponds to the maximum or minimum of the curveThe function can be written as a vertex value that cancels the binomial is where the symmetry axis passes
in this case, for the parabola to open downwards, the curve must be:
g (x) = - (x + 5) ² + 5
this is the expression in vertex form, let's find the value that cancels the binomial,
x + 5 = 0
x = -5
at this point where the axis of symmetry passes
The value of the function for this point is
x = -5
g (x0 = - (-5 + 5) ² + 5
g (x) = 5
Using the properties of the quadratic function we can review the different answers, the correct one is
D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is
g(x) = 5
Learn more about quadratic function here:
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please help! Giving points!
Answer:
Bee
Step-by-step explanation:
Ya like jazz?
The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.
Answer:
The number must be greater than 6.7. Thus, the sum will be negative.
For example, the number could be 7.
6.7 - 7 = -0.3
The number can be in the range - x ∈ (- ∞ , - 6.7)
We have - the sum of 6.7 and a number is negative.
We have to determine the possible value of that number.
For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10For f(x) to be negative -
f(x) < 0
2x + 10 < 0
2x < - 10
x < - 5
x ∈ (- ∞ , - 5)
According to the question, we have - the sum of 6.7 and a number is negative.
Now -
6.7 + x < 0
x < 6.7
x ∈ (- ∞ , - 6.7)
Hence, the number can be in the range - x ∈ (- ∞ , - 6.7).
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how would the numbers 6870000 appear in scientific notation on a calculator screen
Answer: D
Step-by-step explanation:
Round 543,539 to the nearest hundred thousand
Answer:
500,000
Step-by-step explanation:
The nearest hundred thousand is the first 5
In rounding when something is 4 or lower it becomes a zero and if it is 5 or higher it is goes up to the next number for example if it is rounded to the nearest ten, and the number is 338, it would be 340
What is the coefficient of 3y+7?
Answer:
3
Step-by-step explanation:
it's 3 because the number is infront of a variable
55 videos to 77 videos
Answer:
The ratio is 55:77
Step-by-step explanation:
Billy charges $15 to mow yard.He needs at least $200 for the new bycicle that he wants.
Answer:
billy has to mow at least 14 yards
Step-by-step explanation:
200 divided by 15 = about 14
Simplify the expression by combining like terms: -3+7c+c+7+10
Answer:
21 + 2c
Step-by-step explanation:
-3 + 7 + 7 + 10 = 21
c + c = 2c
Evaluate each expression
P + 8 when P = 6
show ya work
Answer:umm so with my super jimmy neutron powers the answer is 14 because since P = 6 the equation turns into 6 + 8=14
what is 9/32 + 7/8 plz help
Answer:
1 5/32
Step-by-step explanation:
First, find common denominators. What you do to the denominator, you must do to the numerator.
First, multiply 4 to both the numerator and denominator of the second fraction:
(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32
Next, add across:
9/32 + 28/32 = 37/32
Simplify. Turn the improper fraction into a mixed fraction:
37/32 = (32 + 5)/32 = 1 5/32
1 5/32 is your answer.
~
Answer:
37 /32
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 8 and 32 is 32
For the 1st fraction, since 8 × 4 = 32,
7 /8 = 7 × 4
8 × 4 = 28 /32
Likewise, for the 2nd fraction, since 32 × 1 = 32,
9 /32 = 9 × 1
32 × 1 = 9 /32
Add the two fractions:
28 /32 + 9/32 = 28 + 9 /32 = 37 /32
So, 7/8 + 9/32 = 37/32
In mixed form: 1 5 /32
Please mark as brainliest!
If x = 8, what is the value of 4x + 6?
I NEED HELP! I’m on a test!!
Answer:
=38
Step-by-step explanation:
Use substitution :3
4(8)+6=38
substitute x to 8 then calculate!
There you'll get your answer.
the required value of expression 4x + 6 is 38 when x = 8.
If x = 8, what is the value of 4x + 6 to be determine.
In mathematics, it deals with numbers of operations according to the statements.
The equation is the relationship between variables and is represented as y = 4x +8 is an example of a polynomial equation.
Here, the expression is given as,
y = 4x + 8
now we have x = 8, put this x in y
y = 4(8) + 6
Solving the equation using the PEMDAS rule of mathematics
1St open the parenthesis of 8 then multiply this 8 by 4.
y = 4*8 +6
y = 32 + 6
Now adding 32 and 6 will give 38
y = 38
Thus, the required value of expression 4x + 6 is 38 when x = 8.
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help me this is due this period please please ill mark brainiest with a bunch of points.
Answer:
(-4,1)
Step-by-step explanation:
The answer is just where the two lines intersect
I'm rather tired so double check me on this but I'm getting about (-4,1) and it's asking for an approximation so think (-4,1) is fine
Answer:
It's around (-4. 5, 1.5). It's somewhere in that range.
15 POINTS-
Karen invented a new product that she makes for $2.45. She sells the
product to Walmart marked up 45%. How much does Walmart pay for the
product?
Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)
Answer: 30 + 45 = 15(2 + 3)
Step-by-step explanation:
The greatest common factor for 30 and 45 will be gotten as follows:
Factor of 30 = 2 × 3 × 5
Factor of 45 = 3 × 3 × 5.
GCF = 3× 5 = 15
Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:
30 + 45 = 15(2 + 3)
Evaluate the following expressions given x=6 and y=-3
a.
[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]
[tex] = 30 + 12[/tex]
[tex] \blue{ = \boxed{42}}[/tex]
b.
[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]
[tex] = 36 - 2[/tex]
[tex] \blue{ = \boxed{34}}[/tex]
c.
[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]
[tex] = {1}^{3} + 9[/tex]
[tex] = 1 + 9[/tex]
[tex] \blue{ = \boxed{10}}[/tex]
=============================Hope it helps
=============================A card is in the shape of a rectangle. The length of the card is 7 cm
and the area of the card is 35 sq cm. What is the width of the card in
centimeters?
lol ok so
7*something or you can make it into a variable x=35
7*x=35
/7 /7
x=5.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Helppp meee pleaseee
Answer:
I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5
Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. 14 ft 11 ft 12 ft - To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?
Answer:
B
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
I did the test.
how do you solve this
PLZ HELP ME ASAP PLZ
Answer:
14
Step-by-step explanation:
5×2²-2-4
5×4-2-4
20-2-4
18-4
14
Answer:
Rewrite the absolute value equation as four equations without absolute value bars.
5z−2=z+65−2=−(z+6)−(5z-2)=z+6−(5z−2)=−(z+6)
After simplifying, there are only two unique equations to be solved.
5z−2=z+65z−2=−(z+6)
Solve
5z−2=z+6 for z.
Tap for more steps...
z=2
Solve
5z−2=−(z+6)for z.
Tap for more steps...
z=−23
List all of the solutions.
z=2,−23
The result can be shown in multiple forms.
Exact Form:
z=2,−23
Decimal Form:
z=2,−0.6
Step-by-step explanation:
it is 0.6
PLEASE I BEG OF YOU TO HELP ME PLEASE
Answer:
its B
Step-by-step explanation:
i did it earlier today
Answer:
A
Step-by-step explanation:
-1x-12≤-4
-x≤8
x≥-8
Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes
Answer:
A
Step-by-step explanation:
i got from USATestprep
find the simple interest on each amount 1500 at 11% for two years
Answer:
330.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 11%/100 = 0.11 per year,
then, solving our equation
I = 1500 × 0.11 × 2 = 330
I = $ 330.00
The simple interest accumulated
on a principal of $ 1,500.00
at a rate of 11% per year
for 2 years is $ 330.00.
write 8,000,000 in scientific notation ?
Answer:
A: 8 x 10^6
Step-by-step explanation:
What is -1 1/3 in a decimal
Answer:
1.333
Step-by-step explanation:
if rounded then it's 0.333
if wrong I apologize
How do I find x in this problem?
Answer:
(6-2)×180 = 720
101+154+72+123+145+x=720
595 + x = 720
x = 720-595
x= 125
Solve the inequality
x2-x-12 < 0
+
Step-by-step explanation:
x2-x-12<0
x2-x<12
x=12
y=2x^2-8x
find a b and c then find the vertex then graph it
Answer:
y=2x2−8x
y=2x2−8x
Step-by-step explanation:
Xmin:
-10
Xmax:
10
Ymin:
-10
Ymax:
10
Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)
Answer:
m=2
Step-by-step explanation:
math is hard
Answer:
2
Step-by-step explanation:
The equation for finding slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Plugging in our values of x and y gives us:
(-4 - 0)/(-2-0) =
-4/-2 =
4/2 =
2