Answer:
d. 3/5x−3/7
Step-by-step explanation:
Use distributive property.
3(1/5x−1/7)(3×1/5x) - (3×1/7)3/5x - 3/7∴ choice d. 3/5x−3/7 is correct.
how do you convert y=-2x²+4x-1 into vertex form
Answer:
y = –2(x – 1)² + 1
Step-by-step explanation:
Given the quadratic function, y = -2x²+ 4x - 1:
where a = -2, b = 4, and c = -1
The vertex of a parabola is the point on the graph where the parabola intersects the axis of symmetry. The axis of symmetry occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula:
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-4}{2(-2)} = 1[/tex]
Therefore, h = 1.
Next, to find the k, plug in the value of h into the original equation:
k = -2x²+ 4x - 1
k = -2(1)²+ 4(1) - 1
k = 1
Therefore, the value of k = 1.
The vertex (h, k ) occurs at point (1, 1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
y = a(x - h)² + k
a = determines whether the graph opens up or down; it also makes the parent function wider or narrower.
If a is positive, the graph opens up. If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (1, 1) into the vertex form:
y = –2(x – 1)² + 1
This parabola is downward facing, with its vertex, (1, 1) as its maximum point on the graph.
How do you do ratios/rates? I’m just confusing on some of the steps but other than that I would like it if you put step by step and not only give me the answer!
lets say that you are selling lemonade, and for every glass, you make 4 dollars, then your ratio would be 1:4 and so on. Does this help?
Step-by-step explanation:
In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the
bond?
Answer:
Principal = $1800
Step-by-step explanation:
[tex]594 = \frac{p \times 5.5 \times 6}{100} [/tex]
[tex] \frac{594 \times 100}{5.5 \times 6} [/tex]
59400/33 = p
1800 = p
solve the following problem below
Answer:
i think its -186,624
Step-by-step explanation:
if i did it right this is the answer bc you do powers first and then multiply
Fill in the missing value in the given equivalent ratios.
6:5=:___:45
Answer:
54
Step-by-step explanation:
6/5:?/45
5x9=45 so 6x9=54
Pls MARK BE BRAINLIEST :)
The missing value in the ratio that we have in the question is obtained as 54.
What is a ratio?To find the missing value, we can set up a proportion using the given equivalent ratios.
The equivalent ratios are 6:5 and ___:45.
We can write the proportion as:
6 / 5 = ___ / 45
Let the missing number be x in the expression that has been written in the question or problem that we have here thus we have that;
6/5 = x/45
x = 6 * 45/5
x = 54
Thus we would have the missing value that is here as 54.
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10⁴ metres at a speed of 2.5 km/h.
Answer:
10000 = 10km
10 / 2.5 = 4 hours
how much does 2lb for 3.38$ cost
2. Lin and Andre biked home from school at a steady pace. Lin biked 1.5 km and it took her 5 minutes. Andre biked 2 km and it took him 8minutes. a.Draw a graph with two lines that represent the bike rides of Lin and Andre. b.For each line, highlight the point with coordinates and find. c.Who was biking faster?
For a given function f(x) = x^2 - x + 1, the operation -f(x) = -(x^2 - x +1) will result in a
A. horizontal shrink
B. reflection across the y-axis
C. vertical shrink
D. reflection across the x-axis
Answer:
D. reflection across the x-axis
write 9 in exponential form
Answer:
3^2 should work.
Step-by-step explanation:
Answer:
[tex]3^{2} =9[/tex]
Step-by-step explanation:
Determine whether the triangle is a right triangle. Explain your reasoning. If it is not a right triangle, determine whether it is acute or obtuse.
Answer:
If it's Jose, Brad, and Ed it's an acute triangle, it has no 90 degree angle, if it's Jose, James, and Malcolm it is a right triangle because the line to Jose and Malcolm is straight I think not sure how to explain
Step-by-step explanation:
please answer this, I don need it worked out just the answer.
PLZZZZZZZZZZZZZZ HELPPPP
WILL GIVE BRAILIEST
What is the most likely outcome on a chemical reaction in a cell if the shape of an enzyme changes?
A.The enzyme will no longer work with the substrate.
B.The enzyme will be able to bond with a different type of substrate.
C.Different products will result.
D.The substrate can change its shape to match the new enzyme shape.
What is the solution to x^2 + 12x + 41 = 0 when written in the form a ± bi?
Answer:
-6 ± √5i
Step-by-step explanation:
What do you already know about your future healthcare career that will require you to calculate and apply solutions to mathematical equations on the job?
Answer:
Surgery, injections, medicine description.
To know more about the medical technology, here
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how do i distribute it into a simpler problem so i can find the sum.
Answer:
you multiply through parenthesis
Step-by-step explanation:
ex.
3(3x+4)=48
9x+12=48
-12. -12
9x=36
9x/9. 36/9
x=4
I think this is what you are asking but I'm not for sure
Question is attached.
NO SPAM ALLOWED!
Step by step explanation needed!
Answer:
4
Step by step explanation:
Refer to the Attachment for steps.
Answer:
4
Step-by-step explanation:
Refer to the attachment for proof
Marking as brainliest!!!
How do you determine where to place the decimal point in the product( please quick i have 10 other q to answer)
Answer:
Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.
1. Find the slope of the line.
Answer:
1/2
Step-by-step explanation:
Hey can anyone help with this question please and thank you
(x-3) + (x+5) = 180°
2x + 2 = 180° --> Subtract 2 from both sides
2x = 178° --> Divide both sides by 2
x = 89°
☆Proof your answer☆
(89 - 3) + (89 + 5) = 180
86 + 94 = 180 ✅
How many way can 3 benches and 6 lamps be chosen from a shipment of 9 benches and 14 lamps?
Answer:
benches 3 and lamps 2 with 2 left over
Hope i helped! :D
Step-by-step explanation:
42×63 = dash
please say me the answer
Answer:42x63 =2646
Step-by-step explanation:r u asking whats 42x63?
What is 4 - 1 1/4 + 1/2
A) 2 7/16
B) 2 7/16
C) 2 1/4
D) 3 1/4
Answer: D-3 1/4
Step-by-step explanation:4 - 11 / 4 +1/2
2 3/4 + 1/2
4 - 2 + 1/2 +1/2 +1/4
2 + 1 + 1/4
3 1/4
Now
4-1.25+1/24-1.25+0.54.5-1.253.253 1/4cathleen planned to walk her dog for 3/4 f a mile after it started to rain she decided to only walk 1/2 of that distance what fraction of a mile did cathleen walk her dog
Answer:
Cathleen walked 3/8 mile.
Step-by-step explanation:
Since we are trying to find 1/2 of 3/4, we'll start by converting 3/4 into a form where we can find 1/2, becuase 1.5/4 is not a valid answer.
The simplest form other than 3/4 would be 6/8, we'll get that by multiplying 3 by 2 and 4 by 2. We just need to find half of 6, which is 3. Therefore, Cathleen walked 3/8 mile.
What is the definition of a relation? plzzzzzzz help meeeeee
the rules applied to a number
a set of data with a defined rule
ordered pairs where each x-value is paired with only one y-value
an association between two sets of data
Answer:
an association between two sets of data
Evaluate the function f(x) = -7x + 2 at f(-18).
Answer:
128
Step-by-step explanation:
-7x+2 = -18(-7)+2=126+2=128
Rewrite as an exponential equation.
Step-by-step explanation:
The first technique we will introduce for solving exponential equations involves two functions with like bases. Recall that the one-to-one property of exponential functions tells us that, for any real numbers b, S, and T, where
b
>
0
,
b
≠
1
,
b
S
=
b
T
if and only if S = T.
In other words, when an exponential equation has the same base on each side, the exponents must be equal. This also applies when the exponents are algebraic expressions. Therefore, we can solve many exponential equations by using the rules of exponents to rewrite each side as a power with the same base. Then we use the fact that exponential functions are one-to-one to set the exponents equal to one another and solve for the unknown.
For example, consider the equation
3
4
x
−
7
=
3
2
x
3
. To solve for x, we use the division property of exponents to rewrite the right side so that both sides have the common base 3. Then we apply the one-to-one property of exponents by setting the exponents equal to one another and solving for x:
3
4
x
−
7
=
3
2
x
3
3
4
x
−
7
=
3
2
x
3
1
Rewrite 3 as 3
1
.
3
4
x
−
7
=
3
2
x
−
1
Use the division property of exponents
.
4
x
−
7
=
2
x
−
1
Apply the one-to-one property of exponents
.
2
x
=
6
Subtract 2
x
and add 7 to both sides
.
x
=
3
Divide by 3
.
A GENERAL NOTE: USING THE ONE-TO-ONE PROPERTY OF EXPONENTIAL FUNCTIONS TO SOLVE EXPONENTIAL EQUATIONS
For any algebraic expressions S and T, and any positive real number
b
≠
1
,
b
S
=
b
T
if and only if
S
=
T
HOW TO: GIVEN AN EXPONENTIAL EQUATION OF THE FORM
b
S
=
b
T
, WHERE S AND T ARE ALGEBRAIC EXPRESSIONS WITH AN UNKNOWN, SOLVE FOR THE UNKNOWN
Use the rules of exponents to simplify, if necessary, so that the resulting equation has the form
b
S
=
b
T
.
Use the one-to-one property to set the exponents equal to each other.
Solve the resulting equation, S = T, for the unknown.
Abc is a right-angled triangle d lies on bc, and dc=db Bc=14 cm
Answer: 19.78
Step-by-step explanation:
Are you trying to use the Pythagorean theorem? If so, here.
Since the two legs are the same, you use one multiplication equation.
14 x 14=196
196+196= 392
Square root 392: Aproximately 19.78
need help fast plz :)
Answer:
x=1 , -9/4
Step-by-step explanation: