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3 years ago

The vertex of the graph of a quadratic function is (3, 1) and the y-intercept is (0, 10). Which of the following is the

Mathematics

2 answers:

Mashcka [7]3 years ago

5 0

Answer:

C. y = x² - 6x + 10

Step-by-step explanation:

Formula f(x)=a(x-h)²+k (h,k) is vertex

Y=a (x-3)²+1

Plug in y intercept

10=a (0-3)²+1

10=-3²ᵃ+1

10=9a+1

9=9a

a=1

Y=(x-3)² +1

Y=x²-6x+9+1

Y=x²-6x+10

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<h2>Brainliest Please!!!!!!!!!!</h2>

pishuonlain [190]3 years ago

3 0

Answer:

C. y = x² - 6x + 10

Step-by-step explanation:

Formula f(x)=a(x-h)^2+k (h,k) is vertex

Y=a (x-3)^2+1

Plug in y intercept

10=a (0-3)2+1

10=-3^2a+1

10=9a+1

9=9a

A=1

Y=(x-3)2 +1

Y=x2-6x+9+1

Y=x2-6x+10

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Help me show work please

masha68 [24]

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - given point

$\bullet\ (2,\ 7),\ m=-4\\\\y-7=-4(x-2)\\\\\bullet(-6,\ -2),\ m=3\\\\y-(-2)=3(x-(-6))\to y+2=3(x+6)\\\\\bullet(12,\ 5),\ m=-3\\\\y-5=-3(x-12)\\\\\bullet(7,\ -6),\ m=\dfrac{1}{2}\\\\y-(-6)=\dfrac{1}{2}(x-7)\to y+6=\dfrac{1}{2}(x-7)\\\\\bullet(4,\ -5),\ m=6\\\\y-(-5)=6(x-4)\to y=y+5=6(x-4)\\\\\bullet(-8,\ 2),\ m=-\dfrac{3}{4}\\\\y-2=-\dfrac{3}{4}(x-(-8))\to y-2=-\dfrac{3}{4}(x+8)$

8 0

3 years ago

a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.

Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is $a_{n} = a^{n-1} \times r$

Step-by-step explanation:

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

The first term :

In geometric sequence, the first term is given as $a_{1}$ .

⇒ $a_{1} = 612$

Now, the geometric sequence follows as 612, 661, ........

The common ratio (r) :

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

To find the recursive rule :

A geometric series is of the form a,ar,ar2,ar3,ar4,ar5........

Here, first term $a_{1} = a$ and other terms are obtained by multiplying by r.

Observe that each term is r times the previous term.
Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form $a_{n} = a^{n-1} \times r$

This is called recursive formula for geometric sequence.

We know that r = 1.08 and $a_{1}$ = 612.

To find the second term $a_{2}$ , use the recursive rule $a_{n} = a^{n-1} \times r$

⇒ $a_{2} = a^{2-1}\times r$

⇒ $a_{2} = a^{1}\times r$

⇒ $a_{2} = 612\times 1.08$

⇒ $a_{2} = 661$

3 0

4 years ago

The side length of one side of a triangle is 2x -2, the second side is 2x + 3. What is the length of the third side if the perim

Elena L [17]

Answer:

2x + 2

Step-by-step explanation:

2x -2 + 2x + 3 is equal to 4x + 1 to make it 6x + 3 you need to add 2x to the term 4x and you need to add 2 to the term 1 so

2x + 2

8 0

3 years ago

Read 2 more answers

The sale price of a rucksack is £12, its normal price is £32. Write the ratio of the sale price to the normal price in its simpl

ozzi

What is the highest common factor of 12 and 32?
It is 4, so we divide both numbers by 4.
This gives us 3 : 8. This cannot be simplified further, therefore it is the simplest form.

8 0

4 years ago

Solve for x -7(1-8x)=105

Sunny_sXe [5.5K]

-7 + 56x = 105
56x = 105 + 7
56x = 112
x = 2

4 0

4 years ago