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3 years ago

2. Match the graph with its equation.

Mathematics

2 answers:

IgorLugansk [536]3 years ago

8 0

Option D is the correct answer

mamaluj [8]3 years ago

8 0

Answer:

It is option D. -6x + 2y = 12

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Gloria sold 78 apples, Berta sold 4 less than 9 times as many apples as Gloria. How many apples did Berta Sell?

slega [8]

Answer:

698 apples

Step-by-step explanation: 78*9 equals 702. She sold 4 less than that so you need to subtract 4. 702-4=698 apples Berta sold.

5 0

3 years ago

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

3 0

3 years ago

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A card is Chosen at random from a deck of 52 cards it is replaced and a second card is chosen what is the probability both cards

ankoles [38]

There are 4 aces in a deck of 52 cards. the odds of drawing one is 1/13. the probability of doing it again is still 1/13. the odds of doing it twice, as described, is then 1/13 * 1/13, or (1/13)², or 1/169 option A

6 0

3 years ago

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Solve this n get pts :)

Simora [160]

D+100+40=180
d=180-100-40=40 (sum of all angles)
e= 100+40= 140 (exterior angle)
180-140=40
C+50+40=180
C=180-50-40= 90 (right angle)
A=50
B=180-90-50= 40

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2 years ago

Unit rate 20kg and 10$

Nana76 [90]

2 kilograms per dollar

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2 years ago

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