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Gnoma [55]
2 years ago
13

A sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d

Mathematics
2 answers:
lukranit [14]2 years ago
5 0

Answer:

  • c= - 4, d = 7

Step-by-step explanation:

<u>Given function:</u>

  • y = x² + cx + d

The vertex is (2, 3)

<u>We know the vertex form:</u>

  • y = (x - h)² + k, where (h, k) is vertex

<u>Substitute coordinates to get:</u>

  • y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7

<u>Compare with given to find out:</u>

  • c = - 4, d = 7
a_sh-v [17]2 years ago
3 0

Answer:

c=-4 d=7

Given function

y=x²+cx+Dd

The vertex is (2,3)

Ke know the vertex form:

y=(x-h)²+k where (h,k) is vertex

Substitute coordinates to get

y=(x-2)²+3=x²-4x+4+3=x²-4x+7

Compare With given to find out:

c=-4, d = 7

CHEERS!

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Artyom0805 [142]

Answer:

3x+3=2x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which number line best shows the position of square root of 7? Number line with numbers negative 4, negative 3, negative 2, nega
kiruha [24]

Answer:

Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 7

Step-by-step explanation:

* Lets explain how to solve this problem

- We want to know the position of √7 on the number line, then:

1- Square the √7

# (√7)² = 7

2- Search 7 is between which two square numbers

# 7 is between 4 and 9 which are square numbers

3- ⇒ 4 < 7 < 9 ⇒ take √ for all

# 2 < √7 < 3

∴ The value of √7 is between 2 and 3

* Lets look to the answer to find the correct answer

∵ The first answer is:

   A dot is made at 1.7 and labeled as square root of 7

∵ 1.7 is not between 2 and 3

∴ The first answer is not true

∵ The second answer is:

   A dot is made at 2.6 and labeled as square root of 7

∵ 2.6 is between 2 and 3

∴ The second answer is true

∴ Number line with numbers negative 4, negative 3, negative 2,

  negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled

  as square root of 7

7 0
4 years ago
Read 2 more answers
Patrick is driving form Sydney to Canberra. He travels for 288km trip in 4 hours. What's his average speed?
nika2105 [10]

Answer:

v = 72 km/h

Step-by-step explanation:

Given that,

The distance covered by the Patrick, d = 288 km

Time taken, t = 4 hours

We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h

So, his average speed is equal to 72 km/h.

3 0
3 years ago
Plz help with this math. Can't find the area of the triangular faces.
Zina [86]
First of all, you have to find the area of both triangles:
\frac{bh}{2}
\frac{4*4}{2}
Or just 16 because there are 2 of the same triangles.

Now you have to find the area of the 3 rectangles.

The two that are in the front are 4*3 (l*h) or 12*2 (because there are 2 congruent rectangles. The area of those rectangles is 24 square mm.

Now you find the area of the back rectangle:
5.7*3 = 17.1

Finally, you add all the found numbers to figure out the surface area.
17.1 + 16 + 24 = 57.1 square millimeters.

Hope this helped,
Loafly
4 0
3 years ago
Bernie owns Bernie’s Bike Shop and is advertising his company by
ale4655 [162]

From the table, the domain are all real numbers and they can be substituted for x to return a valid f(x) value:

  • f(x) = x²
  • Domain = 2, 3, 4, 15 and x.
  • Range = 4, 9, 16, 225 and x².

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

By critically observing the table (see attachment), we can logically deduce that relationship between the amount of ink and the size of the sign is modeled by this function:

f(x) = x²

From the table, the domain are all real numbers and they can be substituted for x to return a valid f(x) value:

  • Domain = 2, 3, 4, 15 and x.
  • Range = 4, 9, 16, 225 and x².

Read more on domain here: brainly.com/question/17003159

#SPJ1

8 0
2 years ago
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