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3 years ago

What is the vertex of g(x)=x^2-14x+54 ?

Mathematics

1 answer:

Iteru [2.4K]3 years ago

4 0

Use the vertex formula x=-b/(2a) Once you find the x, plug it back in to find the y

You might be interested in

What is the probability of pulling a jack or a heart out of a deck of 52 cards

ikadub [295]

Answer:

=4/13

Step-by-step explanation:

There are 13 hearts in a deck

4 jacks

but 1 is the jack of hearts so we don't double count it

13+4-1 = 16

P( heart or a jack) = jack or heart/ total

= 16/52

=4/13

8 0

3 years ago

What's the zero product property for (x+13)(x-7)=0

umka21 [38]

(x+13)*(x-7)=0
Split into possible cases :
________________________
x+13=0
x-7=0
Solve the equations:
________________________
x= -13
x= 7
Final solution :

8 0

3 years ago

Read 2 more answers

The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random

Pavlova-9 [17]

Answer:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

Step-by-step explanation:

The data given is:

x: 5,5,510,10,10, 15,15,15, 20,20,20

y: 1.6,2.2,1.4, 1.9, 2.4,2.6, 2.3,2.7, 2.8,2.6, 2.9, 3.1

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 150$

$\sum_{i=1}^n y_i =28.5$

$\sum_{i=1}^n x^2_i =2250$

$\sum_{i=1}^n y^2_i =70.69$

$\sum_{i=1}^n x_i y_i =384$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2250-\frac{150^2}{12}=375$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=384-\frac{150*28.5}{12}=27.75$

And the slope would be:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

8 0

3 years ago

(50 points) DOE contains points d(2 3) o(0 0) and e(5 1) which of the following angles are both adjacent and supplementary to DO

Alexxx [7]

Answer:

When you join points D(2,3),O(0,0)and E(5,1) which are not collinear it will form a triangle.

Now , Adjacent of ∠ DOE are [ ∠ ODE and ∠OED] .

As we know that Sum of three interior angles of a triangle is 180°.

∠ DOE + ∠OED+∠EDO = 180°

∠DOE=180°- (∠OED+∠EDO)

Supplementary ,of ∠DOE is (∠OED+∠EDO).

7 0

3 years ago

The sum of three consecutive integers is 765. What equation describes the statement ?

sattari [20]

Answer: $x+(x+1)+(x+2)=756$

Step-by-step explanation:

The consecutive numbers are the numbers which come one after another .

Using Algebraic expressions

Let x be the first number , then the second number would be x+1 and the third number would be x+2.

The given statement : The sum of three consecutive integers is 765.

According to this statement , the equation will become :

$x+(x+1)+(x+2)=756$

Therefore, the equation that describes the statement would be :

$x+(x+1)+(x+2)=756$

4 0

3 years ago