How many eighths are there in six and three quarters

Answers

Answer 1

Answer: that questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
= 6 + 3/4
= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters

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Which of the following is the graph of f(x) = x2 − 5x + 4?

Answers

Answer:

refer attachment for the graph.

Step-by-step explanation:

Given: The equation $f(x)=x^2-5x+4$

We have to draw the the graph for the given equation.

Consider the given equation $f(x)=x^2-5x+4$

The vertex of the parabola of the form $f(x)=ax^2+bx+c$ is given by $x=-(b)/(2a)$

Here, a = 1 , b = -5 and c = 4

Thus, vertex is

$x_v=-(\left(-5\right))/(2\cdot \:1)=(5)/(2)$

Also, the y coordinate at $x=(5)/(2)$ is

$y_v=\left((5)/(2)\right)^2-5\cdot (5)/(2)+4$

Simplify, we get,

$y_v=-(9)/(4)$

Thus, The vertex of parabola is $\left((5)/(2),\:-(9)/(4)\right)$

y - intercept is the point where x = 0

Plug x = 0 in given equation $f(x)=x^2-5x+4$

$f(0)=0^2-5(0)+4=4$

Thus, y - intercept is (0,4)

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

$x^2-5x+4=0$

Solving the given quadratic equation using quadratic formula ,we have

$x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)$

we have a = 1 , b = -5 and c = 4

$x_(1,\:2)=(-\left(-5\right)\pm √(\left(-5\right)^2-4\cdot \:1\cdot \:4))/(2\cdot \:1)$

Simplify, we have,

$x_(1,2)=(5\pm√(9))/(2)$

Thus, $x_1=4, x_2=1$

Thus, The x - intercept are (4,0) and (0,1)

Plot the graph and we obtain as shown below.

I made a graph of the equation hope this helps.

The diagonals of a rhombus have lengths of 8 centimeters and 6 centimeters what's the perimeter of the rhombus

Answers

Diagonal 6cm = 3cm + 3cm = legs of right triangle within rhombus.
Diagonal 8cm = 4cm + 4cm = legs of right triangle within rhombus.
We need to find the side of the rhombus using the Pythagorean Theorem.
After that, we use the formula P = 4s to find your perimeter.
Let s = side of rhombus.
3^2 + 4^2 = s^2

9 + 16 = s^2
25 = s^2
5 = s
Now that we know the side of the rhombus, apply P = 4s.
P = 4(5)
P = 20cm

28 is the perimeter to the rhombus.

HELP ME ASP I NEED A GOOD GRADE ON THIS.

Answers

Answer: Just follow the chart

Step-by-step explanation:

What value of k makes the trinomial x^2- 10x + k a perfect square?

Answers

Answer: 25

Step-by-step explanation: (x-a)² = x² - 2ax + a²

From x² - 10x + k we deduce that 10x = 2·5x and a = 5

Then k = 5²2

write as an equation and solve: when 4 is added to the number that is produced by three times the number p, the result is equal to 25.

Answers

Answer:

3p+4=25

Step-by-step explanation:

3p+4=25

Answer:

Equation is 3p+4=25

p=7

Step-by-step explanation:

Isolate the variable

3p + 4 - 4 = 25 - 4

Simplify

3p = 21

Solve for p

3p/3 = 21/3

p=7

Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of miles

per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the

equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to

complete the trip.

Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve

the equation to determine how many gallons of gasoline he must purchase.