MATHEMATICS HIGH SCHOOL

For what value of x is the rational expression below undefined 2x+4/x-7

Answers

Answer 1

Answer:

Answer:

$x=7$

Step-by-step explanation:

we have

$(2x+4)/(x-7)$

we know that

In the given expression the denominator can not be equal to zero

therefore

To find the value of x for which the expression is undefined. equate the denominator to zero

$x-7=0$

Solve for x

Adds $7$ both sides

$x-7+7=0+7$

$x=7$

Answer 2

Answer: A rational expression is undefined when the denominator equals zero, so we need to make the denominator equal to zero. Set it to zero and solve:
x - 7 = 0
Add seven to both sides:
x = 7

And there's your answer!

Hope I helped, and let me know if you have any questions :)

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Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?A). 1.5 and 2.9B). -0.2 and 2.9C). 2 and 2.9D). -0.2 and 22). What is the solution set of 4x^2-3=11x?A). {-3/4,1}B). {1/4,-3}C). {-1/4,3}D). {3/4,-1}3). What would the graph of g(x)=-(x+2)^2+5 look like?

Evaluate, 2 x (390 - [5 x (10 - 4 divided by 2)] + 15) x 2= ?

Answers

the answer is 1460 because use math equations to break it down

$2 * (390 - [5 * (10 - (4)/(2))] + 15) * 2= x \n 2 * (390 - [5 * (10 - 2)] + 15] * 2 = x \n 2 * (390 - [5 * 8] + 15) * 2 = x \n 2 * (390 - 40 + 15) * 2 = 2 * (365) * 2 = x \n 730 * 2 = x \n 1460 = x$

Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?A. 2/51
B. 3/20
C.1/10
D.4/153

Answers

b- 3/20. first, add up the number of balls in each urn.
urn 1- 10
urn 2- 8
then, make a fraction where the numerator is the number of blue balls in the urn and the denominator is the total number of balls
urn 1- 6/10 (simplified to 3/5)
urn 2- 2/8 (simplified to 1/4)
finally, multiply your two probabilities and simplify
1/4*3/5=3/20

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.If he can eat the whole pie in two minutes, how long does he have to eat each piece

Answers

Answer:

He have to eat each piece in $(1)/(3) \ minute.$

Step-by-step explanation:

Given:

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.

If he can eat the whole pie in two minutes.

Now, to find the time he have to eat for each piece.

So, to solve by using unitary method:

If Brian can eat 6 pieces in = 2 minutes.

Then, he can eat 1 piece in = $(2)/(6)$ $=(1)/(3) \ minute.$

Therefore, he have to eat each piece in $(1)/(3) \ minute.$

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius?a. (-7, -1), 36 units
b. (7, 1), 36 units
c. (7, 1), 6 units
d. (-7, -1), 6 units

Answers

Answer:

option d is correct.

center = (-7, -1)

r = 6

Step-by-step explanation:

The general equation of the circle is given by;

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

where;

(h, k) is the center of the circle

r is the radius of the circle respectively.

As per the statement:

A circle is described by the equation $x^2 + y^2 + 14x + 2y + 14 = 0$

then;

$(x^2+14x)+(y^2 + 2y) + 14 = 0$

Using the completing the square:

$(x^2+14x+7^2-7^2)+(y^2 + 2y+1^2-1^2) + 14 = 0$

⇒ $(x+7)^2 - 49 + (y+1)^2 - 1 + 14 = 0$

⇒ $(x+7)^2+(y+1)^2 -36 = 0$

Add 36 to both sides we have;

$(x+7)^2+(y+1)^2=36$

On comparing with the general equation of circle:

we get;

h = -7 , k = -1 and $r^2 = 36$

⇒ $r = 6$

Therefore, the coordinate of the center of the circle is (-7, -1) and length of the radius of the circle is 6

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$x^2+y^2+14x+2y+14=0 \nx^2+14x+49+y^2+2y+1+14-49-1=0 \n(x+7)^2+(y+1)^2+14-49-1=0 \n(x+7)^2+(y+1)^2-36=0 \n(x+7)^2+(y+1)^2=36 \n(x-(-7))^2+(y-(-1))^2=6^2 \n \Downarrow \nh=-7 \nk=-1 \nr=6$

The center is (-7,-1), the length of the radius is 6 units.
The answer is D.

A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container? A.
7 to 9

B.
7 to 16

C.
9 to 7

D.
16 to 9

Answers

the answer is :
B.
7 to 16

The legs of a right triangle measure 5√2 cm and 4√2 cm. Find the area.

Answers

Area of a triangle = 1/2 × 1st leg × 2nd leg
A = 1/2 × 5√2 × 4√2
A = 1/2 × 20×2
A = 20 cm²

In short, Your Answer would be 20 cm²

Hope this helps!

The area of right triangle=1/2*leg1*leg2=20 cm2

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