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3 years ago

use the quadratic formula to find both solutions to the quadratic equation given below. check all that apply 5x^2-x-4=0

Mathematics

1 answer:

Setler79 [48]3 years ago

4 0

Answer:

x = -4/5 and x = 1

Step-by-step explanation:

5x^2 - x - 4 = 0

Factor out x from the expression.

x (5x +4) - 5x -4 = 0

Factor out the negative sign from the expression.

x (5x + 4) - (5x+4) = 0

Factor out 5x + 4 from the expression.

(5x +4) x (x-1) = 0

When the product of factors equal 0, that means atleast one factor is 0.

5x+4= 0

x-1 = 0

Solve the equation for x.

5x + 4 = 0

Minus 4 from both sides.

5x = -4

Divide by 5.

x = -4/5

Solve the equation for x.

x - 1 = 0

Add one to both sides.

x = 1

Therefore, x = -4/5 and x = 1.

You might be interested in

An inscribed angle in a circle intercepts an arc whose measure is greater than 180

never [62]

Answer:

The correct option is;

Never acute

Step-by-step explanation:

When an angle intercepts an ark, we have;

The legs of the angle meets with the endpoints of the arc

Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle

By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle

4 0

3 years ago

Suppose the scores of seven members of a women’s golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midran

Ksenya-84 [330]

The mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

<h3>What is the mean, median, and midrange?</h3>

Mean is the sum total of the number divided by number of terms

Median is the middle number when arranged in ascending or descending order.

Midrange is the average of the sum of the maximum number and the minimum number.

Given that;

Data set: 68, 62, 60, 64, 70, 66, and 72

n = 7

First, we arrange in ascending order.

60, 62. 64, 66, 68, 70, 72

Mean = ( 60 + 62 + 64 + 66 + 68 + 70 + 72 ) / 7

Mean = 462 / 7

Mean = 66

Median = 66

66 is the middle number.

Range = ( Max + Min ) / 2

Range = ( 72 + 60 ) / 2

Range = 132 / 2

Range = 66

Therefore, the mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

learn more on mean, median and mode here: brainly.com/question/9588526

#SPJ1

3 0

2 years ago

Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l

marishachu [46]

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = $\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10$

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = $\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10$

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

4 0

4 years ago

Of Canada's total area of 9,976,140 km² , 755,170 km² is water. To the nearest tenth of percent, what part of Canada is water?

algol13

Answer:

755170/9976140 x 100

= 7.56976 %

= 8 % or (to the nearest 10th 10%) of Canada

Step-by-step explanation:

5 0

3 years ago

Use the associative property to identify which expression is equal to (10)(5x)(7). 1.(7)(5x)(10) 2. 10(5x + 7) 3. (5x)(10)(7) 4.

8090 [49]

Associative property is dealing with parentahsees and orders
it is
a(bc)=(ab)c and
a+(b+c)=(a+b)+c

so we want the multiplication one

given
(10)(5x)(7)
we can arragnge these a number of ways (we should use commutative property, but whatever)

first one works, the 7 was moved to front
2nd is wrong, that is a wierd version of the distributive
3rd is right, 5x was moved to the front
4th is wack, no bueno

answer is 1st and 3rd options

6 0

3 years ago