All categories

1 year ago

The sum of two numbers is 84. The square of the first number is 6 more than the second number.

Mathematics

1 answer:

DerKrebs [107]1 year ago

4 0

The system of equations to find the value of x, the first number, and y, the second number are;

y = -x + 84

y = x² + 6

<h3>System of equation</h3>

The system of equation are equations that contains more than two equation and unknown.

Let the two unknown numbers x and y

If the sum of two numbers is 84, hence;

x +y = 84

y = -x + 84

If the square of the first number is 6 more than the second number, hence;

x² = y + 6

Substitute equation 2 into 2 to have:

x² = y + 6

x² = (-x+84) + 6

x² = -x+84 + 6

x² +x+84 + 6 = 0

x² +x + 90 = 0

Hence the system of equations to find the value of x, the first number, and y, the second number are;

y = -x + 84

y = x² + 6

Learn more on system of equation here; brainly.com/question/12861087

#SPJ1

You might be interested in

WILL GIVE BRAINLIEST PLZ HURRY

Sedaia [141]

Answer is b.
Now we going to solve it
To find how many refills he bought
8.95 + 1.50(r) = 26.95
-8.95 = -8.95 1. subtract $8.95 from
———————————- both sides.
1.50(r) = 18.00 2. The $8.95 cancels
——— = ——— out.
1.50 1.50 3. Bring the equation
R = 12 down.
4. Now you divide 1.50
on both sides.
Final answer R= 12

6 0

2 years ago

When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation

IgorLugansk [536]

<h3>Answer:-</h3>

Lets Solve

$\\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6$

Ignore negative value

4 0

2 years ago

Please help with this math homework question below.

zlopas [31]

Given:

The given equations are $-6 x+4 y=22$ and $y=11-4 x$

We need to determine the pair of numbers that is a member to the system of equations.

Pair of numbers:

The pair of numbers can be determined by solving the system of equations.

Let us use the substitution method to solve the equations.

Substituting $y=11-4 x$ in the equation $-6 x+4 y=22$ , we have;

$-6 x+4 (11-4x)=22$

$-6 x+44-16x=22$

$44-22x=22$

$-22x=-22$

$x=1$

Thus, the value of x is 1.

Substituting x = 1 in the equation $y=11-4 x$ , we get;

$y=11-4(1)$

$y=11-4$

$y=7$

Thus, the value of y is 7.

Hence, the pair of numbers that is a member of both the equations are (1,7)

4 0

2 years ago

What is 4-2 5/7 i need this fast pls help

bagirrra123 [75]

Answer:

i believe 1 3/7 is the answer! have a great day

Step-by-step explanation:

3 0

2 years ago

Tyrell and Channing both work at the same fast food restaurant. Channing works 5 hours and earns $42.75. Tyrell's earnings are m

kari74 [83]

Answer:

A. Channing makes $8.55 an hour compared to Tyrell who only makes $8 an hour.

Step-by-step explanation:

To find how much Channing makes an hour, divide the amount earned ($42.75) by the hours he worked (5). So, 42.75/5=8.55 which is Channing's hourly wage. Tyrell's hourly wage was already given to us in the equation E=8h. 8 times his hours works= his earnings. 8.55>8.00

3 0

2 years ago