Which of the following is a solution of x2 + 4x = −8?

Answers

Answer 1

Answer: $x^(2)+4x = -8\n\nx^(2)+4x+8 = 0\n\n\Delta = b^(2)-4ac\n\n\Delta = (4)^(2)-4 \cdot (1) \cdot (8)\n\n\Delta = 16-32\n\n\Delta = -16$

There's no solution in the set of real numbers.

$\boxed{S = \{ \ \ \}}$

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Find the greatest common factor of 10y^3, 4y^6, and -18y

Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their 3 ages is 31 years. How old is each one of them?

Answers

let the age of jim be x
carla's age= x+5
tomy's age= 6+5+x
sum of their ages=31
x+x+5+x+5+6=3x+16=31
3x=31-16
=15
x=15 divided by 3
= 5
jim's age=5
carla's age=10
tomy's age = 16

x - Jim
y - Carla
z - Tomy

$y=x+5\n z=y+6\n x+y+z=31\n\n x=y-5\n z=y+6\n x+y+z=31\n\n y-5+y+y+6=31\n 3y=30\n y=10\n\n x=10-5\n x=5\n\n z=10+6\n z=16$

How do you find rhe slope of (12,-18) and (-15,-18)

Answers

slope of 2 points is
if you has the points
(x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

we are given
(12,-18)
(-15,-18)

we can either take shortcut and recocnize that -18-(-18)=0 so that make the slope 0

or we can continue
(-18-(-18))/(-15-12)=0/-27=0

slope=0

you do Y2-Y1/ X2-X1, so -18--18(change sighn so it would be -18+18) which equals 0, then -15-12= -27, 0/-27= 0 so the slope would be 0

Tucker invested $3500 at 2% interest compounded annually. How much interest will he earn in 3 years?

A.$70.00

B.$210.00

C.$214.23

D.$3714.23

Answers

The answer is B you take $3500.00 x 2%= $70.00 in one year, take $70.00 x 3 because it is 3 years, the answer is $210.00

8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe

Answers

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus, 2 pounds of flour are required to make 1 recipe, as of the given condition.

Learn more about simplification here:

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Answer:

1/6

Step-by-step explanation:

ive seen that question b4

3/10 of the fruits at a fruit stall are oranges. The rest are apples and pears. The ratio of the number of apples to the number of pears is 7:4. The total number of pears and apples is 528 more than the number of oranges.How many more apples than pears are there at the stall?

Answers

Answer: 880

Step-by-step explanation:

The graph shows two lines, A and B:A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6. Another straight line labeled B joins the ordered pair 0, 0 and the ordered pair 5, 5.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

A (0, 6) is the solution to both lines A and B.
B(0, 6) is the solution to line B but not to line
C(2, 2) is the solution to both lines A and B.
D (2, 2) is the solution to line A but not to line

Answers

The correct answer for the question that is being presented above is this one: "A (0, 6) is the solution to both lines A and B." The statement that is correct about the solution to the system of equations for lines A and B is that (0, 6) is the solution to both lines A and B.

Answer:

C(2, 2) is the solution to both lines A and B.

Step-by-step explanation:

Line A is given as:

A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.

We know that the equation of a line passing through (a,b) and (c,d) is calculated as:

$y-b=(d-b)/(c-a)* (x-a)$