MATHEMATICS HIGH SCHOOL

A 32 year old mother realized that her age is twice the sum of her two children ages. Her son Jose is two years older than her daughter sophia how old are sophia (x) and Jose (y) ? help me and explain me pls

Answers

Answer 1
Answer: Again, guess and test should work perfectly fine.  Since 2(x+y)=32, x+y = 16. Because y-2 =x, y could be = 9 and x = 7. Hope that help!
Answer 2
Answer:

 jose is 9 and Sophia is 7 because 32 divided by 2= 16 and 9+7=16 and jose is 2 years older so he has to be nine and she is seven!!! hahaha I figured it out finally

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How do you find the discrimminant in algebra?

Answers

Step-by-step explanation:

the discriminant is the part of the quadratic formula underneath the square root symbol : b2 -4ac . the discriminant tells as whether there are two solutions ,one solution , or no solution....

Which inequality will have a shaded area below the boundary line? A. y - x > 5 B. 2x - 3y < 3 C. 2x - 3y < 7 D. 7x + 2y < 2 E. 3x + 4y > 12

Answers

Answer:
D. 7x + 2y < 2

Explanation:
The two general forma of the inequality are:
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line

Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format

Now, let's check the givens:
y - x > 5
Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect

2x - 3y < 3
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect

2x - 3y < 7
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect

7x + 2y < 2
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct

3x + 4y > 12
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect

As a second solution, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D

Hope this helps :)
When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

Which one of the following numbers is a multiple of 8?A. 512
B. 98
C. 124
D. 27

Answers

A.512 because when you divide it by eight you get 64.
if you divide 512 by 8 you get 64 and 64 is a multiple of 8. so your answer is 512

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.A.) n+n+1=59;n=30;n+1=31
B.) n+2n=59;n=19;2n=38
C.) n+n+1=59;n=29;n+1=28
D.) n+n+1=59;n=29;n+1=30

Answers

An equation that models this situation: n + n +1 = 59 ( two consecutive integers: n, n+1 and their sum is 59)
2 n+1 = 59
2 n = 58
n = 58 : 2
n = 29,   n + 1 = 30
Answer:D) n + n + 1 = 59,  n = 29, n + 1 = 30

Answer:

D) n + n + 1 = 59,  n = 29, n + 1 = 30

Step-by-step explanation:

Write an equation in the form of y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45).

Answers

Answer:

Answer will be :

Y= -15/2x

The sum of 3 consecutive integers is -27. what are the numbers?

Answers

Call x the smallest of the three numbers, then:

x + (x+1) +(x+2) = -27

x + x + 1 + x + 2 = -27

3x+3 =-27
3x = -27 -3
3x = -30
x = -30/3 = -10

The three numbers are: -10, -9 and -8.
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