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Fed [463]
3 years ago
12

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle

r number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
Mathematics
2 answers:
aev [14]3 years ago
5 0
Let the smaller number be x.
Let the bigger number be y.

\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y- 7 = 2x \tex{ ----- (2) } \end{cases}

Rearrange equation (2):
\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y = 2x + 7 \tex{ ----- (2) } \end{cases}



Sub (2) into (1):

4x + 3(2x + 7 ) = 31
4x + 6x + 21 = 31
10x + 21 = 31
10x = 10
x = 1

Sub x = 1 into (2):

y = 2x + 7
y = 2(1) + 7
y= 9

Answer: The two numbers are 1 and 9.

Gelneren [198K]3 years ago
3 0
4x+3y=31

y-7=2x

(y-7)/2=x
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3.) SOLVE FOR X.
gayaneshka [121]

The value of x in the secants intersection is 1 units

The value of NM in the tangent and secant intersection is 51 units

<h3>How to find length when secant and tangent intersect?</h3>

The first question, two secant intersect outside the circle.

Therefore,

(6x + 8x)8x = (9 + 7)7

14x(8x) = 16(7)

112x² = 112

x² = 112 / 112

x = √1

x = 1

The second question, tangent and secant intersect,

Therefore,

(x + 3)² = (x - 3)(16 + x - 3)

(x + 3)² = (x - 3)(x + 13)

(x + 3)(x + 3) = (x - 3)(x + 13)

x² + 3x + 3x + 9 = x² + 13x - 3x - 39

x² + 9x + 9 = x² + 10x - 39

x² - x² + 9x - 10x = -39 - 9

-x = - 48

x = 48

NM = 48 + 3 = 51 units

learn more on secant and tangent here: brainly.com/question/12477905

#SPJ1

6 0
1 year ago
Which irrational number can be multiplied by –StartRoot 41 EndRoot to get a product that equals 1?
Marta_Voda [28]

Answer:

StartRoot StartFraction 1 Over 41 EndFraction EndRoot

Negative StartRoot 41 EndRoot

Negative StartRoot StartFraction 1 Over 41 EndFraction EndRoot

StartRoot 41 EndRoot

5 0
2 years ago
Why is 4b-7-3b+9 equal to b+2
rodikova [14]
The first expression can be simplified by combining like terms.

First, the terms "4b" and "-3b" can be combined to form "b"
Then, the terms "-7" and "9" can be combined to form "2"

Finally, we simply put these two final terms together, to form "b+2"

Hence, 4b-7-3b+9 is equal to be + 2.

Hope this helps!
8 0
2 years ago
I need help please in the number 2
ANEK [815]
2x3=6
3x2=6
6 divided by 2=3
6 divided by 3=2
7 0
3 years ago
if p(x) = x+ 7/ x-1 and q (x) = x^2 + x - 2, what is the product of p(3) and q(2)? a. 50 b. 45 c. 40 d. 20 e. 6
Amanda [17]

Answer:

d. 20

Step-by-step explanation:

To answer the question given, we will follow the steps below:

we need to first find p(3)

p(x) = x+ 7/ x-1

we will replace all x by 3 in the equation above

p(3) = 3+7 / 3-1

p(3) = 10/2

p(3) = 5

Similarly to find q(2)

q (x) = x^2 + x - 2,

we will replace x by 2 in the equation above

q (2) = 2^2 + 2 - 2

q (2) = 4 + 0

q (2) = 4

The product of p(3) and q(2)   =   5 × 4   = 20

6 0
2 years ago
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