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2 years ago

How many solutions does the system of equations below have? y = 6x − 7 y = 5 3 x + 1 3

Mathematics

1 answer:

True [87]2 years ago

4 0

Answer:

There will be 1 solution to the system of equations.

Step-by-step explanation:

y = 6x - 7

y = 53x + 13

Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.

tadah!

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Skyler, Robert, and Kaitlyn all solve the same exponential problem but have different approaches. Skyler Robert Kaitlyn 729=9 72

lesantik [10]

The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:

Skyler erred by failing to equalize the bases of both sides before equating the exponents.
Robert is right since he equalized the exponents before comparing the bases of the two sides.
Since Kaitlyn made the bases of both sides equal before equating the exponents, she is accurate.

1) SKYLER'S PROCESS:

Skyler wants to resolve the following issue;

Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9

729^(x) = 9

The next thing she did was convert 6x to 9.

Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.

So Skyler is wrong.

2) ROBERT'S PROCESS:

Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

Thus; Robert is correct

3) KAITLYN'S PROCESS:

Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.

Learn more about laws of exponents here:

brainly.com/question/11761858

#SPJ10

7 0

1 year ago

According to the 2010 census The state with the fewest people is Wyoming with a population of 563,626. Write the number that is

KiRa [710]

Answer:

573,626

Step-by-step explanation:

563626 + 10000 = 573626

8 0

2 years ago

Classify each of the following numbers as real, whole, integer, rational or irrational. Some numbers will have more than one cla

Colt1911 [192]

Answer:
1). -98 (integer, real number, rational)
2). 1.98 (real, rational)
3). 1270 (whole, real, integer, rational)
4). 1,232,323 (whole, real, integer, rational)

3 0

2 years ago

PLZ HELP ME ASAP PLZ PLZ PLZ!!!!! I NEED LOTS OF HELP!!! I USED 40 POINTS

cupoosta [38]

First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, $\frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}$

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35

multplies his number by john and gets 12/35
(a/b)(david)=15/7

hmmm

(b/a)(david)=12/35 and
(a/b)(david)=15/7

if we divide them then we do
$\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=$
$\frac{b^2}{a^2}=\frac{84}{525}=$
$\frac{b^2}{a^2}=\frac{4}{25}$
square root both sides
$\frac{b}{a}=\frac{2}{5}$

therefor
b=2 and a=5

john's number is a/b=5/2
sarah's number is 2/5

david, hmm

sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7

check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true

sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7

6 0

2 years ago

What value of a makes the equation true 3(a+1.5)=-1.5

Mariana [72]

3* (a + 1,5) = - 1,5 [:3
a + 1.5 = - 0,5
a = - 0,5 - 1.5 = -2

7 0

2 years ago

Read 2 more answers