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luda_lava [24]
3 years ago
11

"Solve each equation. Remember to check for extraneous solutions."

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
Determine the defined range k=0
move expression to the left side and change its sign so it would be the problem = 0 

write all numerators above the least common denominator 6k (*2*)-Squared 
calculate the sum or the difference

check the solution in the defined range

hope this helped you 




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José collects stamps. He has 7 used stamps for every 4 new stamps. If he has 28 new stamps, how many used stamps does he have?
jenyasd209 [6]

Answer:

José has 49 used stamps

Step-by-step explanation:

7 used stamps for every 4 new stamps

To solve this type of problem, we can use a ratio

7 : 4 ratio

He has 28 new stamps

7 : 4 = x : 28

Ratios can be written as fractions

\frac{7}{4} = \frac{x}{28}

Cross multiply

4x = 7(28) = 196

Divide by 4 on both sides

x = 49

Hope this helps :)

3 0
3 years ago
The table shows the number of boys and girls who signed up for certain summer classes.
Makovka662 [10]

Answer:

Music and Dance

Step-by-step explanation:

When looking at the numbers for each class u want to add up the numbers. When u get the answers look for the two numbers witch are the closes to each other.

7 0
2 years ago
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
allochka39001 [22]

Answer:

a) The test statistic is z = -2.51

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

H_a: p_{B} - p_{NY} < 0

While the null hypothesis is:

H_0: p_{B} - p_{NY} = 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that X = 0.581 - 0.832 = -0.251

0 is tested at the null hypothesis:

This means that \mu = 0

Standard error = 0.1

This means that s = 0.1

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-0.251 - 0}{0.1}

z = -2.51

The test statistic is z = -2.51

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

5 0
3 years ago
How to factorised quadratics<br>in simple form thank you
photoshop1234 [79]

Answer:

ax²+ bx + c = 0

Step-by-step explanation

Multiplying (x+4) and (x−1) together (called Expanding) gets x2 + 3x − 4 :


expand vs factor quadratic


So (x+4) and (x−1) are factors of x2 + 3x − 4


Just to be sure, let us check:


(x+4)(x−1)  = x(x−1) + 4(x−1)

 = x2 − x + 4x − 4

 = x2 + 3x − 4 yes

Yes, (x+4) and (x−1) are definitely factors of x2 + 3x − 4




6 0
3 years ago
Using the diagram, calculate the values of the unknown variables: a, b, and c.
Lady_Fox [76]

Answer:

a = 82

b = 130

c = 118

Step-by-step explanation:

A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

a° + 98° = 180°

a° = 180° - 98°

a° = 82°

a = 82

By inscribed angle theorem:

a° = 1/2(b° + 34°)

82° * 2 = b° + 34°

164° - 34° = b°

b° = 130°

b = 130

Again by inscribed angle theorem:

76° = 1/2(c° + 34°)

76° *2 = c° + 34°

152° - 34° = c°

c° = 118°

c = 118

3 0
3 years ago
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