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3 years ago

Solve each quadratic equation. Show your work.

Mathematics

1 answer:

umka2103 [35]3 years ago

5 0

14. 2x-1 = 0, x+7=0
x = 1/2, x = -7

15. x^2 + 3x - 10 = 0
(x + 5)(x - 2) = 0
x = -5, x = 2

16. x^2 - 25 = 0
(x-5)(x+5)
x = 5, x = -5

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Martha has saved 2,700 to share with her family . She divides one -third of her saving equally between her two children , lola a

VikaD [51]

Answer:

150

Step-by-step explanation:

one third of 2700 = 900

900/2 = 450

450/3 = 150

6 0

3 years ago

What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24

almond37 [142]

Answer:

The fraction is $\frac{9}{15}$

Step-by-step explanation:

$\frac{36}{60}$ = $\frac{x}{y}$

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So $\frac{x}{y}$ = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is $\frac{9}{15}$

5 0

3 years ago

In her metalwork class, Anja cut a square of

Paul [167]

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

$Area=a^2$

Where, a is the edge of the square.

Area of the smaller square is:

$A_1=(3.7)^2$

$A_1=13.69$

Area of the larger square is:

$A_2=(6.3)^2$

$A_2=39.69$

The area of the remaining tin is:

$A=A_2-A_1$

$A=39.69-13.69$

$A=26$

Therefore, the area of the remaining tin is 26 sq. cm.

8 0

2 years ago

State the type of hypothesis test to be used in the following situation: Researchers hoped to determine whether time spent watch

Vikki [24]

Answer:

t-test for difference in slopes

no association exists

Step-by-step explanation:

t-test can be used to determine signifiance in difference in slopes of of fit vs time and not fit vs time graph

The data shows that as number of hours spent watchnig television increases, there is no increasing or decreasing trend in number of people fit or not fit. The number of people fit or not fit seems to be distributed around 629 for 1-2 hours of watching television. There trend is not consistent in both cases with increasing number of hours

7 0

3 years ago

Gloria decides to buy 4 ferns, 2 Palms, 10 Lilies and 8 shrubs. To show the total

Vadim26 [7]

Answer:

$Total Plants = 4F + 2P + 10L+ 8S$

$Total Plants = 2(2F + P + 5L+ 4S)$ --- Distributive property

Step-by-step explanation:

Given

Ferns = 4

Palms = 2

Lillies = 10

Shrubs = 8

Required

Show the total cost of plants as an expression

Shorten it using the distributive property

First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;

So, 4 Ferns = 4F

2 Palms = 2P

10 Lilies = 10L

8 Shrubs = 8S

Total Plants = Summation of the above parameters

$Total Plants = 4F + 2P + 10L+ 8S$

The above expression represents the total plants bought;

Now, to apply the distributive property; we simply look for a common factor;

In this case, the common factor is 2;

So, $Total Plants = 4F + 2P + 10L+ 8S$ becomes

$Total Plants = 2(\frac{4F}{2} + \frac{2P}{2} + \frac{10L}{2}+ \frac{8S}{2})$

$Total Plants = 2(2F + P + 5L+ 4S)$

7 0

2 years ago