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Radda [10]
4 years ago
15

Q ##10 please I need help with this

Mathematics
1 answer:
algol [13]4 years ago
3 0

Here we are given the inequality:

y\geq4x-5

Let us check for each ordered pair that satisfies the given inequality.

1. (3,0)

LHS: y

here y is 0.

So LHS is 0.

RHS: 4x-5

plugging x as 3,

4(3)-5 = 7

0≥7

False

So (3,0) does not satisfy the inequality.

2. (1,1)

LHS: y

here y is 1.

So LHS is 1.

RHS: 4x-5

plugging x as 1,

4(1)-5 = -1

1≥-1

True

So (1,1)  satisfy the inequality.

1. (3,4)

LHS: y

here y is 4.

So LHS is 4.

RHS: 4x-5

plugging x as 3,

4(3)-5 = 7

4≥7

False

So (3,4) does not satisfy the inequality.

1. (2,1)

LHS: y

here y is 1.

So LHS is 1.

RHS: 4x-5

plugging x as 2,

4(2)-5 = 3

2≥3

False

So (2,1) does not satisfy the inequality.

Answer: (1,1) is the solution of the given inequality.

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If the domain of f(x)=-x² is integer values of x such that -3≤x<0, find the range.
slamgirl [31]

The range is the resulting y-values we get after substituting all the possible x-values.

\text{The domain:}\\\\-3\leq x < 0\to\{-3,\ -2,\ -1\}\\\\\text{The range:}

Substitute the values of x to the equation of the function:

f(-3)=-(-3)^2=-9\\\\f(-2)=-(-2)^2=-4\\\\f(-1)=-(-1)^2=-1\\\\\boxed{\{-9,\ -4,\ -1\}}


8 0
3 years ago
The original price was $20,000 the sales price was $18,000 what is the percent discount
lord [1]

Answer:

10 percent :)

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 20000 × 10/100

Discount = 20000 x 0.1

You save = $2,000.00

Final Price = Original Price - Discount

Final Price = 20000 - 2000

Final Price = $18,000.00

i hope this helps! pls stay happy and healthy, friend! :))

3 0
3 years ago
An automobile manufacturer claims that its van has a 39.0 miles/gallon (MPG) rating. An independent testing firm has been contra
Nikolay [14]

Answer:

(1) H0: The mean MPG rating of the vans is 38.8

H1: The mean MPG rating of the vans is not 38.8

(2) The significance level is 2%

(3) The test statistic is -1

(4) The test is two tailed

(5) Fail to reject H0. The mean MPG rating of the vans is 38.8

Step-by-step explanation:

(1) A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing.

An alternate hypothesis is also a statement from the population parameter that negates the null hypothesis and is accepted if the null hypothesis is rejected.

(2) The level of significance is 0.02 (2%)

(3) Z = (sample mean - population mean) ÷ sd/√n

sample mean = 38.8, population mean = 39, sd = 2.2, n = 120

Z = (38.8 - 39) ÷ 2.2/√120 = -0.2 ÷ 0.2 = -1

(4) A two tailed test is identified by the inequality not equal to.

(5) P-value = 1 - cumulative area of the test statistic = 1 - 0.8413 = 0.1587

(6) Fail to reject H0 because the P-value (0.1587) is greater than the significance level (0.02).

6 0
3 years ago
Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca
Ugo [173]

Answer: 20\ cm

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since 1\ m=100\ cm, then the dimensions of the wood board in centimeters are:

Lenght=100\ cm\\\\Width=60\ cm

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5

- Multiply the commons with the lowest exponents:

GCF=2^2*5\\\\GCF=4*5\\\\GCF=20

Therefore, the side lenght of each square must be:

s=20\ cm

7 0
3 years ago
Keisha and Angelica bought a basket of apples. Keisha bought 5 4 pounds. If together, they bought 19 4 pounds of apples, how man
bekas [8.4K]

Answer:

1. C 2.B .  

Step-by-step explanation:

answer : 1. A+ 5/4 +19/4 ,,,,, 2. 14/4 = 7/2

Hope it helps :)

8 0
3 years ago
Read 2 more answers
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