1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brums [2.3K]
2 years ago
13

1. Is (0,9) a solution? y = -3x + 5

Mathematics
2 answers:
nikdorinn [45]2 years ago
6 0

1. Is (0,9) a solution?

y = -3x + 5

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Solution⤵️</h3>

Let us observe the given things;

  • <u>An</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>given</u><u> </u><u>with</u><u> </u><u>variables</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u>
  • <u>The</u><u> </u><u>values</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u><u> </u><u>are</u><u> </u><u>given</u>
  • <u>We</u><u> </u><u>have</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>whether</u><u> </u><u>they</u><u> </u><u>are</u><u> </u><u>the</u><u> </u><u>correct</u><u> </u><u>values</u><u> </u><u>or</u><u> </u><u>not</u>
  • <u>Let</u><u> </u><u>us</u><u> </u><u>verify</u><u> </u><u>if</u><u> </u><u>they</u><u> </u><u>are</u><u> </u><u>a</u><u> </u><u>solution</u><u> </u><u>or</u><u> </u><u>not</u><u>!</u><u>~</u>

\sf ⟾ \:  \red{y =  - 3x + 5}

Plug in the x and y values I.e. x=0 & y=9 respectively

\sf⟾  \: \orange{9 =  - 3 \times 0 + 5}

Multiply the numbers

\sf ⟾ \:  \green{9 = 0 + 5}

Add the numbers

\sf⟾ \:  \blue{9 = 5}

Check the equality

\sf⟾ \:  \purple{9 \cancel = 5}

They are not equal!

<em>Since</em><em>,</em><em> </em><em>They</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>equal</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>conclude</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>coordinates</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>a</em><em> </em><em>solution</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>equation</em><em>!</em><em>!</em><em>~</em>

irinina [24]2 years ago
4 0

Answer:

no

Step-by-step explanation:

to determine if (0, 9 ) is a solution substitute x = 0 into the equation and if the result is 9 then it is a solution

y = - 3(0) + 5 = 0 + 5 = 5 ≠ 9

then (0, 9 ) is not a solution to the equation

You might be interested in
Given cosx=12/13
TiliK225 [7]
1. You have the following information:

 Sinx=5/13

 Cosx=12/13

 2. By definiton, you have:

 Tanx=(Senx)/(Cosx)

 3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:

 Tanx=(Senx)/(Cosx)
 Tanx=(5/13)/(12/13)
 Tanx=(5)(13)/(13)(12)
 Tanx=65/156

 4. Therefore, the answer is;

 Tanx=65/156
7 0
3 years ago
PLEASE HELP URGENT!!!! Can someone plss help me with these!!
lana66690 [7]

Answer:

ok who are 38 no butplease

4 0
2 years ago
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
Help due tonight!!
nata0808 [166]

Answer: 120 cm

Step-by-step explanation:

V = a^2 h/3

8 0
2 years ago
Last one for real this time!<br> Find the perimeter and area the figure.
Natali5045456 [20]

Answer:

Perimeter = 180

Area = 1080

Step-by-step explanation:

Perimeter is length of all sides added together. 30+78+72 = 180

Area is the length times the height/2 for a triangle. 30*72/2 = 1080

I hope this helped <3

5 0
2 years ago
Other questions:
  • 180-(3x-10) simplify this
    15·2 answers
  • Solve the equation from the points:)
    12·1 answer
  • Each potted plant cost ls $4.75,and each shrub costs $14.50
    14·1 answer
  • At the product store you can buy four bags of bananas for 2084 how much would it cost if you were to buy 3 bags
    15·1 answer
  • A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (
    13·2 answers
  • Cómo se escribe el número 88,317​
    10·2 answers
  • How long would it take an ant to run from Los Angeles to New York City?
    10·1 answer
  • Given STU and DEF , what is m∠E
    9·1 answer
  • PLEASE HELP! i’m having a hard time understand this.
    9·1 answer
  • Y = 3x ÷ 9 and x = -6 what is the output​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!