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Anastasy [175]
2 years ago
15

} " alt=" \huge\fbox\green{QUESTION} " align="absmiddle" class="latex-formula">
\mathsf \blue{calculate \: the \: gradient}
​

Mathematics
1 answer:
Anni [7]2 years ago
3 0

\huge \fbox \orange{♧Answer♧}

\mathcal\blue{METHOD\:1}

\mathsf \purple{ - ( \frac{y}{x} )}

\mathsf \purple{ - ( \frac{ - 4}{5})}

\mathsf \purple{( \frac{4}{5} )}

\mathcal\blue{METHOD\:2}

\mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)}

\mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)}

\mathsf\purple{( \frac{4}{5})}

\mathcal\blue{METHOD\:3}

\mathsf\purple{m\:=\:rise\:÷\:run}

\mathsf\purple{m\:=\:( \frac{4}{5})}

\mathbb\pink{NOTE:}

  • The difference between the y-coordinates of the two points is called the rise.
  • The difference between the x-coordinates of the same two points is called the run.
  • The slope can be calculated by dividing the rise by run.
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If the exponential parent function,
laila [671]

Answer: f(x) =3^{-x}-4

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If f(x)+k, the function is translated up "k" units.

If f(x)-k, the function is translated down "k" units.

If -f(x), the function is reflected across the x-axis.

If f(-x), the function is reflected across the y-axis.

Therefore, knowing those transformations and given the exponential parent function:

f(x) = 3^x

If it is reflected across the y-axis and the it is  translated down 4 units, we can determine that the resulting function is:

f(x) =3^{-x}-4

6 0
3 years ago
A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers
Cerrena [4.2K]

Answer:

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation  

\bar X=70.2 represent the mean height for the sample  

s represent the sample standard deviation for the sample  

n=20 sample size  

\mu_o =765 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:  

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

3 0
3 years ago
Use the given equation to find the number<br><br> 1/2x-19.7=-4.1
Leokris [45]

Answer:

the number is 31.2

Step-by-step explanation:

Given that:

1/2x-19.7=-4.1

Adding 19.7 on both sides:

1/2x-19.7 + 19.7=-4.1 + 19.7

1/2x = 15.6

Multiplying both sides by 2:

x = 15.6 * 2

x = 31.2

So the number is 31.2

i hope it will help you!

7 0
3 years ago
33% of what number is 1.45? Round to the nearest tenth.
tatuchka [14]

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

3 0
3 years ago
Read 2 more answers
What is the order of rotational symmetry for a rhombus?
Ulleksa [173]

Answer:

  2

Step-by-step explanation:

The order (or degree) of rotational symmetry of a rhombus is 2. This is because it looks the same only when rotated 0° or 180° (2 angles, total).

6 0
3 years ago
Read 2 more answers
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