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3 years ago

Need help plotting this on a number line

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

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Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (2,-2)

Anettt [7]

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
y=a(x-{{ h}})^2+{{ k}}\qquad 
\begin{cases}
h=0\\
k=0
\end{cases}\implies y=a(x-0)^2+0
\\\\\\
y=ax^2\qquad 
\begin{cases}
x=2\\
y=-2
\end{cases}\implies -2=a2^2$

solve for "a", to get the coefficient, and then plug it back in the equation.

7 0

4 years ago

Step by step workout of ;<br> log x^3+log 5x=5 log 2-log 2/5

Charra [1.4K]

Answer:

x = 2

Step-by-step explanation:

$log \: {x}^{3} + log \: 5x = 5log \: 2 - log \: \frac{2}{5} \\ \\ \therefore \: log( {x}^{3} \times 5x) = log {2}^{5} - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log 32 - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(32 \times \frac{5}{2} \bigg) \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(16 \times 5) \\ \\ \therefore \: 5{x}^{4}= 16 \times 5 \\ \\ \therefore \: {x}^{4}= {2}^{4} \\ \\ \huge \purple{ \boxed{\therefore \: {x} = 2}}$

4 0

3 years ago

How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 40% acid solution

Misha Larkins [42]

Let A be the amount of 100% acid.

100A+20*(6)=40*(A+6)

100A+120=40A+240

60A=120

A=2 gallons

3 0

3 years ago

sampling method: assume that the population consists of all students currently in your statistics class. describe how to obtain

Naddik [55]

To obtain the sample, one can choose the names of 6 students out of a hat from the students in the class using random sampling.

<h3>What is random sampling?</h3>

It should be noted that a simple random sample is a subset of a statistical population where each member of the subset has an equal probability of being chosen.

Systematic sampling is when the sample members from a larger population are selected based on a fixed, periodic interval. If you want to select a random group of 6 students from a population of about 60 using systematic sampling, every 10th person on the list is selected.

Learn more about sampling on:

brainly.com/question/17831271

3 0

3 years ago

There are 110 students in the 6th grade band and 120 students in the 7th grade band. Of the students, 60% of the 6th grade band

r-ruslan [8.4K]

Answer:

36 more students of grade 7 went on a trip than students of grade 6

Step-by-step explanation:

60 % of 110 students= 60/100*110= 66 students

85 % of 120 students= 85/100 * 120= 102 students

No of students of grade 7th more than 6th grade students= 102-66= 36

6 0

3 years ago