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m_a_m_a [10]
3 years ago
7

Answer in 2 decimal place

Mathematics
1 answer:
dusya [7]3 years ago
3 0
X1 = -5.8526, so -5.85
X2= 14.3526, so 14.35
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Given ƒ(x) = 3x + 9, find x when ƒ(x) = 21. <br><br> A) 3 <br> B) 4 <br> C) 7 <br> D) 10
Alborosie

Answer:

B

Step-by-step explanation:

Replacing <em>f</em>(x) with 21, this is the equation

21=3x+9

First, subtract 9 from each side of the equation to get:

12 = 3x

Next, divide each side by 3 to get:

4 = x

So the answer is B.

6 0
3 years ago
Read 2 more answers
In spring 2014, faculty from the City University of New York (CUNY) reported on a randomized controlled trial they conducted. Th
Lady_Fox [76]

Answer:

A) explanatory variable is "The extra support given by faculties"

B) the response variable is;

"How successful students who were placed directly into college - level statistics were able to outperform both elementary algebra treatment groups."

C) Confounding Variable is "ability of students to be successful or pass"

D) Experiment

Step-by-step explanation:

A) An explanatory variable is simply a type of independent variable used to explain the changes that occur in another variable. Furthermore, it can be manipulated by the researcher and is also used to predict differences in the response variable.

Now, from the question, we see that the variable "extra support by the faculties" is used to determine how successful community college students who were placed directly into college - level statistics were in outperforming both elementary algebra treatment groups.

Thus, the explanatory variable is "The extra support given by faculties"

B) In answer A above, we saw that the explanatory variable is used to predict the response variable.

We saw that the explanatory variable predicted how successful community college students who were placed directly into college - level statistics were in outperforming both elementary algebra treatment groups.

Thus, the response variable is;

"How successful students who were placed directly into college - level statistics were able to outperform both elementary algebra treatment groups."

C) A confounding variable is one that influences or changes the effect of the dependent & independent variable. It is therefore used to influence the result/outcome of an experiment/research.

From the question, it's clear that the ability of the students to pass or be successful is what influences the effect of the support by the faculties.

Thus, the Confounding Variable is "ability of students to be successful or pass"

D) The question portrays an experiment because it is being used to check if an hypothesis statement is true or false.

3 0
4 years ago
Find p and q for which the linear eqn has infinite solutions
jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒  y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0
3 years ago
A man earns 5000 for 10 days work.how should he earn in 14,if working at the same rate
Mademuasel [1]
He earns $500 every day, so 500 times 14 is 7000

Answer: $7000
7 0
3 years ago
Read 2 more answers
The area of a rectangle is 1,036 cm and its length is 74 cm.
Nikitich [7]

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

  • Area of a rectangle = 1036 cm²
  • Length = 74 cm

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

1036 = 74 \times Breadth\\1036  \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}

\rule{150pt}{2pt}

8 0
2 years ago
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