The expression 4c gives the science test score that a student recives c correct problems. what score is for 18 correct problems

valkas [14]

Answer:

a) cannot be determined

b) a triangle can be drawn, but its dimensions cannot be determined

Step-by-step explanation:

The vertical axis is labeled in units of kilometers. The horizontal axis is labeled as distance, with no units given. The line shown appears to descend from 12 units above ground level over a distance of 34 units along ground level. One could argue the slope is 12/34 = 6/17, but there is no indication the horizontal units are the same as the vertical units.

The slope of the graph cannot be determined, because we don't know the horizontal units.

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You can draw the triangle, but you cannot determine its dimensions.

6 0

2 years ago

For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

3 0

3 years ago

What is the difference in length between a 1 1/4 inch button and a 3/8 inch button?

charle [14.2K]

1 1/4= 1*4+1 /4. Or 5/4

In order to subtract you must have same denominator. 5/4 -3/8

Multiply 5/4 times 2/2. =. 10/8. -3/8

The difference is 7/8

8 0

2 years ago

What does negative 2 over 7 > −4 indicate about the position of negative 2 over 7 and −4 on the number line?

jeyben [28]

-4/7 > -2

If it is greater it goes to the right, and if it is less it goes to the left.

-4/6 is located to the right of -2

6 0

2 years ago

A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g

Nonamiya [84]

9514 1404 393

Answer:

20,000 cm³
54 kg

Step-by-step explanation:

1 m is 100 cm, so the volume is ...

V = LWH

V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume

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The mass is ...

(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg

The mass of the block is 54 kg.

7 0

2 years ago