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2 years ago

Help help help read the image please

Mathematics

2 answers:

Liula [17]2 years ago

6 0

All it’s asking is how many students basically scored 90 and under. there’s a total of 25 kids and 14 scored a 90 or less.

Anastasy [175]2 years ago

5 0

It’s only asking how many of them scored under 90 or over 90

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Whats 1+1 (wrong answers only)

katovenus [111]

Answer:

the answer to this equation is 55

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3 years ago

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Which equation represents the axis of symmetry of the function y= -2x^2 + 4x -6?

daser333 [38]

Answer:

The axis of symmetry is on x = 1

Step-by-step explanation:

When you graph the function, the vertex is at (1,-4). This means that the axis of symmetry is at x = 1

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3 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .