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2 years ago

If x2 - 4 = 45, then x could be equal to

Mathematics

2 answers:

Andreyy892 years ago

8 0

X could be equal to 24.5

vovangra [49]2 years ago

7 0

Hi there!

To find x, we need to simplify.

x^2 -4 = 45
x^2 = 49
sqrt(49) = 7

So, x = 7.

Hope this helps!

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Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

sergeinik [125]

If 1 cup of that particular vanilla powder has a mass of 128 grams, then $\dfrac{2}{3}$ of a cup of vanilla powder has a mass of

$\dfrac{2}{3} \cdot 128=\dfrac{256}{3}=85\dfrac{1}{3}$ grams.

Since

$85\dfrac{1}{3}-32=53\dfrac{1}{3}$ grams and $\dfrac{5}{12}$ of a cup of vanilla powder is

$\dfrac{5}{12}\cdot 128=\dfrac{5\cdot 128}{12}=\dfrac{5\cdot 32}{3}=\dfrac{160}{3}=53\dfrac{1}{3},$

then correct answer is that he went over by $\dfrac{5}{12}$ of a cup.

Answer: correct choice is B.

3 0

3 years ago

Read 2 more answers

HELP! I am confused since the -5 was added, so would it be the slope or would -7 be the slope?

In-s [12.5K]

Answer:

slope = 35; y-intercept = -45

Step-by-step explanation:

Function f(x) is written in the slope-intercept form, y = mx + b.

f(x) = -7x + 9

You compare it with

f(x) = mx + b, and you see that m, the slope, is -7, and b, the y-intercept is 9.

Now we deal with function h(x).

h(x) = -5(-7x + 9)

This is not written in the y = mx + b form, but we can put it in that form by distributing the -5.

h(x) = 35x - 45

Now, h(x) is written in the y = mx + b form. We see clearly that m = 35, so the slope of function h is 35. We also see that b, the y-intercept is -45.

Answer: slope = 35; y-intercept = -45

5 0

3 years ago

5) Using the terms "input" and "output" and the definition of a function, explain why this relationship is or is

Aleks [24]

Answer:

This relationship is a function

Step-by-step explanation:

While a function may not have two output values (y) assigned to the same input value (x), it may have two input values (x) assigned to the output value (y).

The table follows that rule

6 0

3 years ago

Is this table a function why or why not?

erastovalidia [21]

Answer:

yes

Step-by-step explanation:

functions have one input for every output.

the input side has unique and individual numbers therefore it's a function.

8 0

2 years ago

Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

2 years ago