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Nookie1986 [14]
2 years ago
13

The point-slope form of the equation of the line that passes through (1,-1) and has a slope of 4

Mathematics
1 answer:
Ainat [17]2 years ago
7 0

Answer:y = 4x - 5

Step-by-step explanation:

point slope form is in the form of y = mx + b. m is the slope so we plug thatin and have the equation y = 4x + b. since we also have a point on the line we can plug those into the equation too. -1 = 4 * 1 + b.

now we simplify that through algebra.

-1 = 4 + b

b= -5

sp we get b and we can say the equation is y = 4x -5

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Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.
dusya [7]

The given equation has no solution when K is any real number  and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

<h3>What is the condition for a solution?</h3>

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

To learn more about the solution visit:

brainly.com/question/1397278

5 0
2 years ago
Read 2 more answers
A square has a perimeter of 36 millimeters.<br> What is the area of the square?
Nana76 [90]

Answer:

81 mm²

Step-by-step explanation:

3 0
2 years ago
X•x•x = would if 3x or x3 ?
Tems11 [23]
X.x.x (multiplication), it would be x^3

Hope it helped!
5 0
3 years ago
He paid $5.83 to make each shirt and sold each shirt at a marked-up price.
Naddika [18.5K]

we know he made a profit of 1834 for 200 shirts, let's divide those to see how much profit per shirt

\cfrac{1834}{200}\implies \cfrac{917}{100}\implies 9.17

so he made a profit of 9.17 per shirt, now profit is surplus value, value beyond the cost, we know its cost was 5.83 per shirt, so if we take 5.83 to be 100%, how much is 9.17 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 5.83&100\\ 9.17&x \end{array}\implies \cfrac{5.83}{9.17}=\cfrac{100}{x}\implies 5.83x=917 \\\\\\ x=\cfrac{917}{5.83}\implies x \approx 157.29

7 0
2 years ago
I need help on question 4 and 10
nevsk [136]

The equivalent sets are <u>X n Y = { } and X U Y= {5, 6, 7,8, 9, 10, 12 ,14}</u>

<h3>Set theory and notation</h3>

Given the following sets expressed as;

X = {8, 10, 12, 14}

Y = {5, 6, 7, 8,9}

Since union means the combination of all the elements in both sets and intersection is the common elements in the set, hence;

X n Y = { }

X U Y= {5, 6, 7,8, 9, 10, 12 ,14}

Note that the intersection is an empty set since there is no common element

Learn more on set theory here: brainly.com/question/13458417

#SPJ1

5 0
1 year ago
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