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Digiron [165]
3 years ago
5

Find the slope of the line that contains 2,2 and -3, 4

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

-2/5

Step-by-step explanation:

your answer is -2/5 because whenever you have two points you can go ahead and just do rise over run and the formula is y1-y2/x1-y1 now you can go ahead and label them so y1 is 2, y2 is 4, x1 is 2 and x2 is -3 and now plug everything in

2-4/2-(-3)

-2/5

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6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4 ​
Gwar [14]

Answer:

k = 1

Step-by-step explanation:

<u>Discriminant</u>

b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0

\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}

\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}

\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}

As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.

<u>Given equation</u>:

y=kx^2-4x+4

Therefore:

  • a = k
  • b = -4
  • c = 4

Substitute these values into the discriminant and solve for k:

\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}

4 0
2 years ago
There are 6 ouces of dough and 4 ounces of suase for each person at a party including yourself once you have a total of guest yo
zepelin [54]

Answer:

Number of guests = 13

Sauce = 52 ounces

Dough = 78 ounces

Step-by-step explanation:

you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain

Dough = 6 ounces

Suase = 4 ounces

Dough + sauce = 6 + 4 = 10

Let x = total number of guests

Dough ingredients + sauce ingredients = 130

10x = 130

Divide both sides by 10

x = 130/10

= 13

x = 13

Number of guests = 13

Total ounces of dough = 6 ounces × 13 guests

= 78 ounces of dough

Total ounces of sauce = 4 ounces × 13 guests

= 52 ounces of sauce

Therefore,

Number of guests = 13

Sauce = 52 ounces

Dough = 78 ounces

7 0
3 years ago
Please help me solve this problem. ​
schepotkina [342]

Answer:

Step-by-step explanation:

There is no solution

5 0
3 years ago
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6 0
3 years ago
Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of J
son4ous [18]

Answer:

4/7

Step-by-step explanation:

3 0
3 years ago
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