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ollegr [7]
3 years ago
7

Connor wants to solve the equation 4" = 26. How could he use graphs to solve this

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

graph the curve that models the expression is the first on, I don’t know the rest

Step-by-step explanation:

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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
Given the following equation, at what point will the graph intersect? f(x) =5x+1 g(x)= -2x+15
Andru [333]

Answer: (2,11)

Step-by-step explanation:

To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.

5x+1=-2x+15                       [add both sides by 2x]

7x+1=15                               [subtract both sides by 1]

7x=14                                  [divide both sides by 7]

x=2

Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.

f(2)=5(2)+1                         [multiply]

f(2)=10+1                            [add]

f(2)=11

The point on f(x) is (2,11).

g(2)=-2(2)+15                    [multiply]

g(2)=-4+15                         [add]

g(2)=11

The point on g(x) is (2,11).

Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).

8 0
3 years ago
-36.12 divided by -5 3/5
Nataliya [291]
<h3 /><h3>- 36.12 \div  - 5 \frac{3}{5}  \\  - 36.12 \div  -  \frac{28}{5}  \\  = 6.45</h3>

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

5 0
2 years ago
A package of tickets for four home game costs 180$. What proportion can you write to find what 12-game package costs if all indi
Sophie [7]
"21 lol jfhfhdhdhhhhhhh"
6 0
3 years ago
I need help!!! Can you figure this out?
Aneli [31]

Answer:

128 degrees

Step-by-step explanation:

38+90=128

5 0
3 years ago
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