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krok68 [10]
3 years ago
13

.If x2 + kx+ 6 = (x + 2) (x + 3) for all x, then the value of k is​

Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

k = 5

Step-by-step explanation:

(x + 2)(x + 3) =  {x}^{2}  + 5x + 6

Now comparing left hand side & right hand side ,

{x}^{2}  + kx + 6 =  {x}^{2}  + 5x + 6

Cancelling x^2 & 6 from both left hand side & right hand side ,

kx = 5x

=> k = 5

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Identify the equation in slope-intercept form for the line with the given slope that contains the given point. Slope =2; (1,4)
Elina [12.6K]

Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:

y=2x+b

Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).

4=2(1)+b

4=2+b

Subtract 2 from both sides.

2=b

The y-intercept is 2.

Now, plug that into the equation:

y=2x+2

The answer is y=2x+2.

I hope this helps :)

3 0
3 years ago
Can anyone please help me :)
Solnce55 [7]

Answer:

5 to the 15th power.

Step-by-step explanation:

PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!

3 0
3 years ago
What is 21 1/4% expressed as a fraction? 13/200 17/80 21/80 17/40
natta225 [31]
The answer is 17/80
Step by step:
Move decimal 2 to the left,
.2125
Then:

2125
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10000
Then just simplify from there
3 0
3 years ago
Solve for the value of z: 90/15 = 6/z
lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

Cross Multiply

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90 = 90z

Divide both sides of the equation by 90

z = 1

Hope this was useful to you!

3 0
3 years ago
Identify properties used in each step in rewriting the polynomial expression below: (x + 5) + 3(a + (6x)y) Step 1: (5 + x)+3(a +
8090 [49]
In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x
In step 2, the associative property of addition is used since x is grouped to the last term.
In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis. 
In step 4, multiplication is done.
5 0
3 years ago
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