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egoroff_w [7]
3 years ago
13

Y = −(x + 4)2 − 7 vertex

Mathematics
2 answers:
zmey [24]3 years ago
8 0

Answer:

The vertex is (-4,-7)

Step-by-step explanation:

The vertex form of a parabola is given by:

y=a(x-h)^2+k, where (h,k) is the vertex and a is the leading coefficient.

The given parabola has equation:

y=-1(x+4)^2-7

When we compare to the vertex form, we have

-h=4\implies h=-4 and k=-7.

Therefore the vertex is (-4,-7)

ICE Princess25 [194]3 years ago
3 0

Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex y=-4(x+4)^2-7.

The vertex form of a quadratic is y=a(x-h)^2+k where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare y=-4(x+4)^2-7 to y=a(x-h)^2+k , you should see that a=-4,h=-4,k=-7.

So the vertex (h,k) is (-4,-7).

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Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
3 years ago
Solve equation for the variable. <br><br> 4e-6e-5=15
julsineya [31]
4e - 6e - 5 = 15

Begin by combining like terms:
4e - 6e = -2e.

The equation is now simplified.
Now, it is time to find the value of the variable.

-2e - 5 = 15

Step 1: Add 5 to both sides.

We now have -2e = 20.

Step 2: Divide both sides by -2 to isolate the variable.

-2e / 2 = e; 20 / -2 = -10.

Therefore, e = -10.
8 0
2 years ago
Read 2 more answers
Find the value of the x in the equation 9x+15=8x
zheka24 [161]

9x+15=8x

subtract 15 and 8x from both sides to get

x=-15

3 0
3 years ago
Twice a number, increased by 3 is the same as five less than four times a number.what is the number?
zzz [600]

Answer:

x = 4, hope this helps!

Step-by-step explanation:

2x + 3 = 4x - 5

-2x -2x

3 = 2x -5

+5 +5

8 = 2x

divide by 2 on both sides

4 = x

switch where the x and 4 is, because teachers seem to like that

x = 4

8 0
4 years ago
Factorise 12 raised 2 minus 7x + 1​
professor190 [17]

Answer:

(4x - 1)(3x - 1).

Step-by-step explanation:

I think you mean 12x^2 - 7x + 1

= 12x^2 - 4x - 3x + 1

= 4x(3x - 1) -- 1(3x - 1)

= (4x - 1)(3x - 1).

6 0
3 years ago
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