All categories

2 years ago

What value of g makes the equation true? (x+7)(x-4)=x²+gx-28

Mathematics

1 answer:

34kurt2 years ago

4 0

Answer:

g = 3

Step-by-step explanation:

(x+7)(x-4) = x²+ gx -28

Multiply the two parenthesis

(x+7)(x-4)= x² -4x +7x -28

Combine like terms

(x+7)(x-4)= x²+3x-28

Compare the equations

x²+ gx -28 = x² +3x -28

g = 3

You might be interested in

Help me with these fractions with whole numbers

telo118 [61]

208 4/7 +201 3/4 =

1456 / 7 + 804/4 = 409
-------------------------------------------------------
20 1/6 - 15 3/5 =

121 / 6 - 78/5 = 137 /30

4 0

2 years ago

A miniature quadcopter is located at xi = −1.75 m and yi = −5.70 m at t = 0 and moves with an average velocity having components

Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

$\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath$

where $\Delta x=x_f-x_i$ , the difference in the quadcopter's final and initial positions and $\Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s$ .

The $x$ -component of the average velocity is 2.70 m/s, so

$2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}$

and the $y$ -component is -2.50 m/s, so

$-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}$

4 0

2 years ago

Determine ſ(2) where f(x) =x+1/4x-2

umka2103 [35]

F(X)= x+1/4x-2
f(2) = (2 + 1)/[(4)(2) - 2]
f(2) = 3/6 = 1/2

6 0

2 years ago

If your highway gas mileage is 26 and you take a trip that is 600 miles how much gas will you use

blondinia [14]

Answer: 23.07 gallons of gas

8 0

2 years ago

A shelf is built on a wall, as shown below. What is the value of x?<br> (2x+1) + (3x-1)

Hoochie [10]

Answer:

x = 18

Step-by-step explanation:

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°. So, using this property,

2x+1+3x-1+90 = 180

2x+3x = 180-90

5x = 90

x = 18

So, the value of x is equal to 18.

6 0

2 years ago