Evaluate: 17 – 5(–3)<br> A.–28<br> B. 32<br> C. –8<br> D.

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Use this to answer 2b. (2b) There

lutik1710 [3]

I think answer should be 8 please give me brainlest let me know if it’s correct or not okay thanks bye

3 0

3 years ago

Set y= 22x+4 and y= 14x+28 equal and solve algebraically

Doss [256]

Answer:

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign. In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other. The first step for this equation is to get the variable on one side and the constants on the other. Subtracting 14x from both sides: 22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28. Next, subtract the 4 from both sides to get: 8x +4 - 4 = 28 - 4 or 8x = 24. Lastly, divide both sides by 8 to get x = 3. To solve for y, simply plug 3 in for 'x' in either of the initial equations: y = (22)(3) + 4 = 70.

3 0

3 years ago

Which statement describes the inverse of m(x) = x2 – 17x?

Finger [1]

Answer:

The correct option is;

$The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}$

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

$x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

$x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}$

Which can be simplified as follows;

$x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}$

And further simplified as follows;

$x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}$

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

$m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}$

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

$The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}$ to increase m⁻¹(x) above the minimum.

8 0

3 years ago

How does knowing 1/5 of help me find 3/5 of 10

Bad White [126]

Answer:

One fifth is like you saying one fifth of something, so if you have 3 fifths of something it's just 3 times more than one fifth. so like 1/5 is 20% so 3/5 is 3 times more which is 60%

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A rectangle that is 9 meters long has a area of 36 square meters what is the perimeter of the rectangle (for my sister)

ASHA 777 [7]

here you go

the answer is 4 cm

7 0

2 years ago

Evaluate: 17 – 5(–3) A.–28 B. 32 C. –8 D.–21