На рисунке изображены графики функции. Для каждой из функций укажите номер соответствующего графика.

The range of the function y = 2cos x is -2 ≤ y ≤ 2.

Vadim26 [7]

<u>Answer:</u>

The range of the function y = 2cos x is -2 <y < 2 .

<u>Step-by-step explanation:</u>

We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,

since ,

cos (x + 2π) = cos x

So, the range of the function y = 2cos x is -2 <y < 2 .

7 0

2 years ago

A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w

chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

$\frac{15}{100} =\frac{5}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$15y=100(5)\\15y=500$

I now solve for y by dividing by 15.

$\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....$

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

4 0

2 years ago

Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find

ivann1987 [24]

$6x^2+19x-15=-12x+15\\
6x^2+31x-30=0\\
6x^2+36x-5x-30=0\\
6x(x+6)-5(x+6)=0\\
(6x-5)(x+6)=0\\
x=\frac{5}{6} \vee x=-6\\\\
y=-12\cdot\frac{5}{6} +15\vee y=-12\cdot(-6)+15\\
y=-10 +15\vee y=72+15\\
y=5 \vee y=87\\\\
x=\frac{5}{6} \wedge y=5\\
x=-6 \wedge y=87$

7 0

3 years ago

Read 2 more answers

When we slice a three-dimensional object, we expose new faces that are two dimensional. The two-dimensional face is called _____

zlopas [31]

Answer:

Cross section

Step-by-step explanation:

Cross section refers to the new two dimensional face exposed when we slice through a three dimensional objects.

It can also be the surface or shape exposed by making a straight cut through something, especially at right angles to an axis.

Cross section is the plane surface(two-dimensional objects) formed by cutting across a solid shape (three-dimensional shape) especially perpendicular to its longest axis.

8 0

3 years ago

Every morning, Lillian collects eggs from the hens on her family's farm. She puts the eggs in cartons of 16. On Monday, Lillian

Mars2501 [29]

Answer- D)11
37÷16=2 r5
16-5=11

5 0

3 years ago