The quadratic formula cannot be used to solve an equation if a term in the
equation has a degree higher than _____.

Answer:

y= 1x-2

Step-by-step explanation:

The slope is 1.

The y- intercept is (0,-2)

In the equation

y= 1x-2

Hope this helps!

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Answer:

the answer is b

Step-by-step explanation:

since rise over run

Answer:

You should be able to complete the solution from the guidance below.

Step-by-step explanation:

The slope is y2-y1 / x2-x1

The points from the graph are (0,3) and (-1.5,0)

Answer:

no

Step-by-step explanation:

substitute b with 5

3(5)+3=38

Multiply

15+3=38

Add

it does not equal up

18=38

Answer:

yes Hgggggggggf the centergegge-eghrhtrhhhghgebbgegebeeebbe

Answer:

\(2x^2y^3\)

Step-by-step explanation:

The given expression is :

\(2x^2y^3+4x^2y^5\)

We need to find the greatest common  factor of the expression.

The first term is \(2x^2y^3\)

The other term is \(4x^2y^5\)

\(2x^2y^3\) is common in both terms. So,

\(2x^2y^3(1+2y^2)\)

Hence, the greatest common factor of the expression is equal to \(2x^2y^3\).

Answer:

X = 56/14 = 4

Step-by-step explanation:

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

Answer:

Step-by-step explanation:

Answer:

D im pretty sure. "Uses a convex eyepiece lens”

Step-by-step explanation:

I am taking quiz rn

The correct label that could be written in the area marked X is "Uses a convex eyepiece lens".

The Venn diagram is a mathematical representation of the system of scenarios.

Here,
The overlapping area between the two circles represents the features that both types of telescopes share. Reflecting telescopes use concave eyepiece lenses the primary optical element while refracting telescopes use a convex eyepiece lens. So the X in the overlapping area represents the fact that there are some telescopes that “Use a convex eyepiece lens".

A concave mirror is used in reflecting telescopes to collect and focus light, while a convex eyepiece lens is used to magnify the image. The other two options ("Uses a convex mirror" and "Uses a concave mirror") are not accurate for both types of telescopes.

Learn more about Venn diagrams here:

brainly.com/question/1605100

#SPJ6

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

4

Step-by-step explanation:

420 divided by 98 is 4.28571428571, therefore rounding would make the answer 4!

The nearest integer is 4

What is rounding to nearest integer?

Rounding off means to round up to the nearest whole number. Any non-integer value will be rounded up to the next greatest integer, as demonstrated 6.01 → 7, for example, when rounding to the ones place.

Rounding to the closest integer is the most typical sort of rounding. The easy rule for rounding is to look at the digits after the tenth (the first digit to the right of the decimal point). If the digit in the tenths place is less than 5, round down, which implies the unit digit should be kept the same; if it is larger than 5, round up, which means the unit digit should be increased by one.

Solution:

When we divide 420/98 the nearest number we get is 4.285.

98 × 4= 392

To round off we see that the number on the tenth place after the decimal point is less than 5. So we consider the number as 4.

If we consider 98 × 5=490, which exceeds the limit of 420.

If we consider 98 × 3=294, it is not near to the answer 420.

Hence 4 is the number when 420/98 is rounded to the nearest integer.

Learn more about "Integers" here-

brainly.com/question/17695139

#SPJ2

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ1

Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

<95141404393>

answer

y=-1/2 x+6

how to do it

m /perp -1/2

y-y1=M(x-x1)

y-0=-1/2 (x-12)

y-0=-1/2+6

  +0     +0

y=-1/2 x+6

Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer:

y = (24/5)x + 24

Step-by-step explanation:

Knowing that the parent equation for linear functions is "y = mx+b", where "m = slope" and "b = y-intercept", we can create an equation for the line of best fit.

We also need to know the formula for using two points to find the slope is  "(y2 - y1)/(x2 - x1)", where (x2, y2) is a point on the graph and (x1, y1) is a point on the graph.

Finding the slope:

I will be using points (5, 48) and (0, 24).

(24 - 48)/(0 - 5)

(-24)/(-5)

24/5      is the slope so "m = 24/5"

We can tell from the graph (0, 24) is the y-intercept, so "b = 24"

Final equation:

y = (24/5)x + 24

m∠K = 59.09°. This can be solved by using the concept of SAS theorem.

Triangles are congruent if their two sides and included angles are equivalent to those of another triangle's two sides and included angle. The SAS Theorem states that two triangles are congruent if their included angle and two of their sides are the same.

Here, ∠B = m∠K (consider it)

sin B /b = Sin A /a

sin B / 15 = sin 31° / 9

sin B / 15 = 0.5150 / 9

sin B / 15 = 0.057

sin B = 0.858

B = 59.09°

Thus, m∠K = 59.09°

To know more about SAS theorem refer to:

https://brainly.com/question/22472034

#SPJ1

Answer:

x=1

y=-1

Step-by-step explanation:

x = y+2

x+2y = 5

y+2 +2y = 5

3y +2 = 5

3y = 3

y=1

x=-1

Answer:

Step-by-step explanation:

Insert y+2 into your x so...

y+2+2y=5

Then solve...

Combine like terms so 2y+y is 2y^2 (squared)

and..

5-2 is 3

you are left with 2y^2 (squared) = 3 is 0.75

Answer:

120.91 grams

Step-by-step explanation:

multiply the initial amount by the percent that will remain to the power of n-1, n being the term number, or how many days that have passed.

f(x)=1000(0.85)^14-1

The mass of the radioactive sample at the beginning of the 10th day of the experiment is 221.30 grams if the mass was decreasing by 14% per day.

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

Mass of the substance = 1000 grams

Rate of decay = 14% per day = 0.14

Let's suppose the mass is m at the beginning of the 10th day of the experiment.

The equation for the exponential decay:

\(\rm E = m(1-r)^t\)

\(\rm m = 1000(1-0.14)^1^0\)

m = 1000×0.22130

m = 221.30 grams

Thus, the mass of the radioactive sample at the beginning of the 10th day of the experiment is 221.30 grams if the mass was decreasing by 14% per day.

Learn more about the exponential decay here:

https://brainly.com/question/14355665

#SPJ2

Answer:

87 degrees

ADE ~ ACB (AB is twice the length of AE, AC is twice of AD, CAB and DAE common angle)

So AED and ABC should be equal

11x-2=6x+13

5x=15

x=3

Angle ABC will equal:

6(3)+13= 31 degrees

ACB = 180-31-62

ACB = 87 degrees

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

for such more question on length

https://brainly.com/question/20339811

#SPJ11

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

x¹¹ • x⁹

Step-by-step explanation:

so hope it help

have a nice day

Answer:

I got D. 20

Step-by-step explanation:

-5/3 times -2/3 equals 10/9

10/9 times -18 equals -20

Hope this helps dude ^-^

Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:

The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The mean is given by the following rule:

E(x) = np.

The standard deviation is given by the following rule:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

In the context of this problem, the parameters are found as follows:

Hence the mean and the standard deviation are, respectively, given by:

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1