what is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

Answer:

Option D

Step-by-step explanation:

Option D's equation is in slope-intercept form. Slope-intercept form equations are used for linear functions.

Nonlinear functions would have an exponent (that is higher than 1), 'x' as an denominator in a function, or a square/cube root symbol in it's equation.

Option D should be the correct answer.

Hope this helps.

Answer:

the amount of camry sold in 2003 = 434000

Step-by-step explanation:

let the number of camry sold be X

then the number of honda accord will be x - 35000

the total will be:

x + x-35000 = 833000

2x = 868000

x = 434000

The amount of Camry sold in 2003 is 434000

Let the number of Camry sold be X

Then the number of honda accord will be x - 35000

The total will be:

x + x-35000 = 833000

2x = 868000

x = 434000

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Answer:

I think its C because if I remember correctly zero of the function is just the x intercept

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

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

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathsf{3(2x - 5)}[/tex]

Distribute 3 through the parentheses

⇒[tex] \mathsf{3 \times 2x - 3 \times 5}[/tex]

Calculate the product

⇒[tex]6x - 15[/tex]

Hope I helped!

Best regards!!

Using the formula for the angle of a secant and tangent line

Angle V = (TW - UW)/2

Write the formula with the given information:

3x+4 = (14x+7 - 7x+11)/2

Simplify:

3x+ 4 = (7x -4)/2

Multiply both sides by 2:

6x + 8 = 7x-4

Add 4 to both sides:

6x+12 = 7x

Subtract 6x from both sides:

X = 12

Now replace x with 12 in angle v:

3(12) +4 = 35 + 4 = 40

The answer is A) 40

Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

m = 46

46 + d = 64

Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

Answer:

Step-by-step explanation:

[tex]6^2 =6\times 6\\\\= 36[/tex]

Answer:Answer and Explanation:

When a number is said to be 'to the fourth power,' that just means that you need to multiply the number by itself four times. For example, 7 to the...

Step-by-step explanation:

Answer:

x = -13

Step-by-step explanation:

2x-3x+5=18

Combine like terms

-x +5 = 18

Subtract 5 from each side

-x +5-5 = 18-5

-x = 13

Multiply each side by -1

x = -13

Answer:

[tex]\huge \boxed{{x=-13}}[/tex]

Step-by-step explanation:

[tex]2x-3x+5=18[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]-1x+5=18[/tex]

[tex]\sf Subtract \ 5 \ from \ both \ sides.[/tex]

[tex]-1x+5-5=18-5[/tex]

[tex]-1x=13[/tex]

[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]

[tex]-1x \times (-1)=13 \times (-1)[/tex]

[tex]x=-13[/tex]

Work Shown:

C = circumference = 20pi

d = diameter

C = pi*d

pi*d = 20pi

d = 20 after dividing both sides by pi

The radius is half the diameter, so r = d/2 = 20/2 = 10.

As an alternative, you can use the formula C = 2*pi*r

Using the circumference of the circle formula to solve the problem. Then the radius of the circle is 10 units.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

The circumference of a circle is 20π.

We know that the circumference of the circle is given by

[tex]\rm Circumference\ of\ the\ circle = 2\pi r[/tex]

Where r is the radius of the circle.

Then the radius of the circle will be

[tex]\begin{aligned} 20 \pi &= 2 * \pi * r \\r &= 10\end{aligned}[/tex]

Thus, the radius of the circle is 10 units.

More about the circle link is given below.

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Answer:

Step-by-step explanation:

9 = m/3 + 4

5 = m/3

m = 15

Answer: m=15

Step-by-step explanation:

[tex]9=\frac{m}{3}+4[/tex]

subtract 4 on both sides

[tex]\frac{m}{3}+4-4=9-4[/tex]

[tex]\frac{m}{3}=5[/tex]

multiply 3 on both sides

[tex]\frac{3m}{3}=5\cdot \:3[/tex]

[tex]m=15[/tex]

Answer:

            [tex]\bold{f(x)\cdot g(x)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12}[/tex]

Step-by-step explanation:

[tex]f(x)=x-6\ ,\qquad g(x)=\big x^\frac12(x+3)\\\\\\f(x)\cdot g(x)=(x-6)\cdot\big x^\frac12(x+3)=\big x^\frac12(x^2-3x-18)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12[/tex]

Answer: Hello:

Slope - intercept form is y = mx + b.

Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:

y = -1/2 + 5

Hope this helps!

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

Answer:

-k² - (7k - 5n) + 9n

-(-1)² - [7(-1) - 5(-2)] + 9(-2)

-1 - [-7 - (-10)] - 18

-1 - 3 - 18

= -22

Answer:

the mode would be 24

Step-by-step explanation:

it is what numbers appears most often

Answer:

A and D choices (Plato)

Step-by-step explanation:

The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:

100(12) − 200(0) = 1,200.

The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:

100(0) − 200(12) = -2,400.

Both of these scores are possible in the game, so they are both viable.

Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.

In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.

Answer:

-4

Step-by-step explanation:

f(-1) = 2(-1) - 2 = -4

Answer:

r² = 0.5652  < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X,          Y

0.7,       1.11

21.9,     3.69

18,         4

16.7,      3.21

18,         3.7

13.8,      1.42

18,          4

13.8,      1.42

15.5,      3.92

16.7,       3.21

The correlation between the values is given by the relation

Y =   b·X + a

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

[tex]b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566[/tex]

[tex]a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704[/tex]

[tex]r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}[/tex]

[tex]r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518[/tex]

r² = 0.5652  which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

Answer:

Step-by-step explanation:

Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number

say in our given example $2.05.

When we decide to multiply 3 property with $2 and $0.5 which when added together will still give  $2.05, we are using distributive property of multiplication.

Hence according to distributive property 3*$2.05 is the same as

3*$2 + 3*$0.5

Answer:

what are the items

Step-by-step explanation:

====================================================

Explanation:

6 in the sample of 50 are infected, so 6/50 = 12/100 = 12% are infected in the sample. We expect this percentage to carry over to the entire population assuming we picked a representative random sample that isn't biased.

12% of 6250 = 0.12*650 = 750 is the expected number of infected individuals in the population.

----------

Here's an alternative way you can solve through a proportion

(number infected)/(total) = (number infected)/(total)

6/50 = x/6250

6*6250 = 50x ... cross multiply

37500 = 50x

50x = 37500

x = 37500/50 ... divide both sides by 50

x = 750

Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.

Step-by-step explanation: I guessed and got it correct.

The graph representing Sondra's weekly earnings is plotted and attached.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.

Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -

y = 5x + 10.

Refer to the graph attached.

Therefore, the graph representing Sondra's weekly earnings is plotted and attached.

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Answer:

-3x³ + 6x² + 36x

Step-by-step explanation:

3x(-x² + 2x + 12)

3x*-x² + 3x*2x + 3x*12)

-3x³ +6x² + 36x

Answer:

When x = -4 and y = -6, p = 37.75

Step-by-step explanation:

Given that p = x² - y²/x² + x·y, we have;

p = (x² × x² -y² + x·y×x²)/x²

p = (x²⁺² - y² + x¹⁺² × y)/x²

p = (x⁴ - y² + x³·y)/x²

Therefore, p in the simplest form is given as follows;

[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]

To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;

[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]

Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.

Answer:

Variable terms:

x and y

Constant terms:

7 and -9

Coefficient terms:

-5.6 and 24

Answer:

Step-by-step explanation:

f(x) = 3x² + 1

g(x) = 1 - x

To find (f - g)(2) first find (f - g)(x)

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 3x² + 1 - ( 1 - x)

(f - g)(x) = 3x² + 1 - 1 + x

(f - g)(x) = 3x² + x

To find ( f - g)(2) substitute 2 into (f - g(x)

That's

( f - g)(2) = 3(2)² + 2

( f - g)(2) = 3(4) + 2

( f - g)(2) = 12 + 2

We have the final answer as

Hope this helps you

Answer:

The correct option is;

(Choice C) Both angle measures and segment lengths

Step-by-step explanation:

The given transformations are;

The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;

The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions

Therefore, the correct option is,  both angle measures and segment lengths.

(Choice C) C Both angle measures and segment lengths

Answer:

[tex]\Huge{\fbox{\red{Attachment}}}[/tex]

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