PLEASE HELP!!!!!! I really need help fast

The solutions to quadratic equation are x = 1 and x = -8

Solution:

Given quadratic equation is:

[tex]x^2+7x = 8\\\\x^2 + 7x-8 = 0[/tex]

We have to find the solutions of equation

[tex]\mathrm{Quadratic\:Equation\:Formula:}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\text{Compare the given } x^2 + 7x - 8 = 0 \text{ with } ax^2 + bx + c = 0\\\\We\ get\\\\a = 1\\\\b = 7\\\\c = -8[/tex]

[tex]x=\frac{-7\pm \sqrt{7^2-4\cdot \:1\left(-8\right)}}{2\cdot \:1}\\\\x =\frac{-7 \pm \sqrt{7^2+4\cdot \:1\cdot \:8}}{2\cdot \:1}\\\\x = \frac{-7 \pm \sqrt{49 + 32}}{2}\\\\Simplify\ the\ equation\\\\x = \frac{-7 \pm \sqrt{81}}{2}\\\\x = \frac{-7 \pm 9}{2}[/tex]

Thus we get two solutions:

[tex]x = \frac{-7+9}{2} \text{ and } x = \frac{-7-9}{2}\\\\x = 1 \text{ and } x = -8[/tex]

Thus the solutions to quadratic equation are x = 1 and x = -8

Final answer:

The inequality to determine the number of hot dogs Jeff could have bought is 3h + 2 ≤ 14, representing the cost of hot dogs and the bottle of water not exceeding the total amount of $14.

Explanation:

To find h, the number of hot dogs that Jeff could have bought, we can write an inequality statement based on the maximum amount Jeff can spend and the cost of the hot dogs and water. Jeff bought one bottle of water for $2 and some hot dogs for $3 each. Given that he did not spend more than $14 on everything, the inequality to represent this scenario can be written as:

Cost of water + Cost of hot dogs ≤ Total amount Jeff can spend

2 + 3h ≤ 14

This inequality suggests that when we multiply the number of hot dogs Jeff bought (h) by $3 and add the cost of the water ($2), it should not exceed $14. So the inequality demonstrating the number of hot dogs Jeff could have bought without spending more than $14, including the water, is 3h + 2 ≤ 14.

Answer:

she has 14 apples altogether

Answer:

7.56 liters

Step-by-step explanation:

Total amount of paint mix ordered by the painter = 18 gallons

42% of the paint mix is white.

Representing this as a fraction, [tex]\[\frac{42}{100}\] [/tex] of total paint mix is white.

To find the amount of white paint, we need to multiply this fraction with the total amount of paint mix.

[tex]\[= \frac{42}{100} * 18\] [/tex]

[tex]\[= \frac{756}{100}\] [/tex]

[tex]7.56 liters[/tex]

Answer: 2^2x+6 = 2^6

Explanation:

looking at the right of the equal since we can see:

64 is the same as 4^3

but since that answer isn't shown in the multiple choice but we can notice that  64 is the same as 2^6

Now that we know the left side is 2^6 we can see there is similar an answer in the multiple choice. But let's double check that the right side is the same.

Its pretty simple, just make 4 into 2^2 then distribute the exponent of 2 (times the 2 in the exponent to the rest to x+3)

2^2(x+3)

2^2x+6

Answer:

Option B

Step-by-step explanation:

The other guy is correct I'm just making it simpler on edge people. :>

Answer:

Point C

Step-by-step explanation:

When you graph the two equations, they meet at point c, which is the solution

Answer:

Point C

Step-by-step explanation:

You know the x so you can substitute that into the point:

(4, y)

You don't know y but you can substitute in the x and solve the equation. You would get -3. So the point would be:

(4, -3)

Find that point on the graph and it's Point C.

Step-by-step explanation:

The relationship between monomial, degree and polynomial

Now, lets analyze the given algebraic expressions

Examining the first polynomial

Considering the first polynomial

[tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex]

Here is the summary of the classification of the first polynomial [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex].

Examining the second polynomial

Considering the expression

[tex]7x^6\:-\:4x^3\:+\:1/x[/tex]

It is easy to figure out that [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as it does not fulfill the criteria to be a polynomial as its last term is [tex]\frac{1}{x}[/tex] has the variable x in the denominator.

Here are some important things that need to be fulfilled for any expression to be a polynomial.

Therefore, from the above discussion we can safely say that the expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] can not be treated as as a Polynomial as its last term [tex]\frac{1}{x}[/tex] contains the variable x which is in the denominator.

Keywords: matrimonial, polynomial, exponent, degree

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The number written in standard form is 24100

Step-by-step explanation:

An object is said to be written in scientific notation when it is written in the following form:

[tex]m\cdot 10^n[/tex]

where

m is the coefficient

n is the exponent of the power of ten

The number can be rewritten in standard form by writing the coefficient and then moving to the right (or to the left) the decimal point by n positions if n is positive (or negative).

In this problem, the number is

[tex]2.41\cdot 10^4[/tex]

So we have

m = 2.41

n = 4

Therefore, we have to write 2.41 and then move the decimal point 4 positions to the right: so we get

[tex]2.41\cdot 10^4 = 24100[/tex]

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Answer:

12/16

Step-by-step explanation:

because he 6 in 4/6 cant go into 16 and 16 from 12/16 c 36 so that is why the answer is 12/16

After simplifying each fraction to its lowest terms, it's clear that 12/16, which simplifies to 3/4, is not equivalent to the others since they all simplify to 2/3.

The question asks which of the following fractions is not equivalent to the others: 24/36, 8/12, 12/16, 4/6. To determine this, we need to simplify these fractions to their lowest terms.

24/36 simplifies to 2/3, by dividing both numerator and denominator by 12.

8/12 simplifies to 2/3, by dividing both numerator and denominator by 4.

12/16 simplifies to 3/4, by dividing both numerator and denominator by 4.

4/6 simplifies to 2/3, by dividing both numerator and denominator by 2.

Therefore, the fraction 12/16 is not equivalent to the others since it simplifies to 3/4, while the others simplify to 2/3.

Answer:

In my opinion i think ur answer would be: B

Answer:

A sphere.

Step-by-step explanation:

The sun is a sphere.

The best geometric shape to describe the Sun is a sphere, as it appears as a circular disc in the sky and fits with observational data and theoretical models of its structure and the Earth's orbit around it.

When considering the geometric shape that best describes the Sun, we assess its physical appearance and symmetry. The Sun is often depicted in diagrams as having a perfectly round, spherical shape, which aligns with our observations, as it appears as a circular disk in the sky. A sphere is a three-dimensional object where every point on the surface is the same distance from the center, which closely matches the Sun's observed shape. Unlike a triangular prism, cube or cylinder, a sphere has no edges, vertices, or faces, which makes it the best match for the Sun's shape.

Moreover, observations about the Sun, like those represented in figures discussing its structure as well as the Earth's orbit around the Sun, support the description of the Sun as being spherical. The orbit of the Earth itself is very close to a circle, which assumes central body - the Sun - of spherical form to exert a uniform gravitational pull. Additionally, the celestial sphere concept, although now known to be an incorrect model for the universe, also envisions stars, including our Sun, as points on a vast imaginary sphere, once more alluding to the spherical structure of these celestial bodies.

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The annual sales after 7 years is $ 855.3556

Solution:

The growth function is given as:

[tex]y = a(1+r)^t[/tex]

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

From given,

a = 650

t = 7

[tex]r = 4 \% = \frac{4}{100} = 0.04[/tex]

Therefore,

[tex]y = 650(1 + 0.04)^7\\\\y = 650(1.04)^7\\\\y = 650 \times 1.315931\\\\y = 855.3556[/tex]

Thus the annual sales after 7 years is $ 855.3556

Answer:

so its gonna be

Step-by-step explanation:

2=2

The volume of the cube is 12.167cm^3

The formula for calculating the volume of a cube is expressed as:

s is the side length of the cube

Given the following

side eof a cube = 2.3cm

Substitute into the formula

V = 2.3^3

V = 12.167cm63

Hence the volume of the cube is 12.167cm^3

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Answer:

dogs

Step-by-step explanation:

first you got a multiply the then you got to multiply the and then multiply me beautiful

Answer:

8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶

Step-by-step explanation:

(8r⁶s³-9r⁵s⁴+3r⁴s⁵)-(2r⁴s⁵-5r³s⁶-4r⁵s⁴)​

We need to combine like terms, take care the exponents of r and s

(8r⁶s³-9r⁵s⁴+3r⁴s⁵)-(2r⁴s⁵-5r³s⁶-4r⁵s⁴)​

multiply the second parenthesis by -1

= 8r⁶s³-9r⁵s⁴+3r⁴s⁵-2r⁴s⁵+5r³s⁶+4r⁵s⁴

= 8r⁶s³ + (-9r⁵s⁴ + 4r⁵s⁴) + (3r⁴s⁵-2r⁴s⁵) + 5r³s⁶

= 8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶

Note: r⁶s³ is not like r³s⁶

Probability of getting tails on the first flip: 1/2 (because it's one of two possible outcomes).

Probability of getting tails on two consecutive flips: 1/4 (because it's one out of four possible outcomes- tails tails, tails heads, heads tails, heads heads)

A simpler way of thinking about it is 1/2*1/2, because you already have 1/2 for getting tails the first time, and if getting tails the second time were an independent event then the probability would be 1/3, but since it's getting tails twice you multiply the probabilities.

Either way, the answer is 1/4 (or 25%)

If you flip a coin twice the probability that you get tails on the first flip and tails on the second flip is 1/4.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that you flip a coin twice, the probability getting tails on the first flip we have to find the probability that you get tails on the first flip and tails on the second flip.

The probability of getting tails on the first flip is

P(T) = 1/2

When two coins get flipped the total possible outcomes are,

(T, H)(T,T)(H,H)(H,T)

Probability of getting tails on two consecutive flips,

P(T) =1/4

The probability that you get tails on the first flip and tails on the second flip

Thus, if you flip a coin twice the probability that you get tails on the first flip and tails on the second flip is 1/4.

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The product in simplest form is (x - 4)

Solution:

Given expression is:

[tex]\frac{8}{2x+8} \times \frac{x^2-16}{4}[/tex]

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Therefore,

[tex]x^2-16 = x^2-4^2 =(x+4)(x-4)[/tex]

Substitute these in given expression

[tex]\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}[/tex]

Cancel the common factors,

[tex]\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4[/tex]

Thus the product in simplest form is (x - 4)

Step-by-step explanation:

Geometric mean

[tex]= \sqrt{162\times 8}\\

=\sqrt{1296} \\

=36 [/tex]

Answer:

1/3

Step-by-step explanation:

simplifying fractions can be easy.

In this case you just need to find a common number.

The common number between 7 & 21 just happens to be 7.

7 goes into 7 one time.

7 goes into 21 three times.

Therefore the answer is 1/3.

I hope this was helpful!

To achieve a supplemental income of $11,400 a year, John should allocate approximately $145,230 to the moderately high-risk investment and approximately $64,770 to the low-risk investment.

To divide his investments and achieve a supplemental income of $11,400 a year, John can allocate a portion of his funds to the moderately high-risk investment and the remaining portion to the low-risk investment. Let's calculate the amounts:

Therefore, John should allocate approximately $145,230 to the moderately high-risk investment and approximately $64,770 to the low-risk investment.

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The measure of angle 5 is 75°.

Step-by-step explanation:

Properties of intersecting lines :

step 1 :

From the figure, the angle (-9x-12) and angle (6x+183) are vertically opposite and are equal.

-9x-12 = 6x+183

⇒ -9x-6x = 183+12

⇒ -15x = 195

⇒ x = -(195/15) = -13

step 2 :

Substitute x= -13 in the angle (-9x-12)

⇒ (-9x-12) = -9(-13)-12

⇒ 117 - 12 = 105°

step 3 :

The measure of angle in a line is supplementary (180°).

Let angle 5 be unknown value "a".

Then, angle (-9x-12) + angle a = 180°

⇒ 105° + a = 180°

⇒ a = 180 - 105

⇒ a = 75°

∴  The measure of angle 5 is 75°

Answer:

7  

4

Step-by-step explanation:

7+4=11

7-4=3

To find the value of two numbers if their sum is 11 and the difference is 3, we can use a system of equations. The two numbers are 7 and 4.

To find the value of two numbers if their sum is 11 and the difference is 3, we can use a system of equations.

Let's call the two numbers x and y. We can set up the following equations:

x + y = 11

x - y = 3

Now we can solve this system of equations by adding the two equations together:

(x + y) + (x - y) = 11 + 3

Simplifying, we get:2x = 14

Dividing both sides by 2, we get:x = 7

Now we can substitute this value of x back into one of the original equations to solve for y:7 + y = 11

Subtracting 7 from both sides, we get:y = 4

So, the two numbers are 7 and 4.

The regular price of the hat is $22.5

We know that the discount price of a hat is $18, so we need to find the regular price of the hat.

Let:

x: Regular price

So:

[tex]\\ \\ Regular \ price \ - \ percentage \ discount \times Regular \ price =discount \ price \\ \\ x-20\%(x)=18 \\ \\ x-0.20x=18 \\ \\ 0.8x=18 \\ \\ x=\frac{18}{0.8} \\ \\ x=22.5[/tex]

Finally, the regular price of the hat is $22.5

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Answer:

C(450)=2,446,250

Step-by-step explanation:

C(450)=325(450)+ 2,300,000

C(450)=146,250+2,300,000

C(450)=2,446,250

The profit from producing and selling x laser printers is given by the equation P(x) = 125x - 2300000.

The question is about the calculation of profit in a business scenario. The calculation of profit involves finding the difference between the cost of production and the revenue obtained from selling the products. In this case, the cost function C(x) = 325x + 2300000 defines the cost of producing x laser printers. Each printer is sold for $450, which means the revenue function R(x) can be represented as R(x) = 450x.

To find the profit, we subtract the cost from the revenue. This gives us the profit function P(x) = R(x) - C(x) = 450x - (325x + 2300000). Simplifying this, we get P(x) = 125x - 2300000. This equation tells us the profit made from producing and selling x laser printers.

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The actual rate of the mortgage is 5.27%.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, we're taking two mortgages for a total of $100,000 for 30 years,

Now, we can find the actual rate of the mortgage by finding the weighted average of the two rates.

Hence, The weights in this case will be the proportion of loan taken at each rate;

We have

Rates       Weights      Rates  × Weights

4.15           0.80           4.15 x 0.80 = 3.32

9.75           0.20          9.75 x 0.20 = 1.95

Hence, The actual rate of the mortgage is,

⇒ 3.32 + 1.95

⇒ 5.27%.

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Answer:

mine was 5.45$

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

you add 17+9 and get 26.

Answer:F(x) is a negative number with a small absolute value

Step-by-step explanation:

The true statement about the graph of f(x) is (a) f(x) is a negative number with a small absolute value

From the given graph, we have the following highlights:

The above means that, when x is a negative number with a large absolute value, then the absolute value of x is a very large positive number.

And so the value of f(x) would be a small absolute value negative number

Hence, the correct option is (a) f(x) is a negative number with a small absolute value

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Answer:

z = 73

x = 15

Step-by-step explanation:

Since z and (5x +32) share a straight line, adding them would equal 180.

(5x+32) + z = 180

Since z is 73, we can replace z

(5x + 32)  + 73 = 180

(5x + 32) = 107

(5x) = 75

x = 15

When number D (which is 92) is divided by 6, the remainder is 2.

Based on the information given, when D is divided by 15, the result is 6 with a remainder of 2, so we can express D as 15*6 + 2 = 92. Now let's find out what happens when D (92) is divided by 6. When we do, we find that 92 divided by 6 gives us 15 with remainder 2. So, the remainder when D is divided by 6 is 2.

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