what is the solution to the system of equations represented by these two lines ?!!

Answer:

This polynomial can be simplified to a difference of squares

[tex]16a^2 - 4a + 4a - 1=(4a-1)(4a+1)[/tex]

Step-by-step explanation:

Simplify the expression

[tex]16a^2 - 4a + 4a - 1\\\\16a^2- 1[/tex]

remember that 4 ^ 2 = 16

Therefore

[tex]16a^2- 1= 4^2a^2 -1[/tex]

Remember that

[tex](4a) ^ 2 = 4 ^ 2a ^ 2[/tex]

[tex]4^2a^2 -1=(4a)^2 -1[/tex]

As [tex]1 ^ 2 = 1[/tex] then

[tex](4a)^2 -1= (4a)^2 -1^2[/tex]

Remember that [tex]c ^ 2 -b ^ 2 = (c + b) (c-b)[/tex]

In this case [tex]c = 4a[/tex] and [tex]b = 1[/tex]

Finally

[tex](4a)^2 -1^2 = (4a-1)(4a+1)[/tex]

Answer:

5

Step-by-step explanation:

Mean is the Average of all the observations.

Here there are 10 observations.

And The total sum of these observations is: 1+2+2+3+3+4+7+7+7+9=45

So mean = Total sum/ Total no: of observations

-> Mean =45/10= 4.5

Hope it helps...

Regards;

Leukonov/Olegion.

Answer:

A

Step-by-step explanation:

This one is best done by doing a pre factor.

140 = 14 * 10 Now all you need do is factor those two numbers.

140 = 7*2 * 5 * 2

Rearranging this you get 2 * 2 * 5 *7

A

Final answer:

The prime factorization of 140 is found by dividing it by the prime numbers 2, 2, 5, and 7 in sequence, resulting in 2 x 2 x 5 x 7, which corresponds to option A.

Explanation:

The prime factorization of a number is the expression of the number as a product of its prime factors. To find the prime factorization of 140, we can use a factor tree or continuously divide by prime numbers. Beginning with the smallest prime number, 2, we divide 140 by 2 to get 70. Then, we divide 70 by 2 again to get 35. After that, we divide 35 by its smallest prime factor, which is 5, to get 7. Since 7 is already a prime number, we have completed the factorization. So, the prime factorization of 140 is:

2 x 2 x 5 x 7

Therefore, the correct answer is A.2 x 2 x 5 x 7.

Answer: A; Linear, Strong

Step-by-step explanation: A linear scatterplot is normally when most of the dots on the scatterplot board are quite close to each other in a line. When it is strong it when most of the dots seem to form an actual line.

I hope this info helps!

A scatterplot categorized as "A: Linear, Strong" indicates a distinct and well-defined linear relationship, with closely clustered data points along the trend line, highlighting a robust association between the variables.

The correct answer is option A.

The scatterplot's visual characteristics provide insights into the nature of the relationship between two variables. In this case, when the answer is categorized as "A: Linear, Strong," it implies that the scatterplot predominantly exhibits a linear trend, suggesting a consistent and directional association between the variables. In a linear scatterplot, most data points align closely along a straight line, indicating a systematic relationship.

The term "strong" further emphasizes the degree of correlation or association between the variables. A strong linear scatterplot implies that the points are tightly clustered around the line, indicating a robust and noticeable relationship. The strength of the association is a reflection of how well the data points conform to the linear pattern, emphasizing the reliability of the trend observed.

In summary, when a scatterplot is described as "A: Linear, Strong," it signifies a clear and well-defined linear relationship between the variables, with data points forming a closely packed arrangement along the trend line.

Answer:

[tex]m=-2[/tex]

Step-by-step explanation:

we know that

The ratio of rise to run is equal to the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](-1,7)\ (4,-3)[/tex]

Substitute the values

[tex]m=\frac{-3-7}{4+1}[/tex]

[tex]m=\frac{-10}{5}=-2[/tex]

Answer:

sw=t

Step-by-step explanation:

300 times the number of weeks,equals the total income

[tex]x=180-(51+62)=180-113=\boxed{67}[/tex]

Answer:

x = 67

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 to obtain x, that is

x = 180° - (62 + 51)° = 180° - 113° = 67°

Answer:

aroma.

bouquet.

fragrance.

perfume.

savor

Step-by-step explanation:

Answer:

ambrosial, aromatic odoriferous, balmy, blend of floral scents

Step-by-step explanation:

brainiest please

Answer:

I dont have idea what I need to the to help you

Step-by-step explanation:

ANSWER

[tex]log_{15}( {2}^{3} ) = 3 \: log_{15}( {2} )[/tex]

EXPLANATION

According to the power property of logarithms:

[tex] log_{x}( {y}^{n} ) = n \: log_{x}( {y} )[/tex]

The given logarithm is

[tex]log_{15}( {2}^{3} ) [/tex]

When we apply the power property to this logarithm, we get,

[tex]log_{15}( {2}^{3} ) = 3 \: log_{15}( {2} )[/tex]

Answer:

The required expression is [tex]3\log_{15}2[/tex].

Step-by-step explanation:

According to the power property of exponent,

[tex]\log_ax^b=b\log_ax[/tex]

The given expression is

[tex]\log_{15}2^3[/tex]

Here a=15, x=2, b=3.

Using power property of exponent the given expression can be written as

[tex]\log_{15}2^3=3\log_{15}2[/tex]

Therefore the required expression is [tex]3\log_{15}2[/tex].

Answer:64

Step-by-step explanation:

QUESTION 1

We want to solve the linear equation,

–12 + 3b – 1 = –5 – b

Group similar terms:

3b+b=-5+1+12

Combine similar terms,

4b=8

Divide both sides by 4

b=2.

QUESTION 2

We want to find the equation of the given line that passes through

(-3,2) and (2,-1)

The slope of this line is

[tex]m = \frac{ - 1 - 2}{2 - - 3} = - \frac{3}{5} [/tex]

The equation is given by the formula:

[tex]y-y_1=m(x-x_1).[/tex]

We plug in the known values to obtain;

[tex]y + 1= - \frac{3}{5} (x- 2)[/tex]

[tex]y + 1= - \frac{3}{5} (x - 2)[/tex]

[tex]5y + 5 = - 3x + 6[/tex]

[tex]3x + 5y = 1[/tex]

Answer: 16/25

4/10 divided by 5/8 = ?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal or inverse of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes -

4/10 x 8/5 = ?

For fraction multiplication, multiply the numerators and then multiply the denominators to get -

Numerators: 4 x 8 = 32

Denominators: 10 x 5 = 50

Fraction: 32/50

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 32 and 50. The GCF (Greatest Common Factor) would be 2.

Numerator: 32 / 2 = 16

Denominator: 50 / 2 = 25

Fraction: 16/25

4/10 divided by 5/8 = ?

Cross multiply -

Numerator x Denominator: 4 x 8 = 32

Denominator x Numerator: 10 x 5 = 50

Fraction: 32/50

Reduce by dividing both the numerator and denominator by the Greatest Common Factor, which is 2.

Numerator: 32 / 2 = 16

Denominator: 50 / 2 = 25

Fraction: 16/25

The graph of the inequality equation 3y-5x>-6 will have a dotted line and shaded left wards (Option D).

How to graph the inequality equation?

The graph of the inequality equation given is sketched by simplifying the equation as shown below;

The given inequality equation;

3y - 5x > - 6

3y > 5x - 6

y > 5x/3 - 2

when x = 0, the value of y becomes;

3y - 5x > - 6

3y - 0 > - 6

y > - 2

when y = 0, the value of x is calculated as;

3y - 5x > - 6

0 - 5x > - 6

x < 6/5

The graph of the inequality equation 3y - 5x > - 6 is shown in the image attached.

Answer:

I would say that it is all of them besides the 35% of the participants do not like to surf.

The correct statements are:

A)

The total number of students who were studied= 160

Number of boys= 105

Hence, Percentage of boys is calculated as:

[tex]Percent\ Boys=\dfrac{105}{160}\times 100\\\\i.e.\\\\Percent\ Boys=\dfrac{1050}{16}\\\\\\Percent\ Boys=65.625\\\\which\ is\ approximately\ equal\ to:\\\\Percent\ Boys=66\%[/tex]

B)

Number of students who like to surf=125

Hence,

Percent who like to surf is calculated as:

[tex]=\dfrac{125}{160}\times 100\\\\\\=\dfrac{1250}{16}\\\\=78.125\%[/tex]

C)

Number of boys=105

and number of boys who like to surf=80

Hence, the proportion of boys who like to surf is:

80/105

D)

Number of people who do not like to surf=35

Number of girls who do not like to surf=10

Hence,the proportion of girls who do not like to surf is:

              10/35

E)

Proportion of boys who like to surf=80/105=0.76190

and proportion of boys who like to surf= 45/55=0.8181

Hence, the proportion of girls who like to surf are more than those of boys who like to surf.

(  Since,   0.8181 < 0.76190 )

Answer:

37ft³

Step-by-step explanation:

Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³

Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³

Volume of the water = volume of the fish tank - volume of the cubic stone

i.e Volume of the water = 45ft³ - 8ft³ = 37ft³

See attached picture for the answers.

Answer:

Step-by-step explanation:

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

The area of a square is length times width:

Area = length x width

^^^This is the same for a rectangle too

The only difference is that the length of all the sides of a square are equal to each other, so to find the area of a square you are essentially multiplying on side with it self

Look at the example below

Hope this helped!!!

ANSWER

[tex]x = - 3 \: \: or \: \: x = 3[/tex]

The degree is two so it must have more than one solution.

EXPLANATION

The given equation is

[tex] {x}^{2} = 9[/tex]

Let us use the square root method to solve this equation.

Since the degree of x is two, the fundamental theorem of algebra says it must have 2 roots.

We take square root to obtain,

[tex]x = \pm \sqrt{9} [/tex]

[tex]x = \pm3[/tex]

Split the plus or minus sign to obtain,

[tex]x = - 3 \: \: or \: \: x = 3[/tex]

The solutions to the equation x² = 9 are x = 3 and x = -3. Because squares of both positive and negative numbers give the same result, quadratic equations usually have two solutions.

The solutions to the equation x² = 9 are x = 3 and x = -3. This is because square roots can be both positive and negative. When you square a positive number and a negative number, the result is the same. Hence, the equation x² = 9 could come from squaring either 3 or -3, which implies that x can be either 3 or -3. Therefore, quadratic functions or second-order polynomials, like this equation, usually have two solutions.

https://brainly.com/question/30098550

#SPJ3

i do not speak spanish

Answer:

your answer is {-2,-3}

Volume of the sphere is defined as: [tex]V=\frac{4\pi r^3}{3}[/tex]

Put in the data.

[tex]V=\frac{4\cdot3.14\cdot3^3}{3}=\boxed{113.04}[/tex]

The point on the number line of real numbers is 113.04

Hope this helps.

r3t40

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of an area of a square with side z:

A = z²

We have z = 3/2. Substitute:

A = (3/2)² = (3/2)(3/2) = 9/4

[tex]\text{Hey there!}[/tex]

[tex]\text{a will automatically equal one because it is unknown}[/tex]

[tex]\text{First you have to distribute your negative sign}\downarrow[/tex]

[tex]\text{Like: 2a - 5+ (-1)(3a+1)}[/tex]

[tex]\text{We get: 2a+(-5)+(-1)(3a)+(-1)(1)}[/tex]

[tex]\text{-1(3a)= -3a}[/tex]

[tex]\text{-1(1)= -1}[/tex]

[tex]\text{Our new equation becomes: 2a + (-5) + (-3a) + -1}[/tex]

[tex]\text{After solving that COMBINE YOUR LIKE TERMS}[/tex]

[tex]\text{\underline{2a}+ -5 + \underline{-3a} + -1 }[/tex]

[tex]\text{(2a + -3a)+ (-5 + -1)}[/tex]

[tex]\text{2a + -3a = -1a}[/tex]

[tex]\text{-5 + -1 = -6}[/tex]

[tex]\text{Now we can replace -1 with the value of -a}[/tex]

[tex]\boxed{\boxed{\text{Thus, your answer is: D. -a - 6}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

False because x should have only one y

Answer:

4

Step-by-step explanation:

Ok, so from what I understand 6+ half of the apples equals 8... so that means there is four apples.

4 divided by 2 = 1/2 which is 2 plus 6 equals 8

This is my first brainly answer!

I hope this is correct and helps! :)

Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

[tex]m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ[/tex]

The angles in any triangle add to 180 degrees in measure, and [tex]\angle MLK\congruent\angle MLP[/tex] and [tex]m\angle LMW=m\angle LMP[/tex], so that

[tex]m\angle MLK+m\angle LPM+m\angle LMP=180^\circ[/tex]

[tex]\implies\boxed{m\angle LMW=67^\circ}[/tex]

Answer:

you can see the solution in the photo i have uploaded

Answer:

Step-by-step explanation:

If all we need to do is to evaluate this expression, a calculator is one way to go.

Here's what I'd type in for the first expression:

(2*4^(2/3))^1/3 = 1.7145

... and for the second expression:

128^(1/3) = 5.0397

Therefore, the first expression, divided by the second, is 0.3402.

Answer:

[tex] a = \frac { \sqrt { 5 } } { 1 5 } ,\:a = -\frac {\sqrt{5}}{15}[/tex]

Step-by-step explanation:

We are given the following expression which are to solve for a and give the answer in radical form:

[tex]\frac{2}{3a^2} =30[/tex]

To solve this, we will multiply both the sides by [tex]3a^2[/tex] to get:

[tex]\frac{2}{3a^2}\cdot \:3a^2=30\cdot \:3a^2[/tex]

Simplify it to get:

[tex]2=90a^2[/tex]

[tex] a = \frac { \sqrt { 5 } } { 1 5 } ,\:a = -\frac {\sqrt{5}}{15}[/tex]