write the equation in slope-intercept form. (-7,-2), (2,3)

Answer:

x < 6

Step-by-step explanation:

Step 1: Subtract 12 from both sides.

Thus, the answer is x < 6.

Answer:

A.) 1644

given equation:  [tex]\sf p(x)=x^4-9x^3-5x^2-3x+4[/tex]

To be divided with ( x + 5 )

Then,

x + 5 = 0

x = -5

Put this into the equation to find the remainder.

[tex]\sf p(x)=(-5)^4-9(-5)^3-5(-5)^2-3(-5)+4[/tex]

[tex]\sf p(x)= 1644[/tex]

Use the remainder theorem to find the remainder when p(x)=x^4-9x^3-5x^2-3x+4 is divided by x+5

B.) 1244

C.) -636

D.) -644

~~~~~~~~~~~~~~~~~~~~~

[tex]\sf p(x)=x^4-9x^3-5x^2-3x+4[/tex]

[tex] \sf p(x) = (-5)^4 - 9(-5)^3 (-5)^2 - 3 (-5) + 4 [/tex]

[tex] \sf \green {(p(x) = 1644)} [/tex]

#CarryOnLearning

#LibreAngMatuto

The value of A in solving the considered quadratic equation by completing the squares method is given by: Option

Suppose the considered quadratic equation is of the form [tex]ax^2 + bx + c = 0[/tex]

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic, as shown below:

[tex]ax^2 + bx + c = 0\\ax^2 + bx = -c\\\\\text{Multiplying 4a on both the sides}\\4a^2x^2 + 4abx = -4ac\\\\\text{Adding }b^2\text{ on both the sides}\\4a^2x^2 + 4abx + b^2 = b^2 -4ac\\or\\(2ax +b)^2 = b^2 - 4ac\\2ax + b = \pm \sqrt{b^2 - 4ac}\\\\x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

This provides two solution to the considered quadratic equation. These solutions can be real, or imaginary.

For the considered case, the quadratic equation is:

[tex]10x^2 + 40x - 13 = 0[/tex]

Applying the method as Isoke did, we get:

[tex]10x^2 + 40x - 13 = 0\\10x^2 + 40x = 13\\10(x^2 + 4x) = 13[/tex]

Therefore, we get the value of A as 10.

Learn more about completing the squares here:

https://brainly.com/question/9339524

Answer:

C

Step-by-step explanation:

edge 2022

Answer:

-5 > x

Explanation:

To do this, you have to use the inverse operations. Subtract 6 from each side. That equals -5. Bring everything down and that is your answer!

Answer:

Dogs: 44.44 Cats: 55.556

Step-by-step explanation:

*this is only if you are allowed to use a calculator*

1. You have to add the total of the cats and dogs

Why? Here, let me put it this way. You have a test with two sections: math and science. If there are 2 Maths Questions and 2 Science questions, what percent of the test are math questions? You would not say 2/2 and say 100. You would say 2/4 because it is obvious. You do the same in this case but it is not as noticeable because you are dealing with bigger numbers.

15 + 12 = 27.

2. Solve

a. There are 15 dogs and 12 cats that makes up 27 pets total.

So you have to do 12/27 for cats,

15/27 for dogs. The fractions equal one and It shows you how much of one is there compared to the total.

b. Simplify

You can simplify these fractions:

for 12/27, divide the numerator and the denominator by 3.

You get 4/9

Divide 15/27 for dogs by 3 as well to get 5/9.

5+4 is 9, which means that I am doing the math correctly.

According to the calculator, 5/9 is 55.556, and 4/9 is 44.444

They should be accurate because there are more dogs than cats and the percentage for dogs are higher. Hence, this is correct.

Cats = 4/9 = 44.444%

Dogs = 5/9 = 55.556%

Hope this helps :)

-jp524

The value of alpha is 0.26, assuming a confidence level of 74%.

The significance level α is the probability of making the wrong decision when the null hypothesis is true.

Alpha levels which is also called as significance levels are used in hypothesis tests.

Given

When finding the margin of error for the mean of a normally distributed population from a sample.

The confidence interval = 74% = 0.74.

The value of the alpha is given by;

[tex]\rm \alpha =1- Confidence \ interval[/tex]

Substitute all the values in the formula

[tex]\rm \alpha =1- Confidence \ interval\\\\\alpha=1-0.74\\\\\alpha=0.26[/tex]

Hence, the value of alpha is 0.26, assuming a confidence level of 74%.

To know more about confidence interval click the link given below.

https://brainly.com/question/26725727

Answer: 245 degrees

Step-by-step explanation:

The solution is, SA =36π unit² is the surface area of the sphere which is correct answer Option(A).

We know that, The formula for the surface area of a sphere of radius

R is 4πR².

here, we have,

According to question, we have the radius of sphere as 3 units.

So, surface area of a sphere

⇒4πR²

⇒4π(3)²

⇒36π

The surface area of a sphere is given by

SA = 4 pi r^2

SA = 4 * pi * 3^2

SA =36 pi

SA =113.10

Hence, the surface area of the sphere is 36π unit².

Learn more about  surface area of a sphere here:

brainly.com/question/14692728

#SPJ7

Step-by-step explanation:

AC+CB+BA=180

2x+23+3x-8+4x+1=180

9x+16=180

9x=180-16

9x=164

x=164/9

x=18.2

Answer:

329.9 ft^2

Step-by-step explanation:

area = π · r^2

diameter = 2r so radius = 10.25

area = 3.14 · 10.25^2

10.25^2 = 105.06

3.14 · 105.06 = 329.9 ft^2

Given :-

[tex] \\ \\ [/tex]

To find :-

[tex] \\ \\ [/tex]

Solution:

To find area first we should know value of radius.

Diameter is given , and from diameter we can find value of radius.

[tex] \\ [/tex]

We know :-

[tex] \bf \ddag\boxed{\rm Diameter =2 \: radius } \bf \ddag[/tex]

By using this formula we can find radius.

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf Diameter =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf 20.5 =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \dfrac{205}{10} =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \cancel\dfrac{205}{10} =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \dfrac{41}{2} =2 \: radius [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf2 \: radius = \dfrac{41}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \: radius = \dfrac{41}{2 \times 2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\sf \: radius = \dfrac{41}{4} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow\bf \: radius = 10.25[/tex]

[tex] \\ \\ [/tex]

Now let's find Area

we know :-

[tex] \bf \ddag\boxed{\rm Area = \pi radius {}^{2} } \bf \ddag[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi radius {}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi (10.5) {}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi \times 10.5 \times 10.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = \pi \times 110.25 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf Area = 3.14 \times 110.25 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \bf Area =346.19~ {ft}^{2} \{approx\}\\[/tex]

Answer:

x=11

Step-by-step explanation:

Subtract 3 from both sides

x+3=2x-8

x+3-3 =2x-8-3

Then simplify it

x=2x-11

Again, subtract 3 from both sides

x-2x=2x-11-2x

Simplify

-x=-11

Divide both sides and simplify and then you get x=11

y=30 x=60 that should be the answer sorry if it isnt

Answer:

3)  48 units²

6)  46 units²

Step-by-step explanation:

Question 3

This shape is a parallelogram with base of 8 units and height of 6 units.

Area of a parallelogram = base × height

                                        = 8 × 6

                                        = 48 units²

Question 6

This shape is a quadrilateral.  It is made up of 3 triangles and a rectangle (see attached image for how to divide the quadrilateral)

Area of rectangle = width × length

                              = 4 × 6

                              = 24 units²

Area of a triangle = 1/2 × base × height

Triangle 1:   1/2 × 2 × 4 = 4 units²

Triangle 2:   1/2 × 6 × 2 = 6 units²

Triangle 3:   1/2 × 4 × 6 = 12 units²

Total area = 24 + 4 + 6 + 12 = 46 units²

Given :

[tex]\: {\qquad \sf \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]

⠀

To Find :

⠀

Solution :

[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]

⠀

Subtracting [tex] \sf \: \dfrac{10}{4} [/tex] from both sides :

[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x \: \: \cancel{+ \dfrac{10}{4}} \: \: \cancel{- \dfrac{10}{4}} = - \dfrac{6}{8}x - 10 - \dfrac{10}{4} }[/tex]

⠀

Adding [tex] \sf \dfrac{6}{8} x[/tex] to both sides :

[tex]{\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{6}{8}x = \cancel{- \dfrac{6}{8}x } \: \: \cancel {+ \: \dfrac{6}{8}x} - 10 - \dfrac{10}{4} }[/tex]

[tex]{\qquad \sf \dashrightarrow \dfrac{4}{6} x + \dfrac{6}{8}x = - 10 - \dfrac{10}{4}}[/tex]

⠀

Adding the like terms :

[tex]{\qquad \sf \dashrightarrow \dfrac{32x + 36x}{24} = \dfrac{ - 40 - 10}{4} }[/tex]

[tex]{\qquad \sf \dashrightarrow \dfrac{68x}{24} = \dfrac{ - 50}{4} }[/tex]

[tex]{\qquad \sf \dashrightarrow \dfrac{34x}{12} = \dfrac{ - 25}{2} }[/tex]

⠀

By doing cross multiplication we get :

[tex]{\qquad \sf \dashrightarrow {68x} = - 300 }[/tex]

[tex]{\qquad \sf \dashrightarrow {x} = \dfrac{ - 300}{68} }[/tex]

[tex]{\qquad \bf \dashrightarrow {x} = \dfrac{ - 75}{17} }[/tex]

Answer:

5 boxes

Step-by-step explanation:

Divide 15 by 3 and you'll get your answer

Hope that helps!

Step-by-step explanation:

1 = $3

x = $15

crossmultiply

3x = 15

x = 15/3

x = 5 boxes of cereal

if this helped pls give brainliest

Answer: y-4=1.2(x-5)

Step-by-step explanation:

Answer:

(x-2)2=8

Step-by-step explanation:

Using Distance formula ,

[tex]\bold{d(AB) = \sqrt{ (x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } }\\ \\\bold{5 = \sqrt{(5 - 1) {}^{2} + (2 - y) {}^{2} }} \\ \\\bold\blue{ squaring \: both \: sides\:,} \\ \\\bold{ 25 = (5 - 1) {}^{2} + (2 - y) {}^{2} }\\ \\\bold{ 25 = (4) {}^{2} + (4 + y {}^{2} - 4y)}\\ \\ \bold{25 = 16 + y {}^{2} - 4y + 4}\\ \\ \bold{25 = y {}^{2} - 4y + 20}\\ \\\bold{ y {}^{2} - 4y - 5 = 0}\\ \\\bold{ y {}^{2} - 5y + y - 5 = 0} \\\\\bold{ y(y - 5) + 1(y - 5) = 0}\\ \\\bold{ (y + 1)(y - 5) = 0 }\\\\\bold{ y = - 1 \: or \: y = + 5}[/tex]

therefore ,

possible coordinates of A are either ( 1 , -1 ) or ( 1 , 5 )

hope helpful~

x+10 =5 that is the answer because look at the example

Answer:

7. uses like or as to compare two things

8. personification - in this case, the tropical storm is being given the human quality of sleeping

Hope this helps!

Answer:

27 days

Step-by-step explanation:

15% of 180 = 27

Step-by-step explanation:

error

Polynomial error: You have used illegal character ( = )..

Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

49-((2+5)*2)=0

STEP

1

:

Equations which are never true:

1.1 Solve : 35 = 0

This equation has no solution.

A a non-zero constant never equals zero.

No solutions found

Answer:

Hello

Step-by-step explanation:

The answer would be 165

Hope this helps

Answer:

2y = 8

Step-by-step explanation:

an equation contains an = symbol.

the others are inequalities.

also, from looking at the question, you can assume that it is 2y = 8 because the other to are the same type of inequality

Answer:

1224

Step-by-step explanation:

group of 2 friends each receive 612

so you do 612 x 2 = 1224

[tex] \frac{1}{2} (29 - x) = 7.75[/tex]

[tex] \frac{1}{2} ( - x + 29) = 7.75[/tex]

[tex] \frac{1( - x + 29)}{2} = 7.75[/tex]

[tex] \frac{ - x + 29}{2} = 7.75[/tex]

[tex]2· \frac{ - x + 29}{2} = 2·7.75[/tex]

[tex] - x + 29 = 2·7.75[/tex]

[tex] - x + 29 = 15.5[/tex]

[tex] - x + 29 = 15.5 - 29[/tex]

[tex] - x = - 13.5[/tex]

[tex] \frac{ - x} {- 1} = \frac{ - 13.5 }{ - 1 } [/tex]

[tex]x = 13.5[/tex]

So, the value of x is 13.5.

Answer:

yes

Step-by-step explanation:

as you can see if you count them they are

Answer:

The shape on the very left of the picture is not a quadrilateral. However, the three other shapes are quadrilaterals.

Step-by-step explanation:

A shape is a quadrilateral if it has four sides and four angles. The shape on the left has five sides and five angles, therefore, not a quadrilateral.