How do you solve f(x)=7

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x+4)(x-7)

x^2-7x+4x-28

[tex]x^{2}-3x-28[/tex]

[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]

This equation has the next form:

[tex] {ax}^{2} + bx + c = 0[/tex]

To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:

[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]

Then, the first case has two complex solutions.

In the second case,

[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]

The discriminant in this case is:

[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]

Then, the second case has two complex solutions.

In the third case,

[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]

The discriminant in this case is:

[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]

Then, the third case has two real solutions.

In the fourth case,

[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]

The discriminant in this case is:

[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]

Then, the fourth case has two complex solutions.

Answer:

result = 15cm

Step-by-step explanation:

Hi! to can solve this, we have to keep in mind this formulas:

A1 = π [tex]r^{2}[/tex]                     ; where r = radius

A2 = (π [tex]r^{2}[/tex]) * (h)           ; where h= height

now  we solve:

first, we have to calculate the area of the circumference

A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π [tex]r^{2}[/tex]) * (h)  

h = 15cm

Answer:

3/16

Step-by-step explanation:

5 blue, 6 red, 3 black, and 2 yellow

total number of marbles = 5 + 6 + 3 + 2 = 16

p(black) = (number of black marbles)/(total number of marbles)

p(black) = 3/16

Answer: 3/16

Answer:

3/16

Step-by-step explanation:

add up all of the marbles then find out how many black marbles you have. Then you end up with 3/16

Answer:

∡x°=35°

Step-by-step explanation:

x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°

Answer:

The 2nd option is correct

Step-by-step explanation:

The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.

Answer:

Imma have to say B but I'm not sure

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:

Answer:

45/4     7/2     9/2

Step-by-step explanation:

I'm not sure if this is what you wanted so if its not sorry.

Answer:

See below

Step-by-step explanation:

Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:

(ax+p)(x+q) where p+q=b and pq=c

Answer:

I DONT KNOW  THE ANSWER

Step-by-step explanation:

The triangles XYZ and ABC are congruent by SAS postulate.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given two triangles XYZ and ABC.

If the two triangles are congruent, their corresponding sides and angles must be equal.

Given,

∠Y = ∠B

XY ≅ AB

YZ ≅ BC

SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.

So, ΔXYZ ≅ ΔABC by SAS postulate.

Hence the two triangles are congruent by SAS postulate.

Learn more about Congruence of Triangles here :

https://brainly.com/question/20521780

#SPJ7

Answer: 42 Units Cubed

Step-by-step explanation:

Volume of a Prism is typically length * width * height

in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied

so now just multiply the length, which is 8, to the area of the base to find the volume

[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]

Answer:

[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]

Answer:

your answer is "17.6666666667"

Step-by-step explanation:

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

8

Step-by-step explanation:

There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.

There are 2 ways he wrote it: French and English

4*2=8

He wrote his name in 8 different ways.

Answer:

The hight written in digital is 14286

Answer:

142

Step-by-step explanation:

180-10-28 = 142

hope this helps

Answer:

∡3=142°

Step-by-step explanation:

∠3 and 38° are supplementary angles, which means their sum must equal 180°, therefore, we make an equation and solve for ∡3:

∠3+38°=180°

∡3=142°

So ∡3=142°

Answer:

true

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

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

the perimeter of a triangle = sum of the side lengths

A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees  

Answer:

Hi how are you doing today Jasmine

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

Answer:

B

Step-by-step explanation:

Answer:

10 what

Step-by-step explanation:

Answer:

1350π [tex]cm^3[/tex] should be your answer

Step-by-step explanation:

15 x 15 x π = 225π

225π x 6 = 1350π