Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

[tex]\frac{9}{3} =\frac{15}{x}[/tex]

[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]

hope this helps

Answer:

  (a)  (2x +7), (x -4)

  (b)  (-7/2, 0), (4, 0)

Step-by-step explanation:

When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.

Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:

  -56 = -56(1) = -28(2) = -14(4) = -8(7)

Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.

At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.

  2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x

  (2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms

  2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms

  (2x +7)(x -4) = 0 . . . . . . . . . the factored equation

The factors of this equation are (2x +7) and (x -4).

__

The x-intercepts are the values of x that make the factors zero.

  2x +7 = 0 . . . looking for x that makes the first factor zero

  2x = -7 . . . . . subtract 7

  x = -7/2 . . . . divide by the coefficient of x

__

  x -4 = 0 . . . . looking for x that makes the second factor zero

  x = 4 . . . . . . add 4

The x-intercepts are x = -7/2 and x = 4.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3. Given this quadratic equation, 2x²-x-28= 0.

(a) List the factors of this equation.

(b) Determine the x-intercepts

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

(a) (x-4) and (2x+7)

(b) x=4 and x=-7/2

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[tex]\huge\bold\orange{SOLUTION:}[/tex]

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#CarryOnlearning

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]

[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

Answer:

The answer is c when u solve for x it gives 0 and for y gives 2

Answer:

16.4 TRUST ME

Step-by-step explanation:

Mark as brainliest

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

                                              -1/3x + 5 -5 ≤ 2 - 5

                                              -1/3x ≤ -3

                                               -1/3x/(-1/3) ≤ -3/(-1/3)

                                               x ≤ -9

                                               x  ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

Answer:

Step-by-step explanation:

The solution is the point where the lines cross:  (-6,2)

Youi can also solve the equations.

y=1/2x+5

2x+3y=-6

Use the first in the second equation to find x:

2x+3y=-6

2x+3[(1/2)x + 5]=-6

2x + 1.5x + 15 = -6

3.5x = -21

x = -6

Use this in either equation to find y:

y=1/2x+5

y=1/2[-6]+5

y = 2

The answer is (-6,2)

Answer: put 14

Step-by-step explanation:

Answer:

YES, HAVE A GREAT DAYYYYYYYYYYYY!!!

Step-by-step explanation:

THX 4 THE POINTS!!!!!

Answer:

x=15

Step-by-step explanation:

the basic property is: AB/AD=BC/CD, for more info see the attachment.

Answer:

-2x^2 + 3x + 4

Hope this helps. :D

Step-by-step explanation:

Pls give brainliest.

Answer: 64.80% not 100% positive if i did that math right but thats what i got

Step-by-step explanation:

38.8679

Step-by-step explanation:

x equals 1.5 because it needs to be multplied by 2

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

Answer:

Here is a pic hope this helps! <3

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y=-1/2x+5/2

y=mx+b

m=slope

m=-1/2

The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)

We want to factor the algebraic expression;

26r³s + 52r^(5) - 39r²s⁴

Now, we need to first find the highest common factor here and factorize out.

First of all for the letters;

The highest common factor of the letters is r²

Factors of 26 = 1, 2, 13, 26

Factors of 39 = 1, 3, 13, 39

Factors of 52 = 1, 2, 4, 13, 26, 52

The highest common factor for the 3 numbers is 13.

Thus,in total, the highest common factor for the algebraic expression is 13r².

Finally, we have;

13r²(2rs + 4r³ - 3s⁴)

Read more about factorization of algebraic expression at; https://brainly.com/question/11434122

The answer is 34.54 cm

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

Learn more about circumference of a circle here:

https://brainly.com/question/14200825

#SPJ1

Answer:

327.21 euros.

Step-by-step explanation:

Answer:66 slower speed

Step-by-step explanation:

Answer:  18/7

This approximates to 2.5714

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

Explanation:

The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.

Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:

As those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.

From that, we can form the proportion below to solve for x

AB/AD = BC/DE

3/(3+4) = x/6

3/7 = x/6

3*6 = 7*x

18 = 7x

7x = 18

x = 18/7

You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.

Answer:

8.40665 Step-by-step explanation:

Answer:

I Don't know

Step-by-step explanation:

I don't know I don't know I don't know

Answer:

9/20

Step-by-step explanation:

5×9=45

5×20=100

we need to convert it in lowest term by dividing it..

Answer:

$270 in all

Just multiply 9x20 and 9x10 and add them together