What is the complete factorization of x2 + 4x - 45?
OOO
A. (x + 15)(x - 3)
OB. (x-9)(x + 5)
C. (x+ 9)(x - 5)
D. (x - 15)(x+3)

Answer:

x=2 , 1

Step-by-step explanation:

the zeros are the value of X

-x+2x+x-2

-x(x-2)+x-2

(x-2)×(x+1)

x = 2 , 1

Answer:

-16

Step-by-step explanation:

G(x)=2x-5 h(x)=4x+5

g(3)-h(3)

g(3) = 2(3) -5 = 6-5 =1

h(3) = 4(3) +5 = 12 +5 = 17

g(3)-h(3) = 1-17 = -16

Answer:

-16

Step-by-step explanation:

G(x)=2x-5

G(3)=2(3)-5

=6-5

=1

H(x)=4x+5

H(3)=4(3)+5

=12+5

=17

G(3)-H(3)

1-17

=-16

Therefore the final answer is -16

The solution of the system is x = - 1 and y = 8/3.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

We have a system of equations,

2x+3y=6  {equation 1}

-4x+3y=12  {equation 2}

Subtracting equation 2 to equation 1,

2x - (-4x) = 6 - 12

6x  = - 6

x = - 1.

And y = 8/3

Therefore, the solution is x = - 1 and y = 8/3.

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Answer:

The correct answer is D

Step-by-step explanation:

If you find the length of the two adjacent sides, it will determine whether or not the figure is a square or not.

Good luck!

Answer:

T=14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

To find the possible coordinates of vertex C of an equilateral triangle with side AB on the coordinate plane, we calculate the midpoint of AB and use the length of the altitude to find two possible positions for C, approximated as (1, 6.2) and (1, -4.2).

Vanessa draws one side of an equilateral triangle on the coordinate plane at points A(-2, 1) and B (4, 1). To find the possible coordinates of vertex C, we first recognize that in an equilateral triangle, all sides are of equal length, and the altitude forms a 60-degree angle with the base.

Given points A(-2, 1) and B(4, 1), the distance AB is 6 units. Using the Pythagorean theorem in a 30-60-90 right triangle, the length of the altitude (half of the triangle height) from the midpoint of AB to C is 3√3. To find coordinate C, we add and subtract this distance from the midpoint of AB, which we calculate as ((-2 + 4)/2, (1 + 1)/2) = (1, 1).

Thus, the two possible coordinates for C are (1, 1 + 3√3) and (1, 1 - 3√3), which approximately are (1, 6.2) and (1, -4.2), rounding to the nearest tenth.

Answer:

28

Step-by-step explanation:

in order to evaluate for the value of x from this 2(x+5)=7x-5 , we will open the bracket and the evaluate for x.

solution

2(x+5)=7x-5

2x + 10 = 7x - 5

collect the like terms together

2x + 10 +5 = 7x

15 = 7x - 2x

15 = 5x

divide both sides by 5

15/5 = 5x/5

3 = x

x =3

so, to evaluate for 2x² + 10

will be

2x² + 10

2 (3)² + 10

2 x 9 + 10

18 + 10

28

Step-by-step explanation:

[tex]1km = 1000m \\ x = \frac{10000}{1000} \\ x = 10km[/tex]

Answer:

1

Step-by-step explanation:

IT means that that 1km is =10000m

Answer:

w=1  There are no extraneous solutions

Step-by-step explanation:

Multiply each side by 10w

10w ( 5/2w - 3/5w ) = 19/10 * 10w

Distribute

5*5 - 3*2 = 19w

25-6 = 19w

19 = 19w

Divide each side by 19

19/19 = 19w/19

1= w

Answer:

Electrostatic force

Step-by-step explanation:

The answer is Electrostatic force because physical contact isn't required here.

Answer:

c=−3 or c=7

Step-by-step explanation:

Step 1: Cross-multiply.

c/3= 7/c−4

c*(c−4)=(7)*(3)

c2−4c=21

Step 2: Subtract 21 from both sides.

c2−4c−21=21−21

c2−4c−21=0

Step 3: Factor left side of equation.

(c+3)(c−7)=0

Step 4: Set factors equal to 0.

c+3=0 or c−7=0

c=−3 or c=7

Answer:

10 units

Step-by-step explanation:

Use distance formula

distance D = root (  (1 - -5)^2  + (-6 - 2)^2 )

D = root (6^2  + 8^2)  =   root (100) = 10

Answer:

[tex]f(x) = 2 {x}^{2} - x - 9 \\ \\ a) \: plug \: x = - 2 \\ f( - 2) = 2 \times {( - 2)}^{2} - ( - 2) - 9 \\ f( - 2) = 2 \times 4 + 2 - 9 \\ f( - 2) =8 + 2 - 9 \\ f( - 2) =10 - 9 \\ \huge \red{ \boxed{ f( - 2) =1}} \\ \\ b) \: \: plug \: x = x - 2 \\ f(x - 2) = 2 {(x - 2)}^{2} - (x - 2) - 9 \\ f(x - 2) = 2 {( {x}^{2} - 4x + 4 )} - x + 2- 9 \\ f(x - 2) = 2 {x}^{2} - 8x + 8 - x + 2- 9 \\ \purple{ \boxed{\bold{f(x - 2) = 2 {x}^{2} - 9x + 1}}} \\ \\ c) \: \: plug \: x = r \\ \orange{\boxed{\bold{f(r) = 2 {r}^{2} - r - 9}}}[/tex]

Answer: A. 7 divided by 8.

Step-by-step explanation:

7/8 is the same as saying seven divided by 8.

The correct answer to the question: 'Which expression is equal to 7/8?' is A. 7 divided by 8. This is because the '/' in the fraction 7/8 represents division, so 7/8 is the same as '7 divided by 8'.

In Mathematics, when dealing with fractions, division, and multiplication, it's crucial to understand their relationships. The symbol '/' in a fraction actually represents division. So, the fraction 7/8 can be interpreted as '7 divided by 8'. Therefore, the correct answer to your question is: 'Which expression is equal to 7/8?' is A. 7 divided by 8.

On the other hand, options B and D (8 x 7, 7 x 8) represent multiplication and C (8 divided by 7) is a different division operation where 8 is divided by 7, not 7 by 8.

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Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

Answer:

-3/5

Step-by-step explanation:

The equation would be represented as 63 - 15 x X = 72

To further simplify the problem : 63 - 15x = 72

Then you subtract

- 15x = 9

- 3/5

Answer:

18 work for company A and 13 for company B

Step-by-step explanation:

Company A = A

Company B = B

A = B + 5

A + B = 31

B + 5 + B = 31

2B + 5 = 31

2B = 26

B = 13 -->

A = 13 + 5

A = 18

Answer:

the correct system of equations is the first one.

Step-by-step explanation:

h+d=300

2h+d=420

Answer:

The answer is 34.75% because:

Step-by-step explanation:

36-(1÷3)-(1÷4)-(1÷6)-(1÷2)=

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Answer:

6

Step-by-step explanation:

(1/3) + (1/4) + (1/6) + (1/2)

5/6

At max, ⅚ of the pies contain atleast one of these ingredients

1 - ⅚ = ⅙

Atleast ⅙ of them don't contain any

⅙ × 3 dozen

⅙ × 36

6

Answer:

$28.90

Step-by-step explanation:

If it is marked down 15% then that means it is sold at 85% of the original price

x/34=85/100

cross multiply both fractions

100x=2890

x=28.90

Answer:

$28.90

Step-by-step explanation:

take 34 and multiply that by .15, that would get you 5.1

take 34 and subtract 5.1 and that should get you your new price

Answer:

2,916 cubic centimeters

Step-by-step explanation:

9 x 4 x 6 = 216 Because it is a triangular prism, you'll have to divide it by 2

216/2 = 108 for each

108 x 27 = 2,916 cubic centimeters

All work was done by me, not Google

Answer:

[tex]-2^{2} -4(1)(5)[/tex]

so the answer would be c.

Step-by-step explanation:

The discriminant is the following equation:

[tex]b^{2} -4ac[/tex]

You just simply plug in the values of the coefficients.

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

a = 1 (first terms coefficient)

b = -2 (second terms coefficient)

c = 5 (last terms coefficient)

The scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.

Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".

preimage ----> image

before ----> after

Answer:

he scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.

Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".

Step-by-step explanation:

The expression [tex]\(2^6\)[/tex] means 2 raised to the power of 6. It indicates multiplying 2 by itself six times. So, [tex]\(2^6\)[/tex] is equal to 64. The correct answer is C. 64.

It seems like the expression you've written is [tex]2^{6}[/tex], which means 2 raised to the power of 6. Let's evaluate this expression:

[tex]\[ 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \][/tex]

So, the correct answer is:

[tex]\[ \text{C. 64} \][/tex]

Q- Evaluate the expression  [tex]2^{6}[/tex].

A. 26

B. 12

C. 64

D. 36

The sections on the spinner are used to illustrate probability

The reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

The sections in the spinners are:

From the above parameters, the probability of each section is:

P(Red) = 1/4

P(Blue) = 1/2

P(Yellow) = 1/2

When the spinner is spun 1000 times, the expected outcomes are:

Red = 1/4 * 1000 = 250

Blue = 1/2 * 1000 = 500

Yellow = 1/4 * 1000 = 250

From the above calculations, we can determine that the reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

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Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically,  you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10.  34 divided by 10 is 3.4.

The quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

Therefore, the quotient between 33.7 and 9.5 would be:

33.7/9.5 = 3.547 (division).

We are asked to round to the nearest whole number.

Therefore, the quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

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Answer:

Equilateral triangles can have only acute angles because acute angles means less than 90° so every angles in equilateral triangle have 60°

Answer: B D E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

Answer:

the answer is X > 9

Step-by-step explanation:

you divide move the 2 to the other side and divide by 18

Answer:

5:24

Step-by-step explanation:

We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have

90:432

Simplification:

Dividing both sides by 2 we obtain

45:216

Dividing both sides of the above ratio by 3 we obtain

15:72

Dividing both sides of the above ratio further by 3 we obtain

5:24

Therefore, rhe simplified ratio of rebounds ro steals is 5:24

Answer:

1 i think

Step-by-step explanation: