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kvasek [131]
3 years ago
5

The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

y = x² + x - 12

Step-by-step explanation:

Given the solutions are x = - 4 and x = 3, then the factors are

x(x - (- 4)) and (x - 3), that is (x + 4) and (x - 3)

The equation is then the product of the factors

y = (x + 4)(x - 3) ← expand using FOIL

   = x² - 3x + 4x - 12

   = x² + x - 12 ← in standard form

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F ( x ) = 5^x+ 2; g ( x ) = 5^-x + 6
Anton [14]
*GUARANTEED ANSWER ✅*

Down below is the equation graphed

3 0
3 years ago
Which of the following fractions is greater than -4/5 but less than -3/4
choli [55]

Answer:

B. -19/25

Step-by-step explanation:

You are looking for an answer that is greater than -4/5 (which is equal to -0.80) but less than -3/4 (which is equal to -0.75). So, you can easily convert the fractions to decimals by dividing.

-33/50 = -0.66, which is greater than -0.75, so it can be eliminated.

-19/25 = -0.76, which fits our parameters, so it is the answer.

-19/20 = -0.95, which is less than -0.80, so it can be eliminated.

-7/10 = -0.70, which is greater than -0.75, so it can be eliminated.

7 0
4 years ago
Is my answer correct? <br> --&gt; tell me why i'm wrong if that's the situation please!!
BlackZzzverrR [31]

Answer:

the correct one is c, which is the second option

Step-by-step explanation:

The exterior angle of a polygon is 360.

And for a rectangle, they have equal exterior angles.

So a rectangle has 4 sides

So each exterior angle=360/4

Then each is 90°

Then the correct c which has 90°

8 0
3 years ago
If you have a triangle and all its angles equal 60 degrees could you say its equilateral?
RSB [31]

Answer:

yes it is an equilateral triangle

5 0
3 years ago
If shown, AB and CD are straight lines. Find x in each case.
nlexa [21]

Answer:

x = 60

Step-by-step explanation:

Vertical opposite angles are formed when two straight lines intersect each other.

Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:

∠AOD = ∠COB (Vertical opposite angles are congruent)

∠AOE = 90° (right angle)

∠DOE = x

∠COF = 30°

∠BOF = 2x

m∠AOE + m∠DOE = m∠AOD (angle addition postulate)

90 + x = ∠AOD (Substitution)

m∠COF + m∠BOF = m∠COB (Angle addition postulate)

30 + 2x = ∠COB

m∠AOD = m∠COB (vertical opposite angles)

90 + x = 30 + 2x (Substitution)

Collect like terms

90 - 30 = 2x - x

60 = x

x = 60

4 0
3 years ago
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