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3 years ago

The diagram shows the graph of a quadratic dinction y=f(x).

Mathematics

2 answers:

Nataliya [291]3 years ago

6 0

Answer:

the roots are x= -4 and x=6

the equation of the axis of symmetry is x^2-2x-24

Step-by-step explanation:

to find the roots you go to the area where the graph is touching the x axis because y is 0 on the x axis

to find the equation use the values of the x intercepts which are -4 and 6

(x+4)(x-6)

solve this into an equation by multiplying everything in the first brackets by every thing in the second the answer you are likely to come up with is x^2-2x-24

I hope this helps

Montano1993 [528]3 years ago

5 0

Answer:

hodrvyeieiwb was the only one to win a lot

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Point P is shown on the number line below.

Shalnov [3]

Answer:

I don't see the number line

Step-by-step explanation:

i would love to help you out, but I don't see the number line I'm supposed to be referencing.

3 0

3 years ago

Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered

Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

= 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

= 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

6 0

4 years ago

if your car gets 26 miles per gallon how much does it cost to drive 420 miles when gas is $2.80 per gallon

Kitty [74]

Answer:

$45.22

Step-by-step explanation:

The number of miles per gallon can be represented by the ratio:

$\frac{miles}{gallon}=\frac{26}{1}$

Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:

$\frac{26}{1}=\frac{420}{x}$ , where 'x' is the number of gallons of gas

cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons

If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:

16.15 x $2.80 = $45.22

5 0

3 years ago

144 ft squared to square yards?

Iteru [2.4K]

144 feet is 16 yards^2

8 0

4 years ago

Find the measure of x.

Andreyy89

Answer:

x = 10

Step-by-step explanation:

3 0

3 years ago