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3 years ago

What are the solution(s) to the quadratic equation x^2 - 25 = 0?

Mathematics

1 answer:

katovenus [111]3 years ago

5 0

5935 their 5939 3934

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Factor completely:<br><br> –abc –5ac –4ab –20a

galben [10]

Answer:

$-a(b+5)(c+4)$

Step-by-step explanation:

$-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)$

3 0

2 years ago

The graph of a quadratic function has a vertex located at (7,-3) and passes through points (5,5) and (9,5). Which equation best

Serga [27]

Answer:

B) $f(x)=2(x-7)^2-3$ .

Step-by-step explanation:

The vertex form of the equation is given by $f(x)=a(x-h)^2+k$ .

We plug in the vertex to obtain:

$f(x)=a(x-7)^2-3$ .

Since the graph passes through (5,5) and (9,5), they must satisfy its equation.

$5=a(9-7)^2-3$ .

$5+3=4a$ .

$8=4a$

Divide both sides by 4.

$a=2$

Therefore the equation is:

$f(x)=2(x-7)^2-3$ .

4 0

3 years ago

Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. W

choli [55]

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

$\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21$

Total amount that food costs without tax is

$\Rightarrow 13+2.21\\\Rightarrow \$15.21$

7 0

3 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

Alla [95]

9514 1404 393

Answer:

tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

tan(A) = 7/24

sin(A) = 7/25

cos(A) = 24/25

5 0

3 years ago

You have checked model income statements and estimate your payroll expense will be 36% of revenue. You expect sales to be $9,000

aksik [14]

Answer:

Budget annual payroll = $168,480

Step-by-step explanation:

Given:

Expect sales per week = $9,000

Revenue over sales = 36% = 0.36

Find:

Budget annual payroll = ?

Computation:

Assume number of week per year = 52

⇒ Budget annual payroll = Expect sales per week × Number of week per year × Revenue over sales

⇒ Budget annual payroll = $9,000 × 52 × 0.36

⇒ Budget annual payroll = $168,480

3 0

3 years ago