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3 years ago

Algebra question help needed please

Mathematics

1 answer:

Bess [88]3 years ago

8 0

F(x)= 0.02x^2 + 0.08x + 30.6

so for f(0) all that means is where you see x plug 0 for x..

f(0)= 0.02(0)^2+ 0.08(0) + 30.6
f(0)= 30.6

f(4)= 0.02(4)^2 + 0.08(4) + 30.6

f(10)= 0.02(10)^2 + 0.08(10) + 30.6

attached are calculated answers

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Rewrite it in factored form: x4 - y2 x2

SCORPION-xisa [38]

Answer:

$(x^2+xy)(x^2-xy)$

Step-by-step explanation:

I'm going to write it so I can see it better:

$x^4-y^2x^2$

You can use the difference of squares formula:

$(x^2+xy)(x^2-xy)$

3 0

3 years ago

Twice a number x exceed 5 at least by 4. find the possible value of x.

salantis [7]

Answer:

Step-by-step explanation:

2x › 5 (buy at least 4)

so you can just start plugging numbers in.

I used 5, 5 times 2 is 10 which is 5 more that 5, which does met the quota.

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2 years ago

Read 2 more answers

The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term

11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1 Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0

3 years ago

Complete the inequality statement. Complete the inequality statement. 24/25 ___ 96

valina [46]

Step-by-step explanation:

Step 1: Compare

$\frac{24}{25}$ → 0.96

0.96 ____ 96

0.96 < 96

Answer: <

If you meant 24/25 ____ 0.96

$\frac{24}{25}$ → 0.96

0.96 ____ 0.96

0.96 = 0.96

7 0

3 years ago

Read 2 more answers

I NEED HELP !!! 30 points!!!! and brainliest :) please give sensible answer :(

Allushta [10]

Answer:

Step-by-step explanation:

9) PQR Is an isosceles triangle

=> ∠PRQ = (180° - x)/2

PRS is an isosceles right triangle

=> ∠PRS = 45°

Have: ∠PRS + ∠PRQ = 115°

=> $\frac{180-x}{2}+45=115 \\$

=> 180 - x = (115 - 45).2 = 140

<=> x = 180 - 140 = 40

10) ABD is an isosceles right triangle => ∠ABD = 45°

BCD is an equilateral triangle => ∠CBD = 60°

have: x = ∠ABD + ∠CBD = 45° + 60° = 105°

11) have: x = y (2)

PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40

QTS is an isosceles triangle => ∠TQS = 180 -2x

QRS is an isosceles triangle => ∠RSQ = y

have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)

(1)(2) => $\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.$

=> x + y = 80

12) EFJ Is an equilateral triangle => ∠FJE = 60

∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle

=> 60 = 2.∠JHF => ∠JHF = 30°

∠JHF is the outer angle of the triangle FHG

=> 30° = 2x

<=> x = 15°

7 0

2 years ago