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qaws [65]
2 years ago
8

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared

b x c. Factor the trinomial 7x2 – 3x – 4. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?.
Mathematics
2 answers:
MaRussiya [10]2 years ago
8 0

Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: (7x+4)  and (x-1)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c,

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha - \beta

The given expression is 7x^2 - 3x - 4

Comparing it with the standard form of quadratic expression ax^2 + bx + c, we get: a = 7, b = -3, c = -4

ac = -28

-28 = -2 times 14

-28 = -7 times 4 (-7 + 4 = -3 = b)

Thus, \alpha = -7, \beta = 4

Thus, we get:

7x^2 - 3x - 4 = 7x^2 - 7x + 4x - 4 = 7x(x-1) + 4(x-1)  = (7x+4)(x-1)\\7x^2  - 3x  - 4 = (7x+4)(x-1)

Thus, The factors of given expression are: (7x+4)  and (x-1)

Learn more about factor of quadratic equation here:

brainly.com/question/26675692

tensa zangetsu [6.8K]2 years ago
7 0

Answer:

(x+2) (x+8)

2 nn 8

Step-by-step explanation:

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MAVERICK [17]
14 x 25 x 4

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The distributive property isn't required. However, I can solve it using the property...

14 x 25 x 4

= 14 x 100

= (10+4)100

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3 0
4 years ago
I need help with this question
pentagon [3]

Answer:

y = -3x + 8

Step-by-step explanation:

You have to find the slope first using the formula \frac{y_{2}-y_{1} }{x_{2}-x_{1}}

Insert any two points in the equation (1,5) and (2,2) and you get -3.

Then, you do any x value times the slope (1*-3 = -3) and add so that it equals the corresponding y value (8).

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7 0
3 years ago
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
3 years ago
The current value Of a investment is 25% More than its initial value the increase in value is 10million what was the initial val
azamat

Answer:

50 million

Step-by-step explanation:

current value: c

initial value : i

c = 1.2 × i

x - i = 10

10 + i = 1.2 × i

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8 0
3 years ago
What is the value of x in the diagram below?
otez555 [7]

The cosine of 30° is √3 / 2.

Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.

The cosine of 45° is √2 / 2.

Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C

8 0
3 years ago
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