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4 years ago

What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Mathematics

2 answers:

Dominik [7]4 years ago

7 0

Answer:

3, and -7

Step-by-step explanation:

First factor the trinomial

y=x2−4x−21

Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).

y = (x + 3)(x - 7)

Solving the 2 binomials, we get:

x = -3 and x = 7

trasher [3.6K]4 years ago

6 0

Answer: Its B

A number line going from negative 8 to 8. Closed circles are at negative 3 and 7. The line between the circles is shaded.

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Given f (x) = -12x + 72, find x when f(x) = 24.

Neko [114]

Answer:

x = 4

Given:

f(x) = -12x + 72

f(x) = 24

Step-by-step explanation:

$= > - 12x + 72 = 24 \\ \\ = > - 12x = 24 - 72 \\ \\ = > \cancel{- }12x = \cancel{-} 48 \\ \\ = > 12x = 48 \\ \\ = > x = \frac{48}{12} \\ \\ = > x = 4$

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3 years ago

Celia writes the addition problem shown.she says she can tell which sum will be greater without adding.how does she know?

kobusy [5.1K]

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3 years ago

What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

AveGali [126]

Answer: $\text{Area of the square shaped traffic sign }=16x^2+9+24x$

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

$Area= side^2$

Therefore, the area of the side of the square shaped field is given by:-

$Area=(4x+3)^2$

We know that , $(a+b)^2=a^2+b^2+2ab$

Therefore,

$(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x$

Hence, $\text{Area of the square shaped traffic sign }=16x^2+9+24x$

3 0

3 years ago

Read 2 more answers

A student says that the slope pf the line for the equation y=20-15x is 20 and the y-intercept is 15. Find and correct the error.

Alla [95]

We have this equation for the slope is: y=mx+b which m is the slope and b is the y-intercept, so we have y=20-15x or y=-15x+20, and we already know that the slope is -15 and y-intercept is 20. As a result, the student's error is that he thinks that 20 is the slope because it is the first number. Hope it help!

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4 years ago

use the ruler provided to measure the base of the parallelogram shown to the nearest 0.5 CM which measurement is the closest to

valkas [14]

Answer:

Area of the parallelogram = 21.6 cm²

Step-by-step explanation:

Area of a parallelogram = Base × Height of the side parallel to the base

By using ruler,

Base = 4.8 cm

Height of parallelogram = 4.5 cm

Area of the parallelogram = 4.8 × 4.5

= 21.6 cm²

3 0

3 years ago