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ivolga24 [154]
2 years ago
12

How many terms in (3x^2-4x+2)-(2x^2-4x-5)

Mathematics
1 answer:
Drupady [299]2 years ago
7 0

\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}

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The equation is equivalent to u = rst. <br><br> True/ False
Jlenok [28]

The equation r = u/st is equivalent to u = rst .

True

7 0
3 years ago
Two separate bacteria populations grow each month and are represented by the
ASHA 777 [7]

Answer:

Option 4.) month 4

Step-by-step explanation:

we have

f(x)=3^{x} ----> equation A

g(x)=7x+6 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (3,27)

That means -----> For x=3 months, the populations in both functions are the same (the bacteria populations is 27)

therefore

For x> 3 months the f(x) population is greater then the g(x) population

5 0
2 years ago
Please I need help ASAP<br>pls explain your answer ​
USPshnik [31]

Answer:

47.62 cm

Step-by-step explanation:

ABCD is a rhombus. Each side measures 15 cm.

m<A = 60°.

Here are some properties of a rhombus:

Opposite angles of a rhombus are congruent.

m<C = m<A = 60°

m<ADC = m<ABC

The sum of the measures of the interior angles of a quadrilateral is 360°.

The diagonals are perpendicular bisectors of each other.

m<A + m<C + m<ADC + m<ABC = 360°

60° + 60° + 2m<ADC = 360°

2m<ADC = 240°

m<ADC = 120°

Each diagonal of a rhombus bisects a pair of congruent, opposite angles.

m<ADB + m<CDB = m<ADC

m<ADB = m<CDB

m<ADB + m<ADB = 120°

m<ADB = 60°

Triangle ABD had two angles, <A and <ADB, that measure 60°. Therefore, the third angle, <ABD also measures 60°. That makes triangle ABD an equilateral triangle.

Draw segment AT.

T is the midpoint of BD. The segment AT is the perpendicular bisector of segment BD. Triangle ATD is a 30-60-90 triangle.

Using the ratio of the lengths of the sides of a 30-60-90 triangle, we can calculate the length of AT which is the radius of circle A.

TD : AT : AD

1    : √3 :   2

AD = 15 cm

TD = AD/2

AT = √3 × TD

AT = (AD√3)/2

AT = 7.5√3 = 12.99

AQ = 12.99

perimeter = QD + PB + m(arc)PTQ + BC + CD

perimeter = (15 - 12.99) + (15 - 12.99) + 60°/360° × 2π(12.99) + 15 + 15

perimeter = 47.62

Answer: perimeter = 47.62 cm

7 0
2 years ago
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the origi
Alika [10]

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

8 0
2 years ago
1. If h(x) = 4x - 2, then which of the following is the solution to h(x) = 3 ?
luda_lava [24]

Answer:

10

Step-by-step explanation:

h(x)=4x-2                         h(x)=3

h(3)=4(3)-2                     substitute

h(3)=12-2                        multiply

=10                                subtract

8 0
2 years ago
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