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Bond [772]
3 years ago
7

Solve the equation for x

Mathematics
2 answers:
Ahat [919]3 years ago
6 0

Answer:

B.   x = -4

Step-by-step explanation:

- 7x - 35 = -7

add 35 to both sides

-7x = 28

Divde both sides by -7

x = -4

Mama L [17]3 years ago
5 0

Answer: X = -4

Step-by-step explanation:

-7x - 35 = -7

-7x = -7 + 35

-7x = 28

<u> x = -4</u>

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the double number line shows that in 3 seconds an ostrich can run 63 meters. how far can the ostrich run in 5 seconds
inna [77]

Answer: 105 meters

Step-by-step explanation:

Ostrich's running rate is 63 meters/3 seconds. This can be reduced to 21 meters/second (21 m/s).

(21 m/s)*(5 sec) = 105 meters

5 0
2 years ago
Choose the TWO factored binominals for the expression: x2+6x – 27 Question 6 options: A) (x - 3) B) (x - 9) C) (x + 6) D) (x + 9
Vera_Pavlovna [14]

Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

You need to find two numbers that multiply to -27 and add up to 6

Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6

So you add those to x and those are your two factored binomials

(x-3) and (x+9)

4 0
3 years ago
Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16,
dimaraw [331]

Answer:

\angle P

Step-by-step explanation:

Given

\triangle PRQ = \triangle TSU = 90^o

PQ = 20     QR = 16    PR = 12

ST = 30       TU = 34    SU = 16

<em>See attachment</em>

Required

Which sine of angle is equivalent to \frac{4}{5}

Considering \triangle PQR

We have:

\sin(P) = \frac{QR}{PQ} --- i.e. opposite/hypotenuse

So, we have:

\sin(P) = \frac{16}{20}

Divide by 4

\sin(P) = \frac{4}{5}

Hence:

\angle P is correct

7 0
2 years ago
Which property is demonstrated below? (b·c)d=b(c·d) A. associative property B. distributive property C. commutative property D.
Snezhnost [94]

Answer:

associative

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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