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2 years ago

Help with these questions please!

Mathematics

2 answers:

Marysya12 [62]2 years ago

7 0

I know this isn't helpful, but I REALLY need help on this question...

Given: f(x) = x^2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.

Alisiya [41]2 years ago

4 0

Answer:

1. 16

2. -4

Step-by-step explanation:

First factor the expression

lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)

lim x→1 (x-1) (x+3)^2/(x-1)

Canceling the x-1 in the top and bottom

lim x→1 (x+3)^2

Let x=1

lim x→1 (1+3)^2 = 4^2 = 16

2. lim x→0 (x^2 -6x+8) /(x-2)

First factor the expression

lim x→0 (x-4) (x-2) /(x-2)

Canceling the x-2 in the top and bottom

lim x→0 (x-4)

Let x=0

lim x→0 (0-4) = -4

Filling in the table

x -.1 -.01 -.001 .001 .01 .1

f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9

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Help me with this please!!

Mamont248 [21]

Answer: (2,7)

Midpoint formula = ( $\frac{x1,x2}{2}$ , $\frac{y1,y2}{2}$ )

1 + 3 / 2 = 2

5 + 9 / 2 = 7

7 0

2 years ago

Which expression represents a number that is 4 times as great as the quotient of 25 and 5? A. ( 25 × 5 ) × 4 B. 4 ÷ ( 25 × 5 ) C

oksano4ka [1.4K]

Answer:

It would be D.

4 0

2 years ago

Read 2 more answers

50 Points: Name the similar triangles & Prove the similarity with details

Leno4ka [110]

Let's consider the facts at hand:

By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
∠BEC = ∠DFC
Sides BE = DF

Based on the diagram, triangles BCE and triangles DCF are similar

⇒ based on the Angle-Angle theorem

⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

⇒ the two triangles are similar

Hope that helps!

Definitions of Theorem I used:

Vertical Angle Theorem: opposite angles of two intersecting lines must be equal
Angle-Angle Theorem: if two angles of both triangles are equal, then the given triangles must be similar

8 0

1 year ago

5(x+3)-7(6-3)+29=50-3(8-x)

Sveta_85 [38]

Answer:

$\quad x=\frac{3}{2}$

Step-by-step explanation:

$7\left(6-3\right)=21$ , $\mathrm{Expand\:}5\left(x+3\right)-21+29:\quad5x+23$ , $\mathrm{Expand\:}50-3\left(8-x\right):\quad 3x+26$ , Subtract 23 and 3x from both sides and simplify: $2x=3$ , Divide both sides by 2 and simplify: $x=\frac{3}{2}$